Table of contents

  1. December 2013
  2. November 2013
  3. October 2013
  4. September 2013
  5. August 2013
  6. July 2013
  7. June 2013
  8. May 2013
  9. April 2013
  10. March 2013
  11. February 2013
  12. January 2013

December 2013

December 22, 2013

Serge Batalov found 5 near-repdigit-related PRPs.

Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
36269817 23396620575970w92339662057597·109804+9December 22, 2013Serge Batalov
40738621 23396620575970w72339662057597·108608+7December 22, 2013Serge Batalov
44087745 23396620575970w92339662057597·107732+9December 22, 2013Serge Batalov
56415344 23396620575970w92339662057597·105331+9December 22, 2013Serge Batalov
58225021 23396620575970w72339662057597·105008+7December 22, 2013Serge Batalov

December 21, 2013

Serge Batalov found the largest known near-repdigit-related quadruplet. Congratulations!

Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
24933503 23396620575970w92339662057597·103490+9December 21, 2013Serge Batalov
24943503 23396620575970w72339662057597·103490+7December 21, 2013Serge Batalov
24953503 23396620575970w32339662057597·103490+3December 21, 2013Serge Batalov
24963503 23396620575970w12339662057597·103490+1December 21, 2013Serge Batalov
  1. The Top Twenty: Quadruplet (Chris K. Caldwell)
  2. The Prime Database: 2339662057597*10^3490+9 (Chris K. Caldwell)
  3. The Prime Database: 2339662057597*10^3490+7 (Chris K. Caldwell)
  4. The Prime Database: 2339662057597*10^3490+3 (Chris K. Caldwell)
  5. The Prime Database: 2339662057597*10^3490+1 (Chris K. Caldwell)

December 18, 2013

Predrag Kurtovic found 1 near-repdigit prime.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
1135935692999929w93·10359354-1December 18, 2013Predrag Kurtovic
  1. The Prime Database: 93*10^359354-1 (Chris K. Caldwell)
  2. The Top Twenty: Near-repdigit (Chris K. Caldwell)

December 16, 2013

P.Kurtovic found 1 near-repdigit prime.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
13452472 9999999959w999999996·1052463-1December 16, 2013P.Kurtovic

December 15, 2013

P.Kurtovic found 3 near-repdigit primes.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
10474975 9999999929w999999993·1074966-1December 15, 2013P.Kurtovic
11763881 9999999959w999999996·1063872-1December 15, 2013P.Kurtovic
12260025 9999999919w999999992·1060016-1December 15, 2013P.Kurtovic

December 12, 2013

Erik Branger found 4 quasi-repdigit PRPs.

Unprovable quasi-repdigit PRPs (except pd)
 digitsflabelwlabelexpressionwhenwho
38729171666316w3(5·1072916-11)/3December 12, 2013Erik Branger
51657741666716w7(5·1065773+1)/3December 12, 2013Erik Branger
65591431666716w7(5·1059142+1)/3December 12, 2013Erik Branger
74543891666316w3(5·1054388-11)/3December 12, 2013Erik Branger

November 2013

November 30, 2013

Factorizations of 900...007, Factorizations of 911...113, Factorizations of 922...223, Factorizations of 944...443, Factorizations of 944...449, Factorizations of 966...661, Factorizations of 977...771, Factorizations of 977...77 and Factorizations of 988...883 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

November 26, 2013

Factorizations of 800...003, Factorizations of 811...113, Factorizations of 811...117, Factorizations of 822...221, Factorizations of 833...339, Factorizations of 844...447, Factorizations of 855...559, Factorizations of 877...773, Factorizations of 877...777 and Factorizations of 877...779 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

November 22, 2013

Erik Branger found 14 quasi-repdigit PRPs.

Unprovable quasi-repdigit PRPs (except pd)
 digitsflabelwlabelexpressionwhenwho
14984733999739w74·1098472-3November 22, 2013Erik Branger
17978003999139w14·1097799-9November 22, 2013Erik Branger
19952158777387w3(79·1095214-43)/9November 22, 2013Erik Branger
34810223000730w73·1081021+7November 22, 2013Erik Branger
41715048666986w9(26·1071503+7)/3November 22, 2013Erik Branger
69550783000730w73·1055077+7November 22, 2013Erik Branger
78501952999329w33·1050194-7November 22, 2013Erik Branger
111434943999139w14·1043493-9November 22, 2013Erik Branger
127422962999329w33·1042295-7November 22, 2013Erik Branger
165379362999329w33·1037935-7November 22, 2013Erik Branger
184359112999329w33·1035910-7November 22, 2013Erik Branger
203341483999139w14·1034147-9November 22, 2013Erik Branger
229315733000730w73·1031572+7November 22, 2013Erik Branger
244300582999329w33·1030057-7November 22, 2013Erik Branger

NOTE: (4·1098472-3)-1 = 22·32·R(98472) has 70 known prime factors. Its ratio of the factored part is about 1 percent.

Factorizations of 722...221, Factorizations of 722...229, Factorizations of 744...449, Factorizations of 755...551, Factorizations of 766...667, Factorizations of 777...779, Factorizations of 788...887, Factorizations of 788...889 and Factorizations of 799...993 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

November 18, 2013

Factorizations of 700...003, Factorizations of 711...113 and Factorizations of 711...119 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

November 14, 2013

Factorizations of 655...553, Factorizations of 655...559 and Factorizations of 688...889 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

November 11, 2013

Serge Batalov factored the near-repdigit number 10253-7·10126-1 into two prime factors. c253 = P117 · P137. It's the biggest SNFS factorization in our tables and P117 is the biggest prime factor in our tables so far. Congratulations!

November 10, 2013

Factorizations of 644...447, Factorizations of 644...449 and Factorizations of 655...551 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

November 6, 2013

Factorizations of 88...887, Factorizations of 955...557 and Factorizations of 644...443 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

November 2, 2013

Factorizations of 633...331, Factorizations of 633...337 and Factorizations of 644...441 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

October 2013

October 29, 2013

Factorizations of 622...221, Factorizations of 622...227 and Factorizations of 622...229 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

October 27, 2013

Ray Chandler found 51st, 52nd and 53rd primes of the form 15333439148021553651758463273·10n-1 and 47th and 48th primes of the form 18309851958137724539209523148·10n-1.

Prime numbers of the form k·10n-1 (including 45 known prime numbers at least)
 digitsflabelwlabelexpressionwhenwho
34228326 153334391480215536517584632729w15333439148021553651758463273·1028297-1October 27, 2013Ray Chandler
36027393 183098519581377245392095231479w18309851958137724539209523148·1027364-1October 27, 2013Ray Chandler
45223216 153334391480215536517584632729w15333439148021553651758463273·1023187-1October 27, 2013Ray Chandler
45823114 183098519581377245392095231479w18309851958137724539209523148·1023085-1October 27, 2013Ray Chandler
52520154 153334391480215536517584632729w15333439148021553651758463273·1020125-1October 27, 2013Ray Chandler

October 26, 2013

P.Kurtovic found 2 quasi-repdigit primes.

Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
815287570999709w71·10152873-1October 26, 2013P.Kurtovic
149776370999709w71·1097761-1October 26, 2013P.Kurtovic

October 25, 2013

P.Kurtovic found 1 quasi-repdigit prime.

Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
215048370999709w71·1050481-1October 25, 2013P.Kurtovic

Factorizations of 611...113, Factorizations of 611...117 and Factorizations of 611...119 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

October 24, 2013

Ray Chandler found 6 near-repdigit-related primes.

Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
42229248 980350w198035·1029243+1October 24, 2013Ray Chandler
59122399 21610w12161·1022395+1October 24, 2013Ray Chandler
64420485 2077770w1207777·1020479+1October 24, 2013Ray Chandler
64820235 2077770w1207777·1020229+1October 24, 2013Ray Chandler
65120168182991829w183·1020165-1October 24, 2013Ray Chandler
65220107 3630w1363·1020104+1October 24, 2013Ray Chandler

October 22, 2013

Ray Chandler found 1 near-repdigit-related prime.

Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
25135467 720480w172048·10135462+1October 22, 2013Ray Chandler

October 21, 2013

Factorizations of 588...881, Factorizations of 588...887 and Factorizations of 599...993 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

October 18, 2013

Ray Chandler found 2 near-repdigit-related primes.

Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
26106340 720480w172048·10106335+1October 18, 2013Ray Chandler
3296452 720480w172048·1096447+1October 18, 2013Ray Chandler

October 17, 2013

Factorizations of 577...771, Factorizations of 577...773 and Factorizations of 577...779 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

October 13, 2013

Bob Price found 1 quasi-repdigit PRP.

Unprovable quasi-repdigit PRPs (except pd)
 digitsflabelwlabelexpressionwhenwho
121053217555175w1(68·10105320-41)/9October 13, 2013Bob Price

Ray Chandler found 6 near-repdigit-related primes.

Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
5966444 720480w172048·1066439+1October 13, 2013Ray Chandler
6563799 720480w172048·1063794+1October 13, 2013Ray Chandler
7062180 720480w172048·1062175+1October 13, 2013Ray Chandler
7162143 1059940w1105994·1062137+1October 13, 2013Ray Chandler
8057733 720480w172048·1057728+1October 13, 2013Ray Chandler
8755821 1059940w1105994·1055815+1October 13, 2013Ray Chandler

Factorizations of 55...557, Factorizations of 566...663 and Factorizations of 566...669 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

October 11, 2013

Ray Chandler found 33 near-repdigit-related primes.

Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
14447008 495210w149521·1047003+1October 11, 2013Ray Chandler
28036892 495210w149521·1036887+1October 11, 2013Ray Chandler
29236233 4270w1427·1036230+1October 11, 2013Ray Chandler
35832221 720480w172048·1032216+1October 11, 2013Ray Chandler
38230626 495210w149521·1030621+1October 11, 2013Ray Chandler
40529496 495210w149521·1029491+1October 11, 2013Ray Chandler
42428709 720480w172048·1028704+1October 11, 2013Ray Chandler
46127203 4270w1427·1027200+1October 11, 2013Ray Chandler
62020796 24750w12475·1020792+1October 11, 2013Ray Chandler
65219669 48390w14839·1019665+1October 11, 2013Ray Chandler
66119160 4270w1427·1019157+1October 11, 2013Ray Chandler
69218443 4270w1427·1018440+1October 11, 2013Ray Chandler
69618351 720480w172048·1018346+1October 11, 2013Ray Chandler
69818300 720480w172048·1018295+1October 11, 2013Ray Chandler
71717859 4270w1427·1017856+1October 11, 2013Ray Chandler
73417397 720480w172048·1017392+1October 11, 2013Ray Chandler
78016221 720480w172048·1016216+1October 11, 2013Ray Chandler
81015705 720480w172048·1015700+1October 11, 2013Ray Chandler
83815076 1059940w1105994·1015070+1October 11, 2013Ray Chandler
85414674 495210w149521·1014669+1October 11, 2013Ray Chandler
87814122 24750w12475·1014118+1October 11, 2013Ray Chandler
102411740 4270w1427·1011737+1October 11, 2013Ray Chandler
103311608 4270w1427·1011605+1October 11, 2013Ray Chandler
112710170 495210w149521·1010165+1October 11, 2013Ray Chandler
11539767 1059940w1105994·109761+1October 11, 2013Ray Chandler
11589658 495210w149521·109653+1October 11, 2013Ray Chandler
12268796 4270w1427·108793+1October 11, 2013Ray Chandler
12328718 720480w172048·108713+1October 11, 2013Ray Chandler
12658282 1059940w1105994·108276+1October 11, 2013Ray Chandler
13067869 720480w172048·107864+1October 11, 2013Ray Chandler
13787181 4270w1427·107178+1October 11, 2013Ray Chandler
14576413 1059940w1105994·106407+1October 11, 2013Ray Chandler
16345266 1059940w1105994·105260+1October 11, 2013Ray Chandler

P.Kurtovic found 2 near-repdigit primes.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
10178006 999999949w99999995·1077998-1October 11, 2013P.Kurtovic
10275450 999999959w99999996·1075442-1October 11, 2013P.Kurtovic

October 10, 2013

P.Kurtovic found 2 near-repdigit primes.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
13151332 999999959w99999996·1051324-1October 10, 2013P.Kurtovic
16735849 999999919w99999992·1035841-1October 10, 2013P.Kurtovic

October 9, 2013

Factorizations of 544...447, Factorizations of 544...449 and Factorizations of 55...551 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

October 5, 2013

Factorizations of 533...339, Factorizations of 544...441 and Factorizations of 544...443 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

October 2, 2013

Ray Chandler found 6 quasi-repdigit primes and 28 near-repdigit-related primes.

Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
7925719 9939929w993993·1025713-1October 2, 2013Ray Chandler
9222855961999619w962·1022852-1October 2, 2013Ray Chandler
9522405 9939929w993993·1022399-1October 2, 2013Ray Chandler
11517456 9939929w993993·1017450-1October 2, 2013Ray Chandler
13714038 9939929w993993·1014032-1October 2, 2013Ray Chandler
2295602 9939929w993993·105596-1October 2, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
11449325 235939w23594·1049320-1October 2, 2013Ray Chandler
12048825 28429w2843·1048821-1October 2, 2013Ray Chandler
12548450470994709w471·1048447-1October 2, 2013Ray Chandler
20242154470994709w471·1042151-1October 2, 2013Ray Chandler
22440416 53639w5364·1040412-1October 2, 2013Ray Chandler
22640203 17449w1745·1040199-1October 2, 2013Ray Chandler
25738375 235939w23594·1038370-1October 2, 2013Ray Chandler
36231725 1169w117·1031722-1October 2, 2013Ray Chandler
36431480 17449w1745·1031476-1October 2, 2013Ray Chandler
38730161 53639w5364·1030157-1October 2, 2013Ray Chandler
38929965 1137559w113756·1029959-1October 2, 2013Ray Chandler
43128134 755669w75567·1028129-1October 2, 2013Ray Chandler
43427916470994709w471·1027913-1October 2, 2013Ray Chandler
53623627 235939w23594·1023622-1October 2, 2013Ray Chandler
55722960 755669w75567·1022955-1October 2, 2013Ray Chandler
57722116 28429w2843·1022112-1October 2, 2013Ray Chandler
63219942470994709w471·1019939-1October 2, 2013Ray Chandler
63719821470994709w471·1019818-1October 2, 2013Ray Chandler
65319141 17449w1745·1019137-1October 2, 2013Ray Chandler
78415880 755669w75567·1015875-1October 2, 2013Ray Chandler
99611793470994709w471·1011790-1October 2, 2013Ray Chandler
11229917 235939w23594·109912-1October 2, 2013Ray Chandler
12568077 755669w75567·108072-1October 2, 2013Ray Chandler
13077654470994709w471·107651-1October 2, 2013Ray Chandler
14126527 53639w5364·106523-1October 2, 2013Ray Chandler
14516200470994709w471·106197-1October 2, 2013Ray Chandler
14566162 53639w5364·106158-1October 2, 2013Ray Chandler
15005833 53639w5364·105829-1October 2, 2013Ray Chandler

October 1, 2013

Factorizations of 522...221, Factorizations of 522...227 and Factorizations of 522...229 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

September 2013

September 27, 2013

Factorizations of 511...11, Factorizations of 511...113 and Factorizations of 511...119 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

September 23, 2013

Factorizations of 500...003 and Factorizations of 500...009 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

P.Kurtovic found 5 quasi-repdigit primes and 4 near-repdigit-related primes.

Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
121006149000190w19·10100613+1September 23, 2013P.Kurtovic
15111946961999619w962·1011943-1September 23, 2013P.Kurtovic
1818149961999619w962·108146-1September 23, 2013P.Kurtovic
2215761961999619w962·105758-1September 23, 2013P.Kurtovic
2235605961999619w962·105602-1September 23, 2013P.Kurtovic
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
80714837 1169w117·1014834-1September 23, 2013P.Kurtovic
86313754 1169w117·1013751-1September 23, 2013P.Kurtovic
13407061 21610w12161·107057+1September 23, 2013P.Kurtovic
15665307 28429w2843·105303-1September 23, 2013P.Kurtovic

September 19, 2013

Factorizations of 499...997 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

September 17, 2013

Serge Batalov found the largest known near-repdigit prime number. It's the first discovered near-repdigit prime number which has over one million digits. Congratulations!

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
110590031999919w2·101059002-1September 17, 2013Serge Batalov
  1. The Prime Database: 2*10^1059002-1
  2. The Top Twenty: Near-repdigit

P.Kurtovic found 1 quasi-repdigit prime and 20 near-repdigit-related primes.

Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
1762747 449w45·1062745-1September 17, 2013P.Kurtovic
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
79515185182991829w183·1015182-1September 17, 2013P.Kurtovic
87713513182991829w183·1013510-1September 17, 2013P.Kurtovic
92412564 2077770w1207777·1012558+1September 17, 2013P.Kurtovic
97311794 213690w121369·1011789+1September 17, 2013P.Kurtovic
97911745 2077770w1207777·1011739+1September 17, 2013P.Kurtovic
104710696 213690w121369·1010691+1September 17, 2013P.Kurtovic
106410450 980350w198035·1010445+1September 17, 2013P.Kurtovic
11569001182991829w183·108998-1September 17, 2013P.Kurtovic
11718827 3630w1363·108824+1September 17, 2013P.Kurtovic
12058376182991829w183·108373-1September 17, 2013P.Kurtovic
12278114 213690w121369·108109+1September 17, 2013P.Kurtovic
12867565251992519w252·107562-1September 17, 2013P.Kurtovic
13347087182991829w183·107084-1September 17, 2013P.Kurtovic
14176245 213690w121369·106240+1September 17, 2013P.Kurtovic
14565903 213690w121369·105898+1September 17, 2013P.Kurtovic
14735810 213690w121369·105805+1September 17, 2013P.Kurtovic
15525355 980350w198035·105350+1September 17, 2013P.Kurtovic
15615308 980350w198035·105303+1September 17, 2013P.Kurtovic
15715242 213690w121369·105237+1September 17, 2013P.Kurtovic
15845133251992519w252·105130-1September 17, 2013P.Kurtovic

September 15, 2013

Factorizations of 488...887 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

September 13, 2013

P.Kurtovic found 2 quasi-repdigit primes.

Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
812616210999109w11·10126160-1September 13, 2013P.Kurtovic
175887510999109w11·1058873-1September 13, 2013P.Kurtovic

September 11, 2013

Factorizations of 488...883 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

September 7, 2013

Factorizations of 477...771 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

September 3, 2013

Factorizations of 466...667 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

August 2013

August 30, 2013

Factorizations of 466...663 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

August 26, 2013

Factorizations of 466...661 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

August 22, 2013

Factorizations of 455...559 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

August 18, 2013

Factorizations of 455...557 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

August 13, 2013

Factorizations of 455...553 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

August 8, 2013

Factorizations of 44...449 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

August 4, 2013

Factorizations of 44...443 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

July 2013

July 31, 2013

Factorizations of 433...339 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

July 27, 2013

Factorizations of 433...337 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

July 23, 2013

Factorizations of 433...333 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

July 20, 2013

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July 18, 2013

Factorizations of 422...229 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

July 14, 2013

Factorizations of 422...223 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

July 10, 2013

Factorizations of 422...221 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

July 6, 2013

Factorizations of 411...117 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

July 2, 2013

Factorizations of 411...113 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

July 1, 2013

Borys Jaworski found the first known prime number of the form 7019·10n-1. Congratulations!

Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
1881313 70189w7019·10881309-1July 1, 2013Borys Jaworski

June 2013

June 28, 2013

Edward Trice found the largest known quasi-repdigit prime number. Congratulations!

Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
19027097000170w17·10902708+1June 28, 2013Edward Trice

Factorizations of 411...11 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

June 24, 2013

Factorizations of 388...889 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

June 20, 2013

Factorizations of 388...887 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

June 16, 2013

Factorizations of 388...881 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

June 12, 2013

Factorizations of 377...779 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

Serge Batalov found another Generalized Woodall prime number of the form k*10^n-1.

Generalized Woodall prime numbers of the form k·10n-1
 digitsflabelwlabelexpressionwhenwho
2151139 755669w75567·10151134-1June 12, 2013Serge Batalov

June 9, 2013

Factorizations of 377...771 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

June 8, 2013

Serge Batalov found the largest known Generalized Woodall prime number of the form k*10^n-1. Congratulations!

Generalized Woodall prime numbers of the form k·10n-1
 digitsflabelwlabelexpressionwhenwho
1341274 1137559w113756·10341268-1June 8, 2013Serge Batalov

June 5, 2013

Factorizations of 366...667 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

June 1, 2013

Factorizations of 355...551 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

May 2013

May 29, 2013

Factorizations of 344...449 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

May 26, 2013

Factorizations of 344...447 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

May 23, 2013

Factorizations of 322...227 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

May 20, 2013

Factorizations of 322...221 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

May 17, 2013

Factorizations of 311...119 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

May 14, 2013

Factorizations of 311...117 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

May 12, 2013

Ray Chandler certificated 5 near-repdigit prime numbers, 35 quasi-repdigit prime numbers and 86 near-repdigit-related prime numbers by Primo. Certifications are available.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
432397816111161w(145·103976-1)/9May 12, 2013Ray Chandler
4343961 9w29999999999103961-70000000001May 12, 2013Ray Chandler
4363944 9w299103944-701May 12, 2013Ray Chandler
4373938 9w8999999999103938-1000000001May 12, 2013Ray Chandler
438391279777797w(718·103910-7)/9May 12, 2013Ray Chandler
Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
2493996111691w69(103996+521)/9May 12, 2013Ray Chandler
25039921444714w7(13·103991+23)/9May 12, 2013Ray Chandler
251399186881868w1(782·103989-71)/9May 12, 2013Ray Chandler
25239889332393w23(28·103987-31)/3May 12, 2013Ray Chandler
2533988555815w81(5·103988+229)/9May 12, 2013Ray Chandler
25439867222172w1(65·103985-11)/9May 12, 2013Ray Chandler
255398491333913w(274·103982-1)/3May 12, 2013Ray Chandler
25639758555385w3(77·103974-23)/9May 12, 2013Ray Chandler
25739697666976w9(23·103968+7)/3May 12, 2013Ray Chandler
258396365663656w3(197·103961-11)/3May 12, 2013Ray Chandler
259396252553525w3(473·103960-23)/9May 12, 2013Ray Chandler
26039612444724w7(22·103960+23)/9May 12, 2013Ray Chandler
26139598777987w9(79·103958+11)/9May 12, 2013Ray Chandler
262395767667676w7(203·103955+1)/3May 12, 2013Ray Chandler
26339556110161w01(55·103954-91)/9May 12, 2013Ray Chandler
2643952888638w63(8·103952-233)/9May 12, 2013Ray Chandler
2653950999319w31103950-69May 12, 2013Ray Chandler
266394993997939w794·103947-3May 12, 2013Ray Chandler
26739475115151w51(46·103946+359)/9May 12, 2013Ray Chandler
268394243777437w(394·103940-7)/9May 12, 2013Ray Chandler
26939411991919w192·103940-81May 12, 2013Ray Chandler
2703937999719w71103937-29May 12, 2013Ray Chandler
27139354994949w495·103934-51May 12, 2013Ray Chandler
272393480333803w(241·103932-1)/3May 12, 2013Ray Chandler
27339333997939w794·103932-21May 12, 2013Ray Chandler
274393289111891w(802·103930-1)/9May 12, 2013Ray Chandler
275393118119181w9(163·103929+71)/9May 12, 2013Ray Chandler
2763930999619w61103930-39May 12, 2013Ray Chandler
2783922222632w63(2·103922+367)/9May 12, 2013Ray Chandler
27939188555385w3(77·103917-23)/9May 12, 2013Ray Chandler
28139159777197w1(88·103914-61)/9May 12, 2013Ray Chandler
2823913222672w67(2·103913+403)/9May 12, 2013Ray Chandler
283391045449454w9(409·103908+41)/9May 12, 2013Ray Chandler
284390693777937w(844·103904-7)/9May 12, 2013Ray Chandler
28539066779767w97(61·103905+173)/9May 12, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
180239997228772w87(65·103998+583)/9May 12, 2013Ray Chandler
180339992558925w89(23·103998+301)/9May 12, 2013Ray Chandler
180439966117361w73(55·103995+557)/9May 12, 2013Ray Chandler
18053995 37w33(34·103994-403)/9May 12, 2013Ray Chandler
180639949667396w73(29·103993+19)/3May 12, 2013Ray Chandler
180839946558165w81(59·103993+229)/9May 12, 2013Ray Chandler
180939945884958w49(53·103993-359)/9May 12, 2013Ray Chandler
181039944112941w29(37·103993+161)/9May 12, 2013Ray Chandler
181139939660196w01(29·103992-197)/3May 12, 2013Ray Chandler
181239933996139w614·103992-39May 12, 2013Ray Chandler
181339933220732w07(29·103992-137)/9May 12, 2013Ray Chandler
18143993 225w9(203·103991+31)/9May 12, 2013Ray Chandler
181539917006170w617·103990+61May 12, 2013Ray Chandler
181639912005720w572·103990+57May 12, 2013Ray Chandler
181739906005960w596·103989+59May 12, 2013Ray Chandler
181839894994349w435·103988-57May 12, 2013Ray Chandler
181939882665726w57(8·103987-29)/3May 12, 2013Ray Chandler
182039858553985w39(77·103984-149)/9May 12, 2013Ray Chandler
182139856449164w91(58·103984+419)/9May 12, 2013Ray Chandler
182239829882998w29(89·103981-539)/9May 12, 2013Ray Chandler
182339824886148w61(44·103981-251)/9May 12, 2013Ray Chandler
18243982 115w3(104·103980-23)/9May 12, 2013Ray Chandler
182639809112991w29(82·103979+161)/9May 12, 2013Ray Chandler
18273980 338w7(305·103978-17)/9May 12, 2013Ray Chandler
182939799770197w01(88·103978-691)/9May 12, 2013Ray Chandler
18323978 887w3(799·103976-43)/9May 12, 2013Ray Chandler
183339779559795w97(86·103976+373)/9May 12, 2013Ray Chandler
183439747008770w877·103973+87May 12, 2013Ray Chandler
18353974 65w99(59·103973+391)/9May 12, 2013Ray Chandler
183739741224112w41(11·103973+169)/9May 12, 2013Ray Chandler
183839733442134w21(31·103972-211)/9May 12, 2013Ray Chandler
184039692116921w69(19·103968+521)/9May 12, 2013Ray Chandler
184139687996379w638·103967-37May 12, 2013Ray Chandler
184339658227982w79(74·103964+511)/9May 12, 2013Ray Chandler
184439652667126w71(8·103964+13)/3May 12, 2013Ray Chandler
184539633115931w59(28·103962+431)/9May 12, 2013Ray Chandler
184639609883798w37(89·103959-467)/9May 12, 2013Ray Chandler
184839599334793w47(28·103958+41)/3May 12, 2013Ray Chandler
184939581995719w572·103957-43May 12, 2013Ray Chandler
185039563007130w713·103955+71May 12, 2013Ray Chandler
185139556776167w61(61·103954-151)/9May 12, 2013Ray Chandler
18553951 54w99(49·103950+491)/9May 12, 2013Ray Chandler
185739512775127w51(25·103950-241)/9May 12, 2013Ray Chandler
185839507445974w59(67·103949+131)/9May 12, 2013Ray Chandler
185939496446964w69(58·103948+221)/9May 12, 2013Ray Chandler
18613948 21w99(19·103947+791)/9May 12, 2013Ray Chandler
186239481661916w19(5·103947-143)/3May 12, 2013Ray Chandler
186339481225112w51(11·103947+259)/9May 12, 2013Ray Chandler
186439478557385w73(77·103946+157)/9May 12, 2013Ray Chandler
186539478005180w518·103946+51May 12, 2013Ray Chandler
186639453884938w49(35·103944-359)/9May 12, 2013Ray Chandler
186739385447954w79(49·103937+311)/9May 12, 2013Ray Chandler
186939355887958w79(53·103934-89)/9May 12, 2013Ray Chandler
187039355335753w57(16·103934+71)/3May 12, 2013Ray Chandler
187139346443164w31(58·103933-121)/9May 12, 2013Ray Chandler
187339338998189w819·103932-19May 12, 2013Ray Chandler
187439336440764w07(58·103932-337)/9May 12, 2013Ray Chandler
18753931 669w167·103929-9May 12, 2013Ray Chandler
187639315007150w715·103930+71May 12, 2013Ray Chandler
187739301773917w39(16·103929-349)/9May 12, 2013Ray Chandler
187839296557965w79(59·103928+211)/9May 12, 2013Ray Chandler
18793929 39w114·103928-89May 12, 2013Ray Chandler
188039292116321w63(19·103928+467)/9May 12, 2013Ray Chandler
188139286884168w41(62·103927-431)/9May 12, 2013Ray Chandler
188239279882998w29(89·103926-539)/9May 12, 2013Ray Chandler
188339246773167w31(61·103923-421)/9May 12, 2013Ray Chandler
188439245331753w17(16·103923-49)/3May 12, 2013Ray Chandler
188739172554925w49(23·103916-59)/9May 12, 2013Ray Chandler
188939155889358w93(53·103914+37)/9May 12, 2013Ray Chandler
189039151009310w93103914+93May 12, 2013Ray Chandler
189139149556395w63(86·103913+67)/9May 12, 2013Ray Chandler
189239148338983w89(25·103913+167)/3May 12, 2013Ray Chandler
18933914 665w1(599·103912-41)/9May 12, 2013Ray Chandler
189439132445924w59(22·103912+131)/9May 12, 2013Ray Chandler
18953913 10w99103912+99May 12, 2013Ray Chandler
189639105224952w49(47·103909+241)/9May 12, 2013Ray Chandler
189739095440354w03(49·103908-373)/9May 12, 2013Ray Chandler
189939083447134w71(31·103907+239)/9May 12, 2013Ray Chandler
190139074001940w194·103906+19May 12, 2013Ray Chandler
190239067118771w87(64·103905+683)/9May 12, 2013Ray Chandler
19033905 774w7(697·103903+23)/9May 12, 2013Ray Chandler
190439055005150w515·103904+51May 12, 2013Ray Chandler
19053905 117w9(106·103903+11)/9May 12, 2013Ray Chandler
190639032113921w39(19·103902+251)/9May 12, 2013Ray Chandler
190739023664736w47(11·103901-59)/3May 12, 2013Ray Chandler
190839013889338w93(35·103900+37)/9May 12, 2013Ray Chandler

May 11, 2013

Factorizations of 288...889 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

May 8, 2013

Factorizations of 288...887 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

May 5, 2013

Factorizations of 288...883 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

I found the 61st prime number of the form 13190078378725094213765678546·10n-1.

Prime numbers of the form k·10n-1 (including 45 known prime numbers at least)
 digitsflabelwlabelexpressionwhenwho
3268158 131900783787250942137656785459w13190078378725094213765678546·1068129-1May 5, 2013Makoto Kamada

May 2, 2013

Factorizations of 277...779 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

May 1, 2013

Erik Branger found 102 quasi-repdigit PRPs.

Unprovable quasi-repdigit PRPs (except pd)
 digitsflabelwlabelexpressionwhenwho
71498021333713w7(4·1049801+11)/3May 1, 2013Erik Branger
72496909888398w3(89·1049689-53)/9May 1, 2013Erik Branger
74495531222712w7(11·1049552+43)/9May 1, 2013Erik Branger
75495179888798w7(89·1049516-17)/9May 1, 2013Erik Branger
76492344555945w9(41·1049233+31)/9May 1, 2013Erik Branger
78491204666346w3(14·1049119-11)/3May 1, 2013Erik Branger
79491029888398w3(89·1049101-53)/9May 1, 2013Erik Branger
80487278666386w3(26·1048726-11)/3May 1, 2013Erik Branger
81485484333743w7(13·1048547+11)/3May 1, 2013Erik Branger
82484628111781w7(73·1048461+53)/9May 1, 2013Erik Branger
85479905444954w9(49·1047989+41)/9May 1, 2013Erik Branger
86477926444764w7(58·1047791+23)/9May 1, 2013Erik Branger
88472386333763w7(19·1047237+11)/3May 1, 2013Erik Branger
89471363444734w7(31·1047135+23)/9May 1, 2013Erik Branger
90470524777947w9(43·1047051+11)/9May 1, 2013Erik Branger
91468866111761w7(55·1046885+53)/9May 1, 2013Erik Branger
93466431444714w7(13·1046642+23)/9May 1, 2013Erik Branger
94464561666916w9(5·1046455+7)/3May 1, 2013Erik Branger
95463125777157w1(52·1046311-61)/9May 1, 2013Erik Branger
96459365666956w9(17·1045935+7)/3May 1, 2013Erik Branger
97454227444174w1(67·1045421-31)/9May 1, 2013Erik Branger
98453505777357w3(52·1045349-43)/9May 1, 2013Erik Branger
99452207222972w9(65·1045219+61)/9May 1, 2013Erik Branger
101448097444174w1(67·1044808-31)/9May 1, 2013Erik Branger
102446956555165w1(59·1044694-41)/9May 1, 2013Erik Branger
103434034888348w3(44·1043402-53)/9May 1, 2013Erik Branger
105433701333913w9(4·1043369+17)/3May 1, 2013Erik Branger
106433634333943w9(13·1043362+17)/3May 1, 2013Erik Branger
107433544333143w1(13·1043353-7)/3May 1, 2013Erik Branger
110431261555915w9(14·1043125+31)/9May 1, 2013Erik Branger
111430641222912w9(11·1043063+61)/9May 1, 2013Erik Branger
112430464222742w7(38·1043045+43)/9May 1, 2013Erik Branger
114424715777157w1(52·1042470-61)/9May 1, 2013Erik Branger
115424056333163w1(19·1042404-7)/3May 1, 2013Erik Branger
116423312444324w3(22·1042330-13)/9May 1, 2013Erik Branger
117423004666346w3(14·1042299-11)/3May 1, 2013Erik Branger
118422484333743w7(13·1042247+11)/3May 1, 2013Erik Branger
119420251222912w9(11·1042024+61)/9May 1, 2013Erik Branger
120419676444364w3(58·1041966-13)/9May 1, 2013Erik Branger
121417608222382w3(74·1041759+7)/9May 1, 2013Erik Branger
122417137444174w1(67·1041712-31)/9May 1, 2013Erik Branger
124415249555795w7(86·1041523+13)/9May 1, 2013Erik Branger
127405853222132w1(29·1040584-11)/9May 1, 2013Erik Branger
129401924111741w7(37·1040191+53)/9May 1, 2013Erik Branger
132401321555915w9(14·1040131+31)/9May 1, 2013Erik Branger
137395835444954w9(49·1039582+41)/9May 1, 2013Erik Branger
140391716444764w7(58·1039170+23)/9May 1, 2013Erik Branger
141388112444124w1(22·1038810-31)/9May 1, 2013Erik Branger
142387017333173w1(22·1038700-7)/3May 1, 2013Erik Branger
144385091666916w9(5·1038508+7)/3May 1, 2013Erik Branger
146383422444924w9(22·1038341+41)/9May 1, 2013Erik Branger
148382363777937w9(34·1038235+11)/9May 1, 2013Erik Branger
149382003555735w7(32·1038199+13)/9May 1, 2013Erik Branger
153379583777137w1(34·1037957-61)/9May 1, 2013Erik Branger
154379533666736w7(11·1037952+1)/3May 1, 2013Erik Branger
157374062444324w3(22·1037405-13)/9May 1, 2013Erik Branger
158374035111951w9(46·1037402+71)/9May 1, 2013Erik Branger
159373797444974w9(67·1037378+41)/9May 1, 2013Erik Branger
161371819666796w7(29·1037180+1)/3May 1, 2013Erik Branger
163368751555915w9(14·1036874+31)/9May 1, 2013Erik Branger
164367928222382w3(74·1036791+7)/9May 1, 2013Erik Branger
165366474111741w7(37·1036646+53)/9May 1, 2013Erik Branger
166366168222182w1(74·1036615-11)/9May 1, 2013Erik Branger
167365561555915w9(14·1036555+31)/9May 1, 2013Erik Branger
169364495444954w9(49·1036448+41)/9May 1, 2013Erik Branger
170362375222752w7(47·1036236+43)/9May 1, 2013Erik Branger
173358487666376w3(23·1035847-11)/3May 1, 2013Erik Branger
174356268333983w9(25·1035625+17)/3May 1, 2013Erik Branger
176353938666386w3(26·1035392-11)/3May 1, 2013Erik Branger
178351622444324w3(22·1035161-13)/9May 1, 2013Erik Branger
179350376444364w3(58·1035036-13)/9May 1, 2013Erik Branger
182348628666386w3(26·1034861-11)/3May 1, 2013Erik Branger
185345388777987w9(79·1034537+11)/9May 1, 2013Erik Branger
190343085666356w3(17·1034307-11)/3May 1, 2013Erik Branger
192335561666716w7(5·1033555+1)/3May 1, 2013Erik Branger
193333247666376w3(23·1033323-11)/3May 1, 2013Erik Branger
194330555666356w3(17·1033054-11)/3May 1, 2013Erik Branger
197327171555715w7(14·1032716+13)/9May 1, 2013Erik Branger
198327076888768w7(62·1032706-17)/9May 1, 2013Erik Branger
199326055777157w1(52·1032604-61)/9May 1, 2013Erik Branger
200325453666136w1(11·1032544-17)/3May 1, 2013Erik Branger
201325162777927w9(25·1032515+11)/9May 1, 2013Erik Branger
202325093222932w9(29·1032508+61)/9May 1, 2013Erik Branger
203323826444764w7(58·1032381+23)/9May 1, 2013Erik Branger
206321907333173w1(22·1032189-7)/3May 1, 2013Erik Branger
207320776333763w7(19·1032076+11)/3May 1, 2013Erik Branger
209319554222342w3(38·1031954+7)/9May 1, 2013Erik Branger
211318348444784w7(76·1031833+23)/9May 1, 2013Erik Branger
213317112888728w7(26·1031710-17)/9May 1, 2013Erik Branger
214316531777917w9(16·1031652+11)/9May 1, 2013Erik Branger
215315758666386w3(26·1031574-11)/3May 1, 2013Erik Branger
216314516555165w1(59·1031450-41)/9May 1, 2013Erik Branger
218314412666926w9(8·1031440+7)/3May 1, 2013Erik Branger
219313634666346w3(14·1031362-11)/3May 1, 2013Erik Branger
220313204222142w1(38·1031319-11)/9May 1, 2013Erik Branger
221312984111341w3(37·1031297+17)/9May 1, 2013Erik Branger
224305465222752w7(47·1030545+43)/9May 1, 2013Erik Branger
225304533666736w7(11·1030452+1)/3May 1, 2013Erik Branger
226303545222752w7(47·1030353+43)/9May 1, 2013Erik Branger
227302678222382w3(74·1030266+7)/9May 1, 2013Erik Branger
230300519444794w7(85·1030050+23)/9May 1, 2013Erik Branger
231300435888758w7(53·1030042-17)/9May 1, 2013Erik Branger

April 2013

April 29, 2013

Factorizations of 277...773 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

April 27, 2013

Ray Chandler certificated 7 near-repdigit prime numbers, 33 quasi-repdigit prime numbers and 67 near-repdigit-related prime numbers by Primo. Certifications are available.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
4363891772777w27w(7·103891-45·101945-7)/9April 27, 2013Ray Chandler
438388917111171w(154·103887-1)/9April 27, 2013Ray Chandler
4393882888838w3(8·103882-53)/9April 27, 2013Ray Chandler
4403877888818w1(8·103877-71)/9April 27, 2013Ray Chandler
4413857 9w299103857-701April 27, 2013Ray Chandler
4433808 9w899103808-101April 27, 2013Ray Chandler
4453806222232w3(2·103806+7)/9April 27, 2013Ray Chandler
Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
25138994771747w17(43·103898-547)/9April 27, 2013Ray Chandler
25238967994979w498·103895-51April 27, 2013Ray Chandler
2533890444614w61(4·103890+149)/9April 27, 2013Ray Chandler
25438884111941w9(37·103887+71)/9April 27, 2013Ray Chandler
25538855998959w896·103884-11April 27, 2013Ray Chandler
25838825336353w63(16·103881+89)/3April 27, 2013Ray Chandler
25938819666796w7(29·103880+1)/3April 27, 2013Ray Chandler
260388095333953w(286·103878-1)/3April 27, 2013Ray Chandler
26138796776767w67(61·103878-97)/9April 27, 2013Ray Chandler
26238773444934w9(31·103876+41)/9April 27, 2013Ray Chandler
26338762996929w693·103875-31April 27, 2013Ray Chandler
264387597333973w(292·103873-1)/3April 27, 2013Ray Chandler
26538755666356w3(17·103874-11)/3April 27, 2013Ray Chandler
266387541449414w9(373·103873+41)/9April 27, 2013Ray Chandler
267387246441464w1(418·103870-31)/9April 27, 2013Ray Chandler
26838724222742w7(38·103871+43)/9April 27, 2013Ray Chandler
269386485889858w9(773·103862+1)/9April 27, 2013Ray Chandler
2703860999719w71103860-29April 27, 2013Ray Chandler
271386080777807w(727·103858-7)/9April 27, 2013Ray Chandler
2723856333013w01(103856-97)/3April 27, 2013Ray Chandler
273385042111421w(379·103848-1)/9April 27, 2013Ray Chandler
2743848555715w71(5·103848+139)/9April 27, 2013Ray Chandler
275384682889828w9(746·103844+1)/9April 27, 2013Ray Chandler
276383956333563w(169·103837-1)/3April 27, 2013Ray Chandler
2773836444974w97(4·103836+473)/9April 27, 2013Ray Chandler
27838266444364w3(58·103825-13)/9April 27, 2013Ray Chandler
27938237666376w3(23·103822-11)/3April 27, 2013Ray Chandler
280382130337303w7(91·103819+11)/3April 27, 2013Ray Chandler
2813821222072w07(2·103821-137)/9April 27, 2013Ray Chandler
28238191777317w3(16·103818-43)/9April 27, 2013Ray Chandler
283381686333863w(259·103814-1)/3April 27, 2013Ray Chandler
285380992111921w(829·103807-1)/9April 27, 2013Ray Chandler
2863800555735w73(5·103800+157)/9April 27, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
18223899 53w77(16·103898+131)/3April 27, 2013Ray Chandler
182438987992179w218·103897-79April 27, 2013Ray Chandler
182538981663716w37(5·103897-89)/3April 27, 2013Ray Chandler
182638971669316w93(5·103896+79)/3April 27, 2013Ray Chandler
18273894 660w766·103892+7April 27, 2013Ray Chandler
18283893 69w117·103892-89April 27, 2013Ray Chandler
183338894880148w01(44·103888-791)/9April 27, 2013Ray Chandler
18343889 47w33(43·103888-403)/9April 27, 2013Ray Chandler
183738847661976w19(23·103883-143)/3April 27, 2013Ray Chandler
183838833774337w43(34·103882-313)/9April 27, 2013Ray Chandler
183938821996319w632·103881-37April 27, 2013Ray Chandler
184138811772917w29(16·103880-439)/9April 27, 2013Ray Chandler
184238799886798w67(89·103878-197)/9April 27, 2013Ray Chandler
18433879 75w33(68·103878-203)/9April 27, 2013Ray Chandler
184438794996349w635·103878-37April 27, 2013Ray Chandler
184538789885198w51(89·103877-341)/9April 27, 2013Ray Chandler
184638782881928w19(26·103877-629)/9April 27, 2013Ray Chandler
184838749661796w17(29·103873-149)/3April 27, 2013Ray Chandler
184938736334163w41(19·103872+23)/3April 27, 2013Ray Chandler
185138714885948w59(44·103870-269)/9April 27, 2013Ray Chandler
185238711009310w93103870+93April 27, 2013Ray Chandler
185338698557385w73(77·103868+157)/9April 27, 2013Ray Chandler
185638664332143w21(13·103865-37)/3April 27, 2013Ray Chandler
185838642550925w09(23·103863-419)/9April 27, 2013Ray Chandler
185938633447134w71(31·103862+239)/9April 27, 2013Ray Chandler
186038602005120w512·103859+51April 27, 2013Ray Chandler
186238601442914w29(13·103859-139)/9April 27, 2013Ray Chandler
186338585449354w93(49·103857+437)/9April 27, 2013Ray Chandler
186438577007970w797·103856+79April 27, 2013Ray Chandler
186638569229392w93(83·103855+637)/9April 27, 2013Ray Chandler
18673856 449w345·103854-7April 27, 2013Ray Chandler
186838563558735w87(32·103855+283)/9April 27, 2013Ray Chandler
18693855 30w113·103854+11April 27, 2013Ray Chandler
18703854 60w116·103853+11April 27, 2013Ray Chandler
187138534002740w274·103852+27April 27, 2013Ray Chandler
187338515775157w51(52·103850-241)/9April 27, 2013Ray Chandler
187638504224742w47(38·103849+223)/9April 27, 2013Ray Chandler
187738494554945w49(41·103848-59)/9April 27, 2013Ray Chandler
187838494009140w914·103848+91April 27, 2013Ray Chandler
187938492885128w51(26·103848-341)/9April 27, 2013Ray Chandler
188038489008390w839·103847+83April 27, 2013Ray Chandler
188238464661946w19(14·103845-143)/3April 27, 2013Ray Chandler
188338443556935w69(32·103843+121)/9April 27, 2013Ray Chandler
188438438442184w21(76·103842-211)/9April 27, 2013Ray Chandler
188538434223142w31(38·103842+79)/9April 27, 2013Ray Chandler
188738395995359w536·103838-47April 27, 2013Ray Chandler
18893839 220w722·103837+7April 27, 2013Ray Chandler
18903838 97w99(88·103837+191)/9April 27, 2013Ray Chandler
189138376116761w67(55·103836+503)/9April 27, 2013Ray Chandler
189338351770317w03(16·103834-673)/9April 27, 2013Ray Chandler
189438334339743w97(13·103832+191)/3April 27, 2013Ray Chandler
189538318992389w239·103830-77April 27, 2013Ray Chandler
18963829 445w3(401·103827-23)/9April 27, 2013Ray Chandler
19003825 95w11(86·103824-401)/9April 27, 2013Ray Chandler
190138253001330w133·103824+13April 27, 2013Ray Chandler
190538197665176w51(23·103818-47)/3April 27, 2013Ray Chandler
19063819 74w99(67·103818+491)/9April 27, 2013Ray Chandler
19073819 665w1(599·103817-41)/9April 27, 2013Ray Chandler
190938165229352w93(47·103815+637)/9April 27, 2013Ray Chandler
191038156994169w417·103814-59April 27, 2013Ray Chandler
191138154552745w27(41·103814-257)/9April 27, 2013Ray Chandler
191338096557965w79(59·103808+211)/9April 27, 2013Ray Chandler
191438083996739w674·103807-33April 27, 2013Ray Chandler
19153805 89w339·103804-67April 27, 2013Ray Chandler
19163805 71w77(64·103804+593)/9April 27, 2013Ray Chandler
191838023663736w37(11·103801-89)/3April 27, 2013Ray Chandler
19193801 85w77(77·103800+193)/9April 27, 2013Ray Chandler

April 26, 2013

Factorizations of 277...771 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

April 23, 2013

Factorizations of 266...663 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

April 20, 2013

Factorizations of 255...559 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

April 17, 2013

Factorizations of 255...551 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

April 15, 2013

Ray Chandler certificated 4 near-repdigit prime numbers, 40 quasi-repdigit prime numbers and 80 near-repdigit-related prime numbers by Primo. Certifications are available.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
437379934333343w(103·103797-1)/3April 15, 2013Ray Chandler
43837898111181w(73·103788-1)/9April 15, 2013Ray Chandler
4393783333833w83(103783+149)/3April 15, 2013Ray Chandler
4403761222232w3(2·103761+7)/9April 15, 2013Ray Chandler
Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
254379953551535w1(482·103797-41)/9April 15, 2013Ray Chandler
2553798888638w63(8·103798-233)/9April 15, 2013Ray Chandler
2563791 447w(403·103789-7)/9April 15, 2013Ray Chandler
25737909110191w01(82·103789-91)/9April 15, 2013Ray Chandler
25837875444954w9(49·103786+41)/9April 15, 2013Ray Chandler
260378550551505w1(455·103783-41)/9April 15, 2013Ray Chandler
26337817337373w73(22·103780+119)/3April 15, 2013Ray Chandler
2643780555095w09(5·103780-419)/9April 15, 2013Ray Chandler
26537736115161w51(55·103772+359)/9April 15, 2013Ray Chandler
266377035339353w9(106·103768+17)/3April 15, 2013Ray Chandler
26737684331343w13(13·103767-61)/3April 15, 2013Ray Chandler
26837672775727w57(25·103766-187)/9April 15, 2013Ray Chandler
2693765111791w79(103765+611)/9April 15, 2013Ray Chandler
27137633666736w7(11·103762+1)/3April 15, 2013Ray Chandler
2723761555075w07(5·103761-437)/9April 15, 2013Ray Chandler
2743755777197w19(7·103755-529)/9April 15, 2013Ray Chandler
27537545990959w096·103753-91April 15, 2013Ray Chandler
27637489776797w67(88·103747-97)/9April 15, 2013Ray Chandler
27737479444794w7(85·103746+23)/9April 15, 2013Ray Chandler
2783744777137w13(7·103744-583)/9April 15, 2013Ray Chandler
28037416995969w597·103740-41April 15, 2013Ray Chandler
2813739999379w37103739-63April 15, 2013Ray Chandler
282373861663616w3(185·103736-11)/3April 15, 2013Ray Chandler
283373543777437w(394·103733-7)/9April 15, 2013Ray Chandler
28437312888328w3(26·103730-53)/9April 15, 2013Ray Chandler
285373095777957w(862·103728-7)/9April 15, 2013Ray Chandler
286373080889808w9(728·103728+1)/9April 15, 2013Ray Chandler
28837282111921w9(19·103727+71)/9April 15, 2013Ray Chandler
28937268222382w3(74·103725+7)/9April 15, 2013Ray Chandler
29037225332353w23(16·103721-31)/3April 15, 2013Ray Chandler
29137211888318w3(17·103720-53)/9April 15, 2013Ray Chandler
29237184222342w3(38·103717+7)/9April 15, 2013Ray Chandler
29337164999149w15·103715-9April 15, 2013Ray Chandler
29437162996929w693·103715-31April 15, 2013Ray Chandler
29537148999389w39·103713-7April 15, 2013Ray Chandler
29637146114161w41(55·103713+269)/9April 15, 2013Ray Chandler
2973710999719w71103710-29April 15, 2013Ray Chandler
2983710222312w31(2·103710+79)/9April 15, 2013Ray Chandler
299370948449484w9(436·103707+41)/9April 15, 2013Ray Chandler
300370454559545w9(491·103702+31)/9April 15, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
184637998997189w719·103798-29April 15, 2013Ray Chandler
18473799 35w11(32·103798-401)/9April 15, 2013Ray Chandler
18483799 17w99(16·103798+191)/9April 15, 2013Ray Chandler
184937979559795w97(86·103796+373)/9April 15, 2013Ray Chandler
185037975778157w81(52·103796+29)/9April 15, 2013Ray Chandler
18513795 52w99(47·103794+691)/9April 15, 2013Ray Chandler
185337949228792w87(83·103793+583)/9April 15, 2013Ray Chandler
185537941557115w71(14·103793+139)/9April 15, 2013Ray Chandler
185737925668156w81(17·103791+43)/3April 15, 2013Ray Chandler
185837895449354w93(49·103788+437)/9April 15, 2013Ray Chandler
185937892668926w89(8·103788+67)/3April 15, 2013Ray Chandler
18643784 65w11(59·103783-401)/9April 15, 2013Ray Chandler
18653784 57w11(52·103783-601)/9April 15, 2013Ray Chandler
186637839224192w41(83·103782+169)/9April 15, 2013Ray Chandler
18683782 86w33(26·103781-101)/3April 15, 2013Ray Chandler
187337806119761w97(55·103779+773)/9April 15, 2013Ray Chandler
18743780 39w774·103779-23April 15, 2013Ray Chandler
187537786336763w67(19·103777+101)/3April 15, 2013Ray Chandler
187637781998719w872·103777-13April 15, 2013Ray Chandler
187837758008180w818·103774+81April 15, 2013Ray Chandler
187937756001360w136·103774+13April 15, 2013Ray Chandler
188037753007330w733·103774+73April 15, 2013Ray Chandler
188137741882718w27(17·103773-557)/9April 15, 2013Ray Chandler
188237741443714w37(13·103773-67)/9April 15, 2013Ray Chandler
188337718552385w23(77·103770-293)/9April 15, 2013Ray Chandler
188437716776167w61(61·103770-151)/9April 15, 2013Ray Chandler
18853771 51w99(46·103770+791)/9April 15, 2013Ray Chandler
188637687556775w67(68·103767+103)/9April 15, 2013Ray Chandler
18883767 112w7(101·103765+43)/9April 15, 2013Ray Chandler
188937659667196w71(29·103764+13)/3April 15, 2013Ray Chandler
18923761 67w33(61·103760-403)/9April 15, 2013Ray Chandler
189437601772317w23(16·103759-493)/9April 15, 2013Ray Chandler
18973758 220w722·103756+7April 15, 2013Ray Chandler
189837582002320w232·103757+23April 15, 2013Ray Chandler
189937558117381w73(73·103754+557)/9April 15, 2013Ray Chandler
19013751 93w77(28·103750+131)/3April 15, 2013Ray Chandler
190237505119351w93(46·103749+737)/9April 15, 2013Ray Chandler
190337498443784w37(76·103748-67)/9April 15, 2013Ray Chandler
190537479559795w97(86·103746+373)/9April 15, 2013Ray Chandler
190637472009320w932·103746+93April 15, 2013Ray Chandler
191037417004370w437·103740+43April 15, 2013Ray Chandler
191137409778397w83(88·103739+47)/9April 15, 2013Ray Chandler
191237384559745w97(41·103737+373)/9April 15, 2013Ray Chandler
191337384117941w79(37·103737+611)/9April 15, 2013Ray Chandler
19143738 332w1(299·103736-11)/9April 15, 2013Ray Chandler
191537375884758w47(53·103736-377)/9April 15, 2013Ray Chandler
191637367882978w29(71·103735-539)/9April 15, 2013Ray Chandler
191737354338743w87(13·103734+161)/3April 15, 2013Ray Chandler
191837349115991w59(82·103733+431)/9April 15, 2013Ray Chandler
192037326224362w43(56·103731+187)/9April 15, 2013Ray Chandler
19213732 229w123·103730-9April 15, 2013Ray Chandler
19223731 554w1(499·103729-31)/9April 15, 2013Ray Chandler
192437311886918w69(17·103730-179)/9April 15, 2013Ray Chandler
192537309776197w61(88·103729-151)/9April 15, 2013Ray Chandler
192637305115351w53(46·103729+377)/9April 15, 2013Ray Chandler
192737298110981w09(73·103728-19)/9April 15, 2013Ray Chandler
19283728 75w77(68·103727+193)/9April 15, 2013Ray Chandler
192937286008960w896·103727+89April 15, 2013Ray Chandler
193037279776397w63(88·103726-133)/9April 15, 2013Ray Chandler
193137279229392w93(83·103726+637)/9April 15, 2013Ray Chandler
193237277445774w57(67·103726+113)/9April 15, 2013Ray Chandler
193337272334123w41(7·103726+23)/3April 15, 2013Ray Chandler
193437271661916w19(5·103726-143)/3April 15, 2013Ray Chandler
193537269665396w53(29·103725-41)/3April 15, 2013Ray Chandler
193737261225712w57(11·103725+313)/9April 15, 2013Ray Chandler
193837254994349w435·103724-57April 15, 2013Ray Chandler
194037242553125w31(23·103723-221)/9April 15, 2013Ray Chandler
194137236884168w41(62·103722-431)/9April 15, 2013Ray Chandler
19433722 886w1(266·103720-17)/3April 15, 2013Ray Chandler
194437217225372w53(65·103720+277)/9April 15, 2013Ray Chandler
19463720 47w33(43·103719-403)/9April 15, 2013Ray Chandler
194737198552985w29(77·103718-239)/9April 15, 2013Ray Chandler
19483717 94w77(85·103716+293)/9April 15, 2013Ray Chandler
194937175992159w216·103716-79April 15, 2013Ray Chandler
195037173223732w37(29·103716+133)/9April 15, 2013Ray Chandler
195137165446154w61(49·103715+149)/9April 15, 2013Ray Chandler
195337133005330w533·103712+53April 15, 2013Ray Chandler
19543711 80w778·103710+77April 15, 2013Ray Chandler
195837085338153w81(16·103707+143)/3April 15, 2013Ray Chandler
196137062665926w59(8·103705-23)/3April 15, 2013Ray Chandler

April 13, 2013

Factorizations of 688...883 and Factorizations of 699...997 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

I found the 60th prime number of the form 13190078378725094213765678546·10n-1.

Prime numbers of the form k·10n-1 (including 45 known prime numbers at least)
 digitsflabelwlabelexpressionwhenwho
3954299 131900783787250942137656785459w13190078378725094213765678546·1054270-1April 13, 2013Makoto Kamada

April 10, 2013

Factorizations of 244...447 and Factorizations of 244...449 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

April 7, 2013

Stefano D'Urso found the 10th largest known near-repdigit prime number. Congratulations!

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
10331945 99999929w9999993·10331938-1April 7, 2013Stefano D'Urso

Factorizations of 244...443 and Factorizations of 677...773 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

April 3, 2013

Factorizations of 355...553 and Factorizations of 377...773 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

March 2013

March 31, 2013

Factorizations of 244...441 and Factorizations of 655...557 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

Ray Chandler certificated 5 near-repdigit prime numbers, 27 quasi-repdigit prime numbers and 79 near-repdigit-related prime numbers by Primo. Certifications are available.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
436369437333373w(112·103692-1)/3March 31, 2013Ray Chandler
4423645 9w5999999999103645-4000000001March 31, 2013Ray Chandler
4433642333373w7(103642+11)/3March 31, 2013Ray Chandler
4463610777477w47(7·103610-277)/9March 31, 2013Ray Chandler
447360831333313w(94·103606-1)/3March 31, 2013Ray Chandler
Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
25936989222792w7(83·103697+43)/9March 31, 2013Ray Chandler
26036979444394w3(85·103696-13)/9March 31, 2013Ray Chandler
261369519333193w(58·103693-1)/3March 31, 2013Ray Chandler
262369472779727w9(655·103692+11)/9March 31, 2013Ray Chandler
26336839338393w83(28·103682+149)/3March 31, 2013Ray Chandler
26436839333793w7(28·103682+11)/3March 31, 2013Ray Chandler
2653682999379w37103682-63March 31, 2013Ray Chandler
266368280889808w9(728·103680+1)/9March 31, 2013Ray Chandler
267368171773717w3(646·103679-43)/9March 31, 2013Ray Chandler
2683671999179w17103671-83March 31, 2013Ray Chandler
269367020777207w(187·103668-7)/9March 31, 2013Ray Chandler
270366927227272w7(245·103667+43)/9March 31, 2013Ray Chandler
271366846333463w(139·103666-1)/3March 31, 2013Ray Chandler
2723667444634w63(4·103667+167)/9March 31, 2013Ray Chandler
27336665996959w696·103665-31March 31, 2013Ray Chandler
274366625227252w7(227·103664+43)/9March 31, 2013Ray Chandler
27536505110151w01(46·103649-91)/9March 31, 2013Ray Chandler
277364896777967w(871·103646-7)/9March 31, 2013Ray Chandler
27836423114131w41(28·103641+269)/9March 31, 2013Ray Chandler
27936408117181w71(73·103639+539)/9March 31, 2013Ray Chandler
2813624222692w69(2·103624+421)/9March 31, 2013Ray Chandler
2823620555715w71(5·103620+139)/9March 31, 2013Ray Chandler
2833618999379w37103618-63March 31, 2013Ray Chandler
28436167999179w18·103615-9March 31, 2013Ray Chandler
28536166115161w51(55·103615+359)/9March 31, 2013Ray Chandler
28736107222972w9(65·103609+61)/9March 31, 2013Ray Chandler
289360669111691w(622·103604-1)/9March 31, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
18803698 667w3(601·103696-43)/9March 31, 2013Ray Chandler
188136978553185w31(77·103696-221)/9March 31, 2013Ray Chandler
18823697 80w118·103696+11March 31, 2013Ray Chandler
188336963554935w49(32·103695-59)/9March 31, 2013Ray Chandler
188436953880938w09(35·103694-719)/9March 31, 2013Ray Chandler
188536951006710w67103694+67March 31, 2013Ray Chandler
188636939662996w29(29·103692-113)/3March 31, 2013Ray Chandler
188836922991729w173·103691-83March 31, 2013Ray Chandler
188936921991319w132·103691-87March 31, 2013Ray Chandler
189136903991339w134·103689-87March 31, 2013Ray Chandler
189236902668926w89(8·103689+67)/3March 31, 2013Ray Chandler
189336899551995w19(86·103688-329)/9March 31, 2013Ray Chandler
189436897881778w17(71·103688-647)/9March 31, 2013Ray Chandler
189536893886938w69(35·103688-179)/9March 31, 2013Ray Chandler
189836878009380w938·103686+93March 31, 2013Ray Chandler
189936877110971w09(64·103686-19)/9March 31, 2013Ray Chandler
19003687 50w995·103686+99March 31, 2013Ray Chandler
19013686 551w7(496·103684+53)/9March 31, 2013Ray Chandler
190236862008720w872·103685+87March 31, 2013Ray Chandler
190336855005950w595·103684+59March 31, 2013Ray Chandler
190436838445184w51(76·103682+59)/9March 31, 2013Ray Chandler
19053683 14w77(13·103682+293)/9March 31, 2013Ray Chandler
190936783889738w97(35·103677+73)/9March 31, 2013Ray Chandler
191136744002740w274·103673+27March 31, 2013Ray Chandler
191336713997139w714·103670-29March 31, 2013Ray Chandler
191436706226962w69(56·103669+421)/9March 31, 2013Ray Chandler
191536697446174w61(67·103668+149)/9March 31, 2013Ray Chandler
191636692332723w27(7·103668-19)/3March 31, 2013Ray Chandler
191736689778197w81(88·103667+29)/9March 31, 2013Ray Chandler
191836686556365w63(59·103667+67)/9March 31, 2013Ray Chandler
191936683662936w29(11·103667-113)/3March 31, 2013Ray Chandler
192036666551765w17(59·103665-347)/9March 31, 2013Ray Chandler
192136637002770w277·103662+27March 31, 2013Ray Chandler
192236635779357w93(52·103662+137)/9March 31, 2013Ray Chandler
192336621558715w87(14·103661+283)/9March 31, 2013Ray Chandler
19243661 42w77(38·103660+493)/9March 31, 2013Ray Chandler
192536606224962w49(56·103659+241)/9March 31, 2013Ray Chandler
192636595447954w79(49·103658+311)/9March 31, 2013Ray Chandler
19273659 31w33(28·103658+197)/9March 31, 2013Ray Chandler
192836587119371w93(64·103657+737)/9March 31, 2013Ray Chandler
192936584889148w91(44·103657+19)/9March 31, 2013Ray Chandler
193136566221362w13(56·103655-83)/9March 31, 2013Ray Chandler
193236563220732w07(29·103655-137)/9March 31, 2013Ray Chandler
193336556553965w39(59·103654-149)/9March 31, 2013Ray Chandler
193436553662336w23(11·103654-131)/3March 31, 2013Ray Chandler
19353653 75w11(68·103652-401)/9March 31, 2013Ray Chandler
19363652 62w77(56·103651+493)/9March 31, 2013Ray Chandler
193736515880358w03(53·103650-773)/9March 31, 2013Ray Chandler
19383649 885w1(797·103647-41)/9March 31, 2013Ray Chandler
193936487330173w01(22·103647-97)/3March 31, 2013Ray Chandler
194036481880718w07(17·103647-737)/9March 31, 2013Ray Chandler
19423646 14w99(13·103645+491)/9March 31, 2013Ray Chandler
194436456339163w91(19·103644+173)/3March 31, 2013Ray Chandler
19463644 334w9(301·103642+41)/9March 31, 2013Ray Chandler
194736438770187w01(79·103642-691)/9March 31, 2013Ray Chandler
194836429554395w43(86·103641-113)/9March 31, 2013Ray Chandler
195136409554795w47(86·103639-77)/9March 31, 2013Ray Chandler
195236357882378w23(71·103634-593)/9March 31, 2013Ray Chandler
195336339002990w299·103632+29March 31, 2013Ray Chandler
195636306443164w31(58·103629-121)/9March 31, 2013Ray Chandler
195736299339193w91(28·103628+173)/3March 31, 2013Ray Chandler
195836283446734w67(31·103627+203)/9March 31, 2013Ray Chandler
19603627 883w1(265·103625-7)/3March 31, 2013Ray Chandler
19613627 29w333·103626-67March 31, 2013Ray Chandler
19623627 224w3(202·103625-13)/9March 31, 2013Ray Chandler
196336266224362w43(56·103625+187)/9March 31, 2013Ray Chandler
196836238227982w79(74·103622+511)/9March 31, 2013Ray Chandler
196936229112791w27(82·103621+143)/9March 31, 2013Ray Chandler
197136211448114w81(13·103620+329)/9March 31, 2013Ray Chandler
197536166442164w21(58·103615-211)/9March 31, 2013Ray Chandler
197736144669146w91(14·103613+73)/3March 31, 2013Ray Chandler
197836118002780w278·103610+27March 31, 2013Ray Chandler
197936096226162w61(56·103608+349)/9March 31, 2013Ray Chandler
19803609 25w11(23·103608-401)/9March 31, 2013Ray Chandler
198336068338783w87(25·103605+161)/3March 31, 2013Ray Chandler
198436059330793w07(28·103604-79)/3March 31, 2013Ray Chandler
198536046440764w07(58·103603-337)/9March 31, 2013Ray Chandler
198636031007910w79103602+79March 31, 2013Ray Chandler
198736019883998w39(89·103600-449)/9March 31, 2013Ray Chandler

March 30, 2013

matsui factored the quasi-repdigit number 9·10229-7 into two prime factors. c231 = P113 · P119. P113 is the largest prime factor in our tables so far. Congratulations!

March 28, 2013

Factorizations of 211...119 and Factorizations of 22...229 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

March 25, 2013

Factorizations of 188...889 and Factorizations of 199...993 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

March 22, 2013

Factorizations of 188...881 and Factorizations of 611...11 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

Ray Chandler certificated 6 near-repdigit prime numbers, 31 quasi-repdigit prime numbers and 93 near-repdigit-related prime numbers by Primo. Certifications are available.

Proven near-repdigit primes
4433598 9w59999999999103598-40000000001March 22, 2013Ray Chandler
4463591 9w49999103591-50001March 22, 2013Ray Chandler
4483548 9w599999103548-400001March 22, 2013Ray Chandler
4503543 9w19999999103543-80000001March 22, 2013Ray Chandler
4513536 9w199999999103536-800000001March 22, 2013Ray Chandler
4543502 9w89999999999103502-10000000001March 22, 2013Ray Chandler
Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
263359931777317w(286·103597-7)/9March 22, 2013Ray Chandler
2643599222912w91(2·103599+619)/9March 22, 2013Ray Chandler
2653597444634w63(4·103597+167)/9March 22, 2013Ray Chandler
26635948555985w9(77·103593+31)/9March 22, 2013Ray Chandler
26735945999359w36·103593-7March 22, 2013Ray Chandler
2683592999739w73103592-27March 22, 2013Ray Chandler
2693588222832w83(2·103588+547)/9March 22, 2013Ray Chandler
271358489777897w(808·103582-7)/9March 22, 2013Ray Chandler
272358287887878w7(791·103580-17)/9March 22, 2013Ray Chandler
27335824333943w9(13·103581+17)/3March 22, 2013Ray Chandler
27435822993929w393·103581-61March 22, 2013Ray Chandler
27535817996979w698·103580-31March 22, 2013Ray Chandler
2763577666376w37(2·103577-89)/3March 22, 2013Ray Chandler
27735718995989w599·103570-41March 22, 2013Ray Chandler
27935698770787w07(79·103568-637)/9March 22, 2013Ray Chandler
28035687666976w9(23·103567+7)/3March 22, 2013Ray Chandler
28135686773767w37(61·103567-367)/9March 22, 2013Ray Chandler
28235606994969w497·103559-51March 22, 2013Ray Chandler
2833556222872w87(2·103556+583)/9March 22, 2013Ray Chandler
28435424888348w3(44·103541-53)/9March 22, 2013Ray Chandler
28535392444324w3(22·103538-13)/9March 22, 2013Ray Chandler
28635378555385w3(77·103536-23)/9March 22, 2013Ray Chandler
28735339332393w23(28·103532-31)/3March 22, 2013Ray Chandler
28835272998929w893·103526-11March 22, 2013Ray Chandler
28935242111321w3(19·103523+17)/9March 22, 2013Ray Chandler
291351745777457w(412·103515-7)/9March 22, 2013Ray Chandler
2933516111431w43(103516+287)/9March 22, 2013Ray Chandler
294351467667676w7(203·103512+1)/3March 22, 2013Ray Chandler
29535136444364w3(58·103512-13)/9March 22, 2013Ray Chandler
29735055444954w9(49·103504+41)/9March 22, 2013Ray Chandler
2983503666436w43(2·103503-71)/3March 22, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
191035989663796w37(29·103597-89)/3March 22, 2013Ray Chandler
191135947224372w43(65·103593+187)/9March 22, 2013Ray Chandler
191535911557915w79(14·103590+211)/9March 22, 2013Ray Chandler
191635888002180w218·103587+21March 22, 2013Ray Chandler
191735862665926w59(8·103585-23)/3March 22, 2013Ray Chandler
192035846007160w716·103583+71March 22, 2013Ray Chandler
192235835668156w81(17·103582+43)/3March 22, 2013Ray Chandler
192335828662786w27(26·103581-119)/3March 22, 2013Ray Chandler
192435823114931w49(28·103581+341)/9March 22, 2013Ray Chandler
192535808220182w01(74·103579-191)/9March 22, 2013Ray Chandler
19273579 221w3(199·103577+17)/9March 22, 2013Ray Chandler
192835785335153w51(16·103577+53)/3March 22, 2013Ray Chandler
192935779668996w89(29·103576+67)/3March 22, 2013Ray Chandler
193035774554145w41(41·103576-131)/9March 22, 2013Ray Chandler
193135771668116w81(5·103576+43)/3March 22, 2013Ray Chandler
193235769442394w23(85·103575-193)/9March 22, 2013Ray Chandler
193435753996139w614·103574-39March 22, 2013Ray Chandler
193735724664946w49(14·103571-53)/3March 22, 2013Ray Chandler
193835719447394w73(85·103570+257)/9March 22, 2013Ray Chandler
193935717661976w19(23·103570-143)/3March 22, 2013Ray Chandler
19413571 23w11(7·103570-67)/3March 22, 2013Ray Chandler
194235706884368w43(62·103569-413)/9March 22, 2013Ray Chandler
194335695335153w51(16·103568+53)/3March 22, 2013Ray Chandler
19463568 886w7(266·103566+1)/3March 22, 2013Ray Chandler
19473568 110w911·103566+9March 22, 2013Ray Chandler
194835679551995w19(86·103566-329)/9March 22, 2013Ray Chandler
19503566 991w9(892·103564+71)/9March 22, 2013Ray Chandler
195135665997159w716·103565-29March 22, 2013Ray Chandler
19523565 881w9(793·103563+71)/9March 22, 2013Ray Chandler
195335656004760w476·103564+47March 22, 2013Ray Chandler
19563563 35w33(32·103562-203)/9March 22, 2013Ray Chandler
195835622332923w29(7·103561-13)/3March 22, 2013Ray Chandler
195935616441964w19(58·103560-229)/9March 22, 2013Ray Chandler
196035612556925w69(23·103560+121)/9March 22, 2013Ray Chandler
196135608447384w73(76·103559+257)/9March 22, 2013Ray Chandler
196235602442124w21(22·103559-211)/9March 22, 2013Ray Chandler
19633559 65w11(59·103558-401)/9March 22, 2013Ray Chandler
19653559 332w9(299·103557+61)/9March 22, 2013Ray Chandler
196735587889178w91(71·103557+19)/9March 22, 2013Ray Chandler
196835577009770w977·103556+97March 22, 2013Ray Chandler
197035541229312w93(11·103553+637)/9March 22, 2013Ray Chandler
197135541226912w69(11·103553+421)/9March 22, 2013Ray Chandler
19723551 220w722·103549+7March 22, 2013Ray Chandler
197335502996329w633·103549-37March 22, 2013Ray Chandler
197435494664346w43(14·103548-71)/3March 22, 2013Ray Chandler
197535481556315w63(14·103547+67)/9March 22, 2013Ray Chandler
197635461443714w37(13·103545-67)/9March 22, 2013Ray Chandler
197735455337153w71(16·103544+113)/3March 22, 2013Ray Chandler
197835453115331w53(28·103544+377)/9March 22, 2013Ray Chandler
198035433224932w49(29·103542+241)/9March 22, 2013Ray Chandler
198235416773967w39(61·103540-349)/9March 22, 2013Ray Chandler
19833541 337w1(304·103539-61)/9March 22, 2013Ray Chandler
198435405885158w51(53·103539-341)/9March 22, 2013Ray Chandler
198535403882338w23(35·103539-593)/9March 22, 2013Ray Chandler
198635401334913w49(4·103539+47)/3March 22, 2013Ray Chandler
198735392447324w73(22·103538+257)/9March 22, 2013Ray Chandler
199135375776357w63(52·103536-133)/9March 22, 2013Ray Chandler
19923534 52w33(47·103533+97)/9March 22, 2013Ray Chandler
199335334550945w09(41·103532-419)/9March 22, 2013Ray Chandler
19963530 220w922·103528+9March 22, 2013Ray Chandler
199735296004160w416·103528+41March 22, 2013Ray Chandler
199835294772347w23(43·103528-493)/9March 22, 2013Ray Chandler
200035289559795w97(86·103527+373)/9March 22, 2013Ray Chandler
200235281553115w31(14·103527-221)/9March 22, 2013Ray Chandler
200335263661736w17(11·103525-149)/3March 22, 2013Ray Chandler
200435254220942w09(38·103524-119)/9March 22, 2013Ray Chandler
200535247007970w797·103523+79March 22, 2013Ray Chandler
200635245002150w215·103523+21March 22, 2013Ray Chandler
200735243115931w59(28·103523+431)/9March 22, 2013Ray Chandler
200835242665726w57(8·103523-29)/3March 22, 2013Ray Chandler
200935225997159w716·103521-29March 22, 2013Ray Chandler
201035215668156w81(17·103520+43)/3March 22, 2013Ray Chandler
201135199557195w71(86·103518+139)/9March 22, 2013Ray Chandler
201235196006760w676·103518+67March 22, 2013Ray Chandler
201335191007310w73103518+73March 22, 2013Ray Chandler
20143518 998w9(899·103516+1)/9March 22, 2013Ray Chandler
201535189442394w23(85·103517-193)/9March 22, 2013Ray Chandler
201635171668116w81(5·103516+43)/3March 22, 2013Ray Chandler
201735152116721w67(19·103514+503)/9March 22, 2013Ray Chandler
201935139551995w19(86·103512-329)/9March 22, 2013Ray Chandler
202035134007940w794·103512+79March 22, 2013Ray Chandler
202135129889798w97(89·103511+73)/9March 22, 2013Ray Chandler
202235129448994w89(85·103511+401)/9March 22, 2013Ray Chandler
202335127005770w577·103511+57March 22, 2013Ray Chandler
202535115116751w67(46·103510+503)/9March 22, 2013Ray Chandler
20273508 23w99(7·103507+197)/3March 22, 2013Ray Chandler
202835079664196w41(29·103506-77)/3March 22, 2013Ray Chandler
202935074882148w21(44·103506-611)/9March 22, 2013Ray Chandler
203135067447974w79(67·103505+311)/9March 22, 2013Ray Chandler
203235055223752w37(47·103504+133)/9March 22, 2013Ray Chandler
203335039221992w19(83·103502-29)/9March 22, 2013Ray Chandler
203435033997339w734·103502-27March 22, 2013Ray Chandler
203635005225952w59(47·103499+331)/9March 22, 2013Ray Chandler

March 19, 2013

Factorizations of 188...883 and Factorizations of 399...997 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

March 17, 2013

Ray Chandler certificated 1 near-repdigit prime numbers, 50 quasi-repdigit prime numbers and 88 near-repdigit-related prime numbers by Primo. Certifications are available.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
4493498777677w67(7·103498-97)/9March 17, 2013Ray Chandler
Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
26834939777397w3(88·103492-43)/9March 17, 2013Ray Chandler
27034894334343w43(13·103488+29)/3March 17, 2013Ray Chandler
2713488555735w73(5·103488+157)/9March 17, 2013Ray Chandler
2723484555915w91(5·103484+319)/9March 17, 2013Ray Chandler
273348419333193w(58·103482-1)/3March 17, 2013Ray Chandler
274348196997969w797·103479-3March 17, 2013Ray Chandler
27634755444354w3(49·103474-13)/9March 17, 2013Ray Chandler
2773475222672w67(2·103475+403)/9March 17, 2013Ray Chandler
27834749111791w7(82·103473+53)/9March 17, 2013Ray Chandler
2793473 9w77103473-23March 17, 2013Ray Chandler
281347256559565w9(509·103470+31)/9March 17, 2013Ray Chandler
28234684990949w095·103467-91March 17, 2013Ray Chandler
2833468222412w41(2·103468+169)/9March 17, 2013Ray Chandler
285346374333743w(223·103461-1)/3March 17, 2013Ray Chandler
28634633772737w27(34·103462-457)/9March 17, 2013Ray Chandler
28734626776767w67(61·103461-97)/9March 17, 2013Ray Chandler
28834615111351w3(46·103460+17)/9March 17, 2013Ray Chandler
289346012119121w9(109·103458+71)/9March 17, 2013Ray Chandler
29034587222972w9(65·103457+61)/9March 17, 2013Ray Chandler
29134585336353w63(16·103457+89)/3March 17, 2013Ray Chandler
2923457999079w07103457-93March 17, 2013Ray Chandler
2943454777537w53(7·103454-223)/9March 17, 2013Ray Chandler
295345285777857w(772·103450-7)/9March 17, 2013Ray Chandler
296345179333793w(238·103449-1)/3March 17, 2013Ray Chandler
29734482555125w1(23·103447-41)/9March 17, 2013Ray Chandler
29834467666176w1(23·103445-17)/3March 17, 2013Ray Chandler
29934462777327w3(25·103445-43)/9March 17, 2013Ray Chandler
3003445777237w23(7·103445-493)/9March 17, 2013Ray Chandler
301344524229242w9(218·103443+61)/9March 17, 2013Ray Chandler
30234438333983w9(25·103442+17)/3March 17, 2013Ray Chandler
30334427666176w1(23·103441-17)/3March 17, 2013Ray Chandler
304343881777817w(736·103436-7)/9March 17, 2013Ray Chandler
305343734337343w7(103·103435+11)/3March 17, 2013Ray Chandler
306343481883818w3(737·103432-53)/9March 17, 2013Ray Chandler
307343441333413w(124·103432-1)/3March 17, 2013Ray Chandler
308343186881868w1(782·103429-71)/9March 17, 2013Ray Chandler
31034266998969w897·103425-11March 17, 2013Ray Chandler
31134254555945w9(41·103424+31)/9March 17, 2013Ray Chandler
312342524223242w3(218·103423+7)/9March 17, 2013Ray Chandler
313342224223242w3(218·103420+7)/9March 17, 2013Ray Chandler
314341959551595w1(536·103417-41)/9March 17, 2013Ray Chandler
315341749443494w3(445·103415-13)/9March 17, 2013Ray Chandler
3163416888618w61(8·103416-251)/9March 17, 2013Ray Chandler
3173416111971w97(103416+773)/9March 17, 2013Ray Chandler
3183412444634w63(4·103412+167)/9March 17, 2013Ray Chandler
319341165663656w3(197·103409-11)/3March 17, 2013Ray Chandler
3203410444614w61(4·103410+149)/9March 17, 2013Ray Chandler
3213409333293w29(103409-13)/3March 17, 2013Ray Chandler
322340891993919w392·103406-7March 17, 2013Ray Chandler
323340637339373w9(112·103404+17)/3March 17, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
194434989002390w239·103497+23March 17, 2013Ray Chandler
194634963224732w47(29·103495+223)/9March 17, 2013Ray Chandler
194734963001330w133·103495+13March 17, 2013Ray Chandler
194834954553145w31(41·103494-221)/9March 17, 2013Ray Chandler
194934942335723w57(7·103493+71)/3March 17, 2013Ray Chandler
195034938448984w89(76·103492+401)/9March 17, 2013Ray Chandler
195134927667976w79(23·103491+37)/3March 17, 2013Ray Chandler
195234909229392w93(83·103489+637)/9March 17, 2013Ray Chandler
195334907882978w29(71·103489-539)/9March 17, 2013Ray Chandler
19543489 665w7(599·103487+13)/9March 17, 2013Ray Chandler
195634877662176w21(23·103486-137)/3March 17, 2013Ray Chandler
195734874004940w494·103486+49March 17, 2013Ray Chandler
195934848995189w519·103483-49March 17, 2013Ray Chandler
19613484 229w123·103482-9March 17, 2013Ray Chandler
196234833443134w31(31·103482-121)/9March 17, 2013Ray Chandler
19633479 73w99(22·103478+197)/3March 17, 2013Ray Chandler
196434796556165w61(59·103478+49)/9March 17, 2013Ray Chandler
19653479 110w311·103477+3March 17, 2013Ray Chandler
196634773449734w97(31·103476+473)/9March 17, 2013Ray Chandler
196734772775127w51(25·103476-241)/9March 17, 2013Ray Chandler
19683477 119w312·103475-7March 17, 2013Ray Chandler
19693476 49w335·103475-67March 17, 2013Ray Chandler
197134742441724w17(22·103473-247)/9March 17, 2013Ray Chandler
197334701004910w49103469+49March 17, 2013Ray Chandler
197434693448134w81(31·103468+329)/9March 17, 2013Ray Chandler
197534686884368w43(62·103467-413)/9March 17, 2013Ray Chandler
197634683776137w61(34·103467-151)/9March 17, 2013Ray Chandler
197834679779397w93(88·103466+137)/9March 17, 2013Ray Chandler
197934674778347w83(43·103466+47)/9March 17, 2013Ray Chandler
198034668445384w53(76·103465+77)/9March 17, 2013Ray Chandler
198134657005770w577·103464+57March 17, 2013Ray Chandler
19823465 220w322·103463+3March 17, 2013Ray Chandler
198334646448764w87(58·103463+383)/9March 17, 2013Ray Chandler
19853463 79w338·103462-67March 17, 2013Ray Chandler
198634636226362w63(56·103462+367)/9March 17, 2013Ray Chandler
198734625331753w17(16·103461-49)/3March 17, 2013Ray Chandler
198934602006920w692·103459+69March 17, 2013Ray Chandler
199034585778157w81(52·103457+29)/9March 17, 2013Ray Chandler
199134578334183w41(25·103456+23)/3March 17, 2013Ray Chandler
19933454 442w1(398·103452-11)/9March 17, 2013Ray Chandler
199434541887918w79(17·103453-89)/9March 17, 2013Ray Chandler
199534541557115w71(14·103453+139)/9March 17, 2013Ray Chandler
199634538443984w39(76·103452-49)/9March 17, 2013Ray Chandler
199734535660956w09(17·103452-173)/3March 17, 2013Ray Chandler
19983452 95w33(86·103451-203)/9March 17, 2013Ray Chandler
19993452 118w7(107·103450-17)/9March 17, 2013Ray Chandler
200134484009740w974·103447+97March 17, 2013Ray Chandler
200434452336923w69(7·103444+107)/3March 17, 2013Ray Chandler
200534433559335w93(32·103442+337)/9March 17, 2013Ray Chandler
20063442 72w11(65·103441-101)/9March 17, 2013Ray Chandler
200934359226192w61(83·103434+349)/9March 17, 2013Ray Chandler
201034355115751w57(46·103434+413)/9March 17, 2013Ray Chandler
201134346004960w496·103433+49March 17, 2013Ray Chandler
20123433 550w755·103431+7March 17, 2013Ray Chandler
20143432 221w3(199·103430+17)/9March 17, 2013Ray Chandler
201534322115721w57(19·103431+413)/9March 17, 2013Ray Chandler
201734307559175w91(68·103429+319)/9March 17, 2013Ray Chandler
20183430 69w117·103429-89March 17, 2013Ray Chandler
201934304664346w43(14·103429-71)/3March 17, 2013Ray Chandler
202034286004160w416·103427+41March 17, 2013Ray Chandler
202134277669376w93(23·103426+79)/3March 17, 2013Ray Chandler
202234261996119w612·103425-39March 17, 2013Ray Chandler
202334251446114w61(13·103424+149)/9March 17, 2013Ray Chandler
202434247445774w57(67·103423+113)/9March 17, 2013Ray Chandler
202634231770317w03(16·103422-673)/9March 17, 2013Ray Chandler
202834219334993w49(28·103420+47)/3March 17, 2013Ray Chandler
202934209007190w719·103419+71March 17, 2013Ray Chandler
203034208440984w09(76·103419-319)/9March 17, 2013Ray Chandler
203234173551335w13(32·103416-383)/9March 17, 2013Ray Chandler
203434167441774w17(67·103415-247)/9March 17, 2013Ray Chandler
20353415 558w1(503·103413-71)/9March 17, 2013Ray Chandler
203734151223112w31(11·103414+79)/9March 17, 2013Ray Chandler
203834145885358w53(53·103413-323)/9March 17, 2013Ray Chandler
20393414 51w77(46·103413+593)/9March 17, 2013Ray Chandler
204034143224732w47(29·103413+223)/9March 17, 2013Ray Chandler
204234139227392w73(83·103412+457)/9March 17, 2013Ray Chandler
204434113006730w673·103410+67March 17, 2013Ray Chandler
204534101002110w21103409+21March 17, 2013Ray Chandler
204634084002140w214·103407+21March 17, 2013Ray Chandler
204734083776137w61(34·103407-151)/9March 17, 2013Ray Chandler
204834063991739w174·103405-83March 17, 2013Ray Chandler
204934062440724w07(22·103405-337)/9March 17, 2013Ray Chandler
20503405 84w11(76·103404-301)/9March 17, 2013Ray Chandler
205134052772927w29(25·103404-439)/9March 17, 2013Ray Chandler
205234041441314w13(13·103403-283)/9March 17, 2013Ray Chandler
205334027119771w97(64·103401+773)/9March 17, 2013Ray Chandler
205634015668756w87(17·103400+61)/3March 17, 2013Ray Chandler
206034001556715w67(14·103399+103)/9March 17, 2013Ray Chandler

March 16, 2013

Factorizations of 144...449 and Factorizations of 311...113 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

March 15, 2013

Erik Branger found 7 near-repdigit PRPs.

Unprovable near-repdigit PRPs
 digitsflabelwlabelexpressionwhenwho
52429605111151w(46·1042959-1)/9March 15, 2013Erik Branger
54414854333343w(13·1041484-1)/3March 15, 2013Erik Branger
56412702333323w(7·1041269-1)/3March 15, 2013Erik Branger
61394539777797w(88·1039452-7)/9March 15, 2013Erik Branger
73360974777747w(43·1036096-7)/9March 15, 2013Erik Branger
79345204777747w(43·1034519-7)/9March 15, 2013Erik Branger
80330694333343w(13·1033068-1)/3March 15, 2013Erik Branger

March 13, 2013

Factorizations of 122...229 and Factorizations of 277...77 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

March 10, 2013

Factorizations of 211...113 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

March 8, 2013

Factorizations of 199...991 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

March 6, 2013

Factorizations of 177...779 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

March 5, 2013

Erik Branger found 7 near-repdigit PRPs.

Unprovable near-repdigit PRPs
 digitsflabelwlabelexpressionwhenwho
4648297666616w1(2·1048297-17)/3March 5, 2013Erik Branger
4745825777737w3(7·1045825-43)/9March 5, 2013Erik Branger
5242689111171w7(1042689+53)/9March 5, 2013Erik Branger
5341316444434w3(4·1041316-13)/9March 5, 2013Erik Branger
6038517555575w7(5·1038517+13)/9March 5, 2013Erik Branger
6636783555575w7(5·1036783+13)/9March 5, 2013Erik Branger
7335006888838w3(8·1035006-53)/9March 5, 2013Erik Branger

March 4, 2013

Factorizations of 166...663 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

March 3, 2013

Alfred Reich proved the primality of 3593-digit prime number Phi(7982,10)/4994920087/13767395689087/15749567720641/203044081590819877318670872989567488107349933 and 3708-digit near-repdigit prime number (25·103707-1)/3 by Primo. Certifications are available.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
43537088333383w(25·103707-1)/3March 3, 2013Alfred Reich

March 2, 2013

Alfred Reich proved the primality of 5289-digit prime number Phi(10618,10)/33185496366103286717 and 3691-digit prime number Phi(7478,10)/14957/159236533/300846087925531/757136483132754400607 by Primo. Certifications are available.

Factorizations of 144...447 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

February 2013

February 28, 2013

Factorizations of 855...551 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

February 26, 2013

Ray Chandler certificated 5 near-repdigit prime numbers, 42 quasi-repdigit prime numbers and 79 near-repdigit-related prime numbers by Primo. Certifications are available.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
4553377 9w2999999999103377-7000000001February 26, 2013Ray Chandler
458336873777737w(664·103366-7)/9February 26, 2013Ray Chandler
4603349 9w299999999103349-700000001February 26, 2013Ray Chandler
462332837333373w(112·103326-1)/3February 26, 2013Ray Chandler
4663302333433w43(103302+29)/3February 26, 2013Ray Chandler
Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
274339882889828w9(746·103396+1)/9February 26, 2013Ray Chandler
27533958332383w23(25·103394-31)/3February 26, 2013Ray Chandler
278339041443414w3(373·103388-13)/9February 26, 2013Ray Chandler
2793389888618w61(8·103389-251)/9February 26, 2013Ray Chandler
28033872998929w893·103386-11February 26, 2013Ray Chandler
282338442111421w(379·103382-1)/9February 26, 2013Ray Chandler
28333843771737w17(34·103383-547)/9February 26, 2013Ray Chandler
28433808110181w01(73·103379-91)/9February 26, 2013Ray Chandler
28533799222392w3(83·103378+7)/9February 26, 2013Ray Chandler
28633793444934w9(31·103378+41)/9February 26, 2013Ray Chandler
2873379111691w69(103379+521)/9February 26, 2013Ray Chandler
288337882881828w1(746·103376-71)/9February 26, 2013Ray Chandler
289337770771707w1(637·103375-61)/9February 26, 2013Ray Chandler
290337598333983w(295·103373-1)/3February 26, 2013Ray Chandler
29133734111741w7(37·103372+53)/9February 26, 2013Ray Chandler
29233708117181w71(73·103369+539)/9February 26, 2013Ray Chandler
29333704771747w17(43·103369-547)/9February 26, 2013Ray Chandler
29433702444124w1(22·103369-31)/9February 26, 2013Ray Chandler
29533691990919w092·103368-91February 26, 2013Ray Chandler
29633679555195w1(86·103366-41)/9February 26, 2013Ray Chandler
29733676119161w91(55·103366+719)/9February 26, 2013Ray Chandler
29833666113161w31(55·103365+179)/9February 26, 2013Ray Chandler
299336561333613w(184·103363-1)/3February 26, 2013Ray Chandler
30033575332353w23(16·103356-31)/3February 26, 2013Ray Chandler
30133435666956w9(17·103342+7)/3February 26, 2013Ray Chandler
302334228221282w1(254·103340-11)/9February 26, 2013Ray Chandler
303334224227242w7(218·103340+43)/9February 26, 2013Ray Chandler
304333982777827w(745·103337-7)/9February 26, 2013Ray Chandler
30533294777947w9(43·103328+11)/9February 26, 2013Ray Chandler
30633288773787w37(79·103327-367)/9February 26, 2013Ray Chandler
3073326777617w61(7·103326-151)/9February 26, 2013Ray Chandler
309332353111531w(478·103321-1)/9February 26, 2013Ray Chandler
31033204333143w1(13·103319-7)/3February 26, 2013Ray Chandler
31133187666376w3(23·103317-11)/3February 26, 2013Ray Chandler
312331849333493w(148·103316-1)/3February 26, 2013Ray Chandler
31333172775727w57(25·103316-187)/9February 26, 2013Ray Chandler
31433158333983w9(25·103314+17)/3February 26, 2013Ray Chandler
3153313777397w39(7·103313-349)/9February 26, 2013Ray Chandler
316330965663656w3(197·103307-11)/3February 26, 2013Ray Chandler
31733064666346w3(14·103305-11)/3February 26, 2013Ray Chandler
31833021444714w7(13·103301+23)/9February 26, 2013Ray Chandler
3193300999319w31103300-69February 26, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
197333991663116w31(5·103398-107)/3February 26, 2013Ray Chandler
19753394 13w99(4·103393+197)/3February 26, 2013Ray Chandler
197633937667376w73(23·103392+19)/3February 26, 2013Ray Chandler
197833922668726w87(8·103391+61)/3February 26, 2013Ray Chandler
197933909114791w47(82·103389+323)/9February 26, 2013Ray Chandler
198033887668176w81(23·103387+43)/3February 26, 2013Ray Chandler
198133886220362w03(56·103387-173)/9February 26, 2013Ray Chandler
198233883779337w93(34·103387+137)/9February 26, 2013Ray Chandler
19833386 14w77(13·103385+293)/9February 26, 2013Ray Chandler
198433853663136w31(11·103384-107)/3February 26, 2013Ray Chandler
198533849660196w01(29·103383-197)/3February 26, 2013Ray Chandler
198833828003980w398·103381+39February 26, 2013Ray Chandler
199033821445114w51(13·103381+59)/9February 26, 2013Ray Chandler
199433768775987w59(79·103375-169)/9February 26, 2013Ray Chandler
199533746113961w39(55·103373+251)/9February 26, 2013Ray Chandler
199733737661976w19(23·103372-143)/3February 26, 2013Ray Chandler
199933724664346w43(14·103371-71)/3February 26, 2013Ray Chandler
20003371 338w9(305·103369+1)/9February 26, 2013Ray Chandler
20013370 92w11(83·103369-101)/9February 26, 2013Ray Chandler
200333662996329w633·103365-37February 26, 2013Ray Chandler
20053365 72w99(65·103364+691)/9February 26, 2013Ray Chandler
20063363 992w7(893·103361+43)/9February 26, 2013Ray Chandler
20073363 96w77(29·103362+31)/3February 26, 2013Ray Chandler
20083363 884w7(796·103361+23)/9February 26, 2013Ray Chandler
201033617663976w39(23·103360-83)/3February 26, 2013Ray Chandler
201233564115341w53(37·103355+377)/9February 26, 2013Ray Chandler
20133355 35w11(32·103354-401)/9February 26, 2013Ray Chandler
20153352 86w77(26·103351+31)/3February 26, 2013Ray Chandler
201733499559395w93(86·103348+337)/9February 26, 2013Ray Chandler
201933488447184w71(76·103347+239)/9February 26, 2013Ray Chandler
202033476884368w43(62·103346-413)/9February 26, 2013Ray Chandler
20213347 56w99(17·103346+97)/3February 26, 2013Ray Chandler
202333458115981w59(73·103344+431)/9February 26, 2013Ray Chandler
202433454993149w315·103344-69February 26, 2013Ray Chandler
202533447552375w23(68·103343-293)/9February 26, 2013Ray Chandler
202633446223162w31(56·103343+79)/9February 26, 2013Ray Chandler
202733429449794w97(85·103341+473)/9February 26, 2013Ray Chandler
202833414005740w574·103340+57February 26, 2013Ray Chandler
202933407003170w317·103339+31February 26, 2013Ray Chandler
203133394880948w09(44·103338-719)/9February 26, 2013Ray Chandler
203233388224782w47(74·103337+223)/9February 26, 2013Ray Chandler
203333388119381w93(73·103337+737)/9February 26, 2013Ray Chandler
203433385779157w91(52·103337+119)/9February 26, 2013Ray Chandler
203533363660736w07(11·103335-179)/3February 26, 2013Ray Chandler
203733357880378w03(71·103334-773)/9February 26, 2013Ray Chandler
203833348229782w97(74·103333+673)/9February 26, 2013Ray Chandler
203933347226172w61(65·103333+349)/9February 26, 2013Ray Chandler
204233334998749w875·103332-13February 26, 2013Ray Chandler
204333324225142w51(38·103331+259)/9February 26, 2013Ray Chandler
20443331 39w114·103330-89February 26, 2013Ray Chandler
204533312668126w81(8·103330+43)/3February 26, 2013Ray Chandler
204633304779147w91(43·103329+119)/9February 26, 2013Ray Chandler
204733299886398w63(89·103328-233)/9February 26, 2013Ray Chandler
204933296442964w29(58·103328-139)/9February 26, 2013Ray Chandler
205033293225732w57(29·103328+313)/9February 26, 2013Ray Chandler
205133289330193w01(28·103327-97)/3February 26, 2013Ray Chandler
205233288114381w43(73·103327+287)/9February 26, 2013Ray Chandler
205333246339763w97(19·103323+191)/3February 26, 2013Ray Chandler
205433245445754w57(49·103323+113)/9February 26, 2013Ray Chandler
205633205882958w29(53·103319-539)/9February 26, 2013Ray Chandler
205833176003760w376·103316+37February 26, 2013Ray Chandler
20593316 47w99(43·103315+191)/9February 26, 2013Ray Chandler
20603314 87w99(79·103313+191)/9February 26, 2013Ray Chandler
206133144557145w71(41·103313+139)/9February 26, 2013Ray Chandler
20623313 70w337·103312+33February 26, 2013Ray Chandler
206333134554345w43(41·103312-113)/9February 26, 2013Ray Chandler
206433133994339w434·103312-57February 26, 2013Ray Chandler
206533122885328w53(26·103311-323)/9February 26, 2013Ray Chandler
206833117221772w17(65·103310-47)/9February 26, 2013Ray Chandler
206933107110371w03(64·103309-73)/9February 26, 2013Ray Chandler
207033102008920w892·103309+89February 26, 2013Ray Chandler
207133087114371w43(64·103307+287)/9February 26, 2013Ray Chandler
20723308 667w3(601·103306-43)/9February 26, 2013Ray Chandler
20733306 882w3(794·103304+7)/9February 26, 2013Ray Chandler
20743306 53w99(16·103305+197)/3February 26, 2013Ray Chandler
207533041553715w37(14·103303-167)/9February 26, 2013Ray Chandler
207633025005750w575·103301+57February 26, 2013Ray Chandler
20773302 27w33(25·103301-403)/9February 26, 2013Ray Chandler
20783301 334w3(301·103299-13)/9February 26, 2013Ray Chandler

February 25, 2013

Factorizations of 133...339 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

February 23, 2013

Factorizations of 122...223 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

February 21, 2013

Factorizations of 477...779 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

February 19, 2013

Factorizations of 688...881 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

February 16, 2013

Factorizations of 300...007 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

Ray Chandler certificated 3 near-repdigit prime numbers, 41 quasi-repdigit prime numbers and 89 near-repdigit-related prime numbers by Primo. Certifications are available.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
4643248 9w499103248-501February 16, 2013Ray Chandler
4663239 9w1999999999103239-8000000001February 16, 2013Ray Chandler
4673235 9w5999999103235-4000001February 16, 2013Ray Chandler
Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
27832995111351w3(46·103298+17)/9February 16, 2013Ray Chandler
2793299444914w91(4·103299+419)/9February 16, 2013Ray Chandler
280329818119181w9(163·103296+71)/9February 16, 2013Ray Chandler
28132973774737w47(34·103296-277)/9February 16, 2013Ray Chandler
28232967334373w43(22·103295+29)/3February 16, 2013Ray Chandler
28332952111321w3(19·103294+17)/9February 16, 2013Ray Chandler
28432934222742w7(38·103292+43)/9February 16, 2013Ray Chandler
285329323227232w7(209·103291+43)/9February 16, 2013Ray Chandler
287329068111681w(613·103288-1)/9February 16, 2013Ray Chandler
288328895333953w(286·103286-1)/3February 16, 2013Ray Chandler
28932885336353w63(16·103287+89)/3February 16, 2013Ray Chandler
29032874555745w7(41·103286+13)/9February 16, 2013Ray Chandler
2913286555315w31(5·103286-221)/9February 16, 2013Ray Chandler
2923284222532w53(2·103284+277)/9February 16, 2013Ray Chandler
293328417333173w(52·103282-1)/3February 16, 2013Ray Chandler
294328198333983w(295·103279-1)/3February 16, 2013Ray Chandler
2953281666316w31(2·103281-107)/3February 16, 2013Ray Chandler
297326160111601w(541·103259-1)/9February 16, 2013Ray Chandler
2993257444914w91(4·103257+419)/9February 16, 2013Ray Chandler
30032544999749w75·103253-3February 16, 2013Ray Chandler
30132424114141w41(37·103241+269)/9February 16, 2013Ray Chandler
30232403997939w794·103239-21February 16, 2013Ray Chandler
30332383555935w9(32·103237+31)/9February 16, 2013Ray Chandler
30432341444914w9(13·103233+41)/9February 16, 2013Ray Chandler
305323161777617w(556·103229-7)/9February 16, 2013Ray Chandler
3073229 3w11(103229-67)/3February 16, 2013Ray Chandler
30832253444934w9(31·103224+41)/9February 16, 2013Ray Chandler
309322528221282w1(254·103223-11)/9February 16, 2013Ray Chandler
310322519113191w3(172·103223+17)/9February 16, 2013Ray Chandler
3113223222672w67(2·103223+403)/9February 16, 2013Ray Chandler
312322249333493w(148·103220-1)/3February 16, 2013Ray Chandler
313321783883838w3(755·103215-53)/9February 16, 2013Ray Chandler
314321486881868w1(782·103212-71)/9February 16, 2013Ray Chandler
315321463111631w(568·103212-1)/9February 16, 2013Ray Chandler
3163213555715w71(5·103213+139)/9February 16, 2013Ray Chandler
317321054551545w1(491·103208-41)/9February 16, 2013Ray Chandler
31832095990959w096·103208-91February 16, 2013Ray Chandler
3193206999539w53103206-47February 16, 2013Ray Chandler
32132059338393w83(28·103204+149)/3February 16, 2013Ray Chandler
322320553777537w(484·103203-7)/9February 16, 2013Ray Chandler
323320539777397w(358·103203-7)/9February 16, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
200332984886148w61(44·103297-251)/9February 16, 2013Ray Chandler
200732974886148w61(44·103296-251)/9February 16, 2013Ray Chandler
200832972663926w39(8·103296-83)/3February 16, 2013Ray Chandler
20093296 56w77(17·103295+31)/3February 16, 2013Ray Chandler
201032951442714w27(13·103294-157)/9February 16, 2013Ray Chandler
201132947553775w37(68·103293-167)/9February 16, 2013Ray Chandler
201232942667126w71(8·103293+13)/3February 16, 2013Ray Chandler
201332939880198w01(89·103292-791)/9February 16, 2013Ray Chandler
201432938552385w23(77·103292-293)/9February 16, 2013Ray Chandler
201532931883918w39(17·103292-449)/9February 16, 2013Ray Chandler
201732923225332w53(29·103291+277)/9February 16, 2013Ray Chandler
201932917443174w31(67·103290-121)/9February 16, 2013Ray Chandler
202032913227932w79(29·103290+511)/9February 16, 2013Ray Chandler
202232876001760w176·103286+17February 16, 2013Ray Chandler
202332871003710w37103286+37February 16, 2013Ray Chandler
202432858332983w29(25·103284-13)/3February 16, 2013Ray Chandler
202532834556745w67(41·103282+103)/9February 16, 2013Ray Chandler
202632807229172w91(65·103279+619)/9February 16, 2013Ray Chandler
20293278 78w77(71·103277-107)/9February 16, 2013Ray Chandler
203032782119321w93(19·103277+737)/9February 16, 2013Ray Chandler
203232759008990w899·103274+89February 16, 2013Ray Chandler
203332754775347w53(43·103274-223)/9February 16, 2013Ray Chandler
203432754114341w43(37·103274+287)/9February 16, 2013Ray Chandler
203632743880338w03(35·103273-773)/9February 16, 2013Ray Chandler
203732738775387w53(79·103272-223)/9February 16, 2013Ray Chandler
20383273 28w77(26·103272-107)/9February 16, 2013Ray Chandler
204032721880318w03(17·103271-773)/9February 16, 2013Ray Chandler
20413267 882w3(794·103265+7)/9February 16, 2013Ray Chandler
204232677665176w51(23·103266-47)/3February 16, 2013Ray Chandler
204432659552795w27(86·103264-257)/9February 16, 2013Ray Chandler
204732624225342w53(38·103261+277)/9February 16, 2013Ray Chandler
204832622115321w53(19·103261+377)/9February 16, 2013Ray Chandler
20493261 993w1(298·103259-7)/3February 16, 2013Ray Chandler
20513259 224w3(202·103257-13)/9February 16, 2013Ray Chandler
20523258 35w77(32·103257+193)/9February 16, 2013Ray Chandler
20533258 19w332·103257-67February 16, 2013Ray Chandler
205632546226362w63(56·103253+367)/9February 16, 2013Ray Chandler
205732538665386w53(26·103252-41)/3February 16, 2013Ray Chandler
20583253 338w3(305·103251-53)/9February 16, 2013Ray Chandler
20603252 76w99(23·103251+97)/3February 16, 2013Ray Chandler
206132527559375w93(68·103251+337)/9February 16, 2013Ray Chandler
206232521442714w27(13·103251-157)/9February 16, 2013Ray Chandler
206332479007190w719·103246+71February 16, 2013Ray Chandler
206632459552795w27(86·103244-257)/9February 16, 2013Ray Chandler
20673245 76w33(23·103244-101)/3February 16, 2013Ray Chandler
206832454332143w21(13·103244-37)/3February 16, 2013Ray Chandler
206932453886938w69(35·103244-179)/9February 16, 2013Ray Chandler
207032452662726w27(8·103244-119)/3February 16, 2013Ray Chandler
207132448338783w87(25·103243+161)/3February 16, 2013Ray Chandler
20723244 332w9(299·103242+61)/9February 16, 2013Ray Chandler
207332438115381w53(73·103242+377)/9February 16, 2013Ray Chandler
207532425117351w73(46·103241+557)/9February 16, 2013Ray Chandler
207632407221972w19(65·103239-29)/9February 16, 2013Ray Chandler
20773238 86w99(26·103237+97)/3February 16, 2013Ray Chandler
20783238 86w11(26·103237-167)/3February 16, 2013Ray Chandler
207932386558365w83(59·103237+247)/9February 16, 2013Ray Chandler
208132362771927w19(25·103235-529)/9February 16, 2013Ray Chandler
208232352447324w73(22·103234+257)/9February 16, 2013Ray Chandler
208432348994789w479·103233-53February 16, 2013Ray Chandler
208732319119791w97(82·103230+773)/9February 16, 2013Ray Chandler
208832315887158w71(53·103230-161)/9February 16, 2013Ray Chandler
209032295002750w275·103228+27February 16, 2013Ray Chandler
209132267448974w89(67·103225+401)/9February 16, 2013Ray Chandler
209232263225932w59(29·103225+331)/9February 16, 2013Ray Chandler
209332241990719w072·103223-93February 16, 2013Ray Chandler
209432228336983w69(25·103221+107)/3February 16, 2013Ray Chandler
209532228224782w47(74·103221+223)/9February 16, 2013Ray Chandler
209632226115361w53(55·103221+377)/9February 16, 2013Ray Chandler
209732225885758w57(53·103221-287)/9February 16, 2013Ray Chandler
209832216554365w43(59·103220-113)/9February 16, 2013Ray Chandler
209932206446364w63(58·103219+167)/9February 16, 2013Ray Chandler
210132187884178w41(71·103217-431)/9February 16, 2013Ray Chandler
21023218 448w7(404·103216-17)/9February 16, 2013Ray Chandler
21043217 50w335·103216+33February 16, 2013Ray Chandler
210532161228112w81(11·103215+529)/9February 16, 2013Ray Chandler
210632142112921w29(19·103213+161)/9February 16, 2013Ray Chandler
21073213 887w3(799·103211-43)/9February 16, 2013Ray Chandler
21083213 224w3(202·103211-13)/9February 16, 2013Ray Chandler
210932131339113w91(4·103212+173)/3February 16, 2013Ray Chandler
211232114993149w315·103210-69February 16, 2013Ray Chandler
211332111775117w51(16·103210-241)/9February 16, 2013Ray Chandler
211432107880778w07(71·103209-737)/9February 16, 2013Ray Chandler
211532102551725w17(23·103209-347)/9February 16, 2013Ray Chandler
211632091660316w03(5·103208-191)/3February 16, 2013Ray Chandler
21173208 557w3(502·103206-43)/9February 16, 2013Ray Chandler
211932056775167w51(61·103204-241)/9February 16, 2013Ray Chandler
21203204 48w99(44·103203+91)/9February 16, 2013Ray Chandler
212132027227972w79(65·103201+511)/9February 16, 2013Ray Chandler
212232021224712w47(11·103201+223)/9February 16, 2013Ray Chandler

February 13, 2013

Factorizations of 366...661 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

February 10, 2013

Factorizations of 288...881 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

February 7, 2013

Factorizations of 988...887 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

Ray Chandler certificated 6 near-repdigit prime numbers, 4 plateau and depression prime numbers, 49 quasi-repdigit prime numbers and 93 near-repdigit-related prime numbers by Primo. Certifications are available.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
4663191 9w8999103191-1001February 7, 2013Ray Chandler
4673182 9w199103182-801February 7, 2013Ray Chandler
4683180 9w4999103180-5001February 7, 2013Ray Chandler
4693170444474w7(4·103170+23)/9February 7, 2013Ray Chandler
4713156 9w7999103156-2001February 7, 2013Ray Chandler
4753108333733w73(103108+119)/3February 7, 2013Ray Chandler
Proven plateau and depression primes
 digitsflabelwlabelexpressionwhenwho
347959888998w9(89·104794+1)/9February 7, 2013Ray Chandler
439837555775w7(68·103982+13)/9February 7, 2013Ray Chandler
538773777337w3(34·103876-43)/9February 7, 2013Ray Chandler
638137555775w7(68·103812+13)/9February 7, 2013Ray Chandler
Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
2843199222932w93(2·103199+637)/9February 7, 2013Ray Chandler
286319725229252w9(227·103195+61)/9February 7, 2013Ray Chandler
287319630777307w(277·103194-7)/9February 7, 2013Ray Chandler
288319626333263w(79·103194-1)/3February 7, 2013Ray Chandler
2893194999319w31103194-69February 7, 2013Ray Chandler
29131927112171w21(64·103191+89)/9February 7, 2013Ray Chandler
292318927111271w(244·103187-1)/9February 7, 2013Ray Chandler
293318761333613w(184·103185-1)/3February 7, 2013Ray Chandler
294318651551515w1(464·103184-41)/9February 7, 2013Ray Chandler
29631818117181w71(73·103180+539)/9February 7, 2013Ray Chandler
297317841441414w1(373·103176-31)/9February 7, 2013Ray Chandler
29831769333793w7(28·103175+11)/3February 7, 2013Ray Chandler
299317259553595w3(536·103170-23)/9February 7, 2013Ray Chandler
30031716335363w53(19·103170+59)/3February 7, 2013Ray Chandler
30131705119151w91(46·103169+719)/9February 7, 2013Ray Chandler
302317036337363w7(109·103168+11)/3February 7, 2013Ray Chandler
30331668777987w9(79·103165+11)/9February 7, 2013Ray Chandler
30431658993989w399·103164-61February 7, 2013Ray Chandler
30531653777937w9(34·103164+11)/9February 7, 2013Ray Chandler
307316313119131w9(118·103161+71)/9February 7, 2013Ray Chandler
308315975771757w1(682·103157-61)/9February 7, 2013Ray Chandler
3093154555035w03(5·103154-473)/9February 7, 2013Ray Chandler
31131513997939w794·103150-21February 7, 2013Ray Chandler
31231497999179w18·103148-9February 7, 2013Ray Chandler
314314856559565w9(509·103146+31)/9February 7, 2013Ray Chandler
31531483888938w9(35·103147+1)/9February 7, 2013Ray Chandler
31631466444764w7(58·103145+23)/9February 7, 2013Ray Chandler
31731443111931w9(28·103143+71)/9February 7, 2013Ray Chandler
318314324229242w9(218·103141+61)/9February 7, 2013Ray Chandler
31931427333173w1(22·103141-7)/3February 7, 2013Ray Chandler
32031362777127w1(25·103135-61)/9February 7, 2013Ray Chandler
32131332119121w91(19·103132+719)/9February 7, 2013Ray Chandler
3233132222532w53(2·103132+277)/9February 7, 2013Ray Chandler
324313169661696w1(209·103129-17)/3February 7, 2013Ray Chandler
325312685889858w9(773·103124+1)/9February 7, 2013Ray Chandler
326312586881868w1(782·103123-71)/9February 7, 2013Ray Chandler
32731254993949w395·103124-61February 7, 2013Ray Chandler
3293123333673w67(103123+101)/3February 7, 2013Ray Chandler
331311885887858w7(773·103116-17)/9February 7, 2013Ray Chandler
332311646111461w(415·103114-1)/9February 7, 2013Ray Chandler
3333114222892w89(2·103114+601)/9February 7, 2013Ray Chandler
3353110555675w67(5·103110+103)/9February 7, 2013Ray Chandler
3363108888178w17(8·103108-647)/9February 7, 2013Ray Chandler
337310758111581w(523·103105-1)/9February 7, 2013Ray Chandler
33831038338383w83(25·103102+149)/3February 7, 2013Ray Chandler
3393102444034w03(4·103102-373)/9February 7, 2013Ray Chandler
340310237339373w9(112·103100+17)/3February 7, 2013Ray Chandler
342310141449414w9(373·103099+41)/9February 7, 2013Ray Chandler
343310127221272w1(245·103099-11)/9February 7, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
203431991006110w61103198+61February 7, 2013Ray Chandler
203531987220172w01(65·103197-191)/9February 7, 2013Ray Chandler
203631973993739w374·103196-63February 7, 2013Ray Chandler
203831966335963w59(19·103195+77)/3February 7, 2013Ray Chandler
204031961331913w19(4·103195-43)/3February 7, 2013Ray Chandler
204131956008360w836·103194+83February 7, 2013Ray Chandler
20423194 771w9(694·103192+71)/9February 7, 2013Ray Chandler
204331943229732w97(29·103193+673)/9February 7, 2013Ray Chandler
204431939330193w01(28·103192-97)/3February 7, 2013Ray Chandler
204531937442974w29(67·103192-139)/9February 7, 2013Ray Chandler
204631921880918w09(17·103191-719)/9February 7, 2013Ray Chandler
204831913226732w67(29·103190+403)/9February 7, 2013Ray Chandler
205031888227182w71(74·103187+439)/9February 7, 2013Ray Chandler
20513188 50w995·103187+99February 7, 2013Ray Chandler
205231876880368w03(62·103186-773)/9February 7, 2013Ray Chandler
20533186 58w77(53·103185-107)/9February 7, 2013Ray Chandler
205431863443134w31(31·103185-121)/9February 7, 2013Ray Chandler
205531862004120w412·103185+41February 7, 2013Ray Chandler
205631855226752w67(47·103184+403)/9February 7, 2013Ray Chandler
205731843882738w27(35·103183-557)/9February 7, 2013Ray Chandler
205831832995129w513·103182-49February 7, 2013Ray Chandler
20603180 39w774·103179-23February 7, 2013Ray Chandler
206331793223732w37(29·103178+133)/9February 7, 2013Ray Chandler
206431792338123w81(7·103178+143)/3February 7, 2013Ray Chandler
206731771221312w13(11·103176-83)/9February 7, 2013Ray Chandler
206931751005710w57103174+57February 7, 2013Ray Chandler
207031739883798w37(89·103172-467)/9February 7, 2013Ray Chandler
207131736886968w69(62·103172-179)/9February 7, 2013Ray Chandler
207231736001360w136·103172+13February 7, 2013Ray Chandler
207331732557925w79(23·103172+211)/9February 7, 2013Ray Chandler
207431729337993w79(28·103171+137)/3February 7, 2013Ray Chandler
20753171 70w337·103170+33February 7, 2013Ray Chandler
207631696997369w737·103168-27February 7, 2013Ray Chandler
207731696448164w81(58·103168+329)/9February 7, 2013Ray Chandler
20803168 886w7(266·103166+1)/3February 7, 2013Ray Chandler
20813168 885w1(797·103166-41)/9February 7, 2013Ray Chandler
208231677335773w57(22·103166+71)/3February 7, 2013Ray Chandler
208331653660736w07(11·103164-179)/3February 7, 2013Ray Chandler
208531648228982w89(74·103163+601)/9February 7, 2013Ray Chandler
208731615338153w81(16·103160+143)/3February 7, 2013Ray Chandler
208931615002350w235·103160+23February 7, 2013Ray Chandler
209031606779167w91(61·103159+119)/9February 7, 2013Ray Chandler
209331596440164w01(58·103158-391)/9February 7, 2013Ray Chandler
209431589004790w479·103157+47February 7, 2013Ray Chandler
209531567440974w09(67·103155-319)/9February 7, 2013Ray Chandler
209631555441954w19(49·103154-229)/9February 7, 2013Ray Chandler
209731554993749w375·103154-63February 7, 2013Ray Chandler
209831554882748w27(44·103154-557)/9February 7, 2013Ray Chandler
210231525223152w31(47·103151+79)/9February 7, 2013Ray Chandler
21033151 29w773·103150-23February 7, 2013Ray Chandler
21043151 115w9(104·103149+31)/9February 7, 2013Ray Chandler
210531501442714w27(13·103149-157)/9February 7, 2013Ray Chandler
21063149 51w33(46·103148+197)/9February 7, 2013Ray Chandler
210831486116361w63(55·103147+467)/9February 7, 2013Ray Chandler
210931474881948w19(44·103146-629)/9February 7, 2013Ray Chandler
211031473226132w61(29·103146+349)/9February 7, 2013Ray Chandler
211131455220952w09(47·103144-119)/9February 7, 2013Ray Chandler
211231452446124w61(22·103144+149)/9February 7, 2013Ray Chandler
21133144 770w977·103142+9February 7, 2013Ray Chandler
211431447440774w07(67·103143-337)/9February 7, 2013Ray Chandler
21153144 665w7(599·103142+13)/9February 7, 2013Ray Chandler
211731411883118w31(17·103140-521)/9February 7, 2013Ray Chandler
211831408771387w13(79·103139-583)/9February 7, 2013Ray Chandler
211931396990769w077·103138-93February 7, 2013Ray Chandler
21203139 330w733·103137+7February 7, 2013Ray Chandler
212431339556395w63(86·103132+67)/9February 7, 2013Ray Chandler
212631331227112w71(11·103132+439)/9February 7, 2013Ray Chandler
212731326991769w177·103131-83February 7, 2013Ray Chandler
212931313661336w13(11·103130-161)/3February 7, 2013Ray Chandler
213031312997129w713·103130-29February 7, 2013Ray Chandler
21313130 65w33(59·103129-203)/9February 7, 2013Ray Chandler
213231288552985w29(77·103127-239)/9February 7, 2013Ray Chandler
213331263443134w31(31·103125-121)/9February 7, 2013Ray Chandler
21343126 334w7(301·103124+23)/9February 7, 2013Ray Chandler
213531242773127w31(25·103123-421)/9February 7, 2013Ray Chandler
213631239661996w19(29·103122-143)/3February 7, 2013Ray Chandler
213731238445784w57(76·103122+113)/9February 7, 2013Ray Chandler
21383123 556w1(167·103121-17)/3February 7, 2013Ray Chandler
213931235009350w935·103122+93February 7, 2013Ray Chandler
214431211007910w79103120+79February 7, 2013Ray Chandler
214531204775147w51(43·103119-241)/9February 7, 2013Ray Chandler
214731194225342w53(38·103118+277)/9February 7, 2013Ray Chandler
214831191660916w09(5·103118-173)/3February 7, 2013Ray Chandler
21493117 72w99(65·103116+691)/9February 7, 2013Ray Chandler
215031169778997w89(88·103115+101)/9February 7, 2013Ray Chandler
21513116 93w77(28·103115+131)/3February 7, 2013Ray Chandler
215331162550125w01(23·103115-491)/9February 7, 2013Ray Chandler
215431156882368w23(62·103114-593)/9February 7, 2013Ray Chandler
21573110 89w779·103109-23February 7, 2013Ray Chandler
215831108551785w17(77·103109-347)/9February 7, 2013Ray Chandler
215931106118761w87(55·103109+683)/9February 7, 2013Ray Chandler
216131094667946w79(14·103108+37)/3February 7, 2013Ray Chandler
216631006228762w87(56·103099+583)/9February 7, 2013Ray Chandler

February 5, 2013

Factorizations of 488...889 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

February 2, 2013

Factorizations of 955...553 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

January 2013

January 30, 2013

Ray Chandler certificated 1 quasi-repdigit prime number by Primo. Certifications are available.

Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
3113065 3w11(103065-67)/3January 30, 2013Ray Chandler

Factorizations of 944...441 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

January 29, 2013

Ray Chandler certificated 5 near-repdigit prime numbers, 39 quasi-repdigit prime numbers and 96 near-repdigit-related prime numbers by Primo. Certifications are available.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
4653085 9w4999999103085-5000001January 29, 2013Ray Chandler
4663049 9w599999103049-400001January 29, 2013Ray Chandler
4683037 9w1999999999103037-8000000001January 29, 2013Ray Chandler
469302175777757w(682·103019-7)/9January 29, 2013Ray Chandler
4723009 9w59999103009-40001January 29, 2013Ray Chandler
Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
295309967663676w3(203·103097-11)/3January 29, 2013Ray Chandler
296309897991979w198·103096-9January 29, 2013Ray Chandler
2973098666176w17(2·103098-149)/3January 29, 2013Ray Chandler
298309837339373w9(112·103096+17)/3January 29, 2013Ray Chandler
2993097111271w27(103097+143)/9January 29, 2013Ray Chandler
300309214117141w7(127·103090+53)/9January 29, 2013Ray Chandler
301308813119131w9(118·103086+71)/9January 29, 2013Ray Chandler
30230874666746w7(14·103086+1)/3January 29, 2013Ray Chandler
30330873888938w9(35·103086+1)/9January 29, 2013Ray Chandler
304308092333923w(277·103078-1)/3January 29, 2013Ray Chandler
305308019117191w7(172·103078+53)/9January 29, 2013Ray Chandler
3063079222492w49(2·103079+241)/9January 29, 2013Ray Chandler
3073077333493w49(103077+47)/3January 29, 2013Ray Chandler
30830744339343w93(13·103073+179)/3January 29, 2013Ray Chandler
31030674555345w3(41·103066-23)/9January 29, 2013Ray Chandler
31130615332353w23(16·103060-31)/3January 29, 2013Ray Chandler
312305776779767w9(691·103055+11)/9January 29, 2013Ray Chandler
31430486999169w17·103047-9January 29, 2013Ray Chandler
31630466111961w9(55·103045+71)/9January 29, 2013Ray Chandler
31730447994979w498·103043-51January 29, 2013Ray Chandler
31830394666746w7(14·103038+1)/3January 29, 2013Ray Chandler
3193036888038w03(8·103036-773)/9January 29, 2013Ray Chandler
320303628333283w(85·103034-1)/3January 29, 2013Ray Chandler
321303574773747w3(673·103033-43)/9January 29, 2013Ray Chandler
32230309111791w7(82·103029+53)/9January 29, 2013Ray Chandler
32330286110161w01(55·103027-91)/9January 29, 2013Ray Chandler
324302697111971w(874·103024-1)/9January 29, 2013Ray Chandler
3253026222892w89(2·103026+601)/9January 29, 2013Ray Chandler
326302595111951w(856·103023-1)/9January 29, 2013Ray Chandler
327302376333763w(229·103021-1)/3January 29, 2013Ray Chandler
32830225117151w71(46·103021+539)/9January 29, 2013Ray Chandler
329302152111521w(469·103019-1)/9January 29, 2013Ray Chandler
33030197666376w3(23·103018-11)/3January 29, 2013Ray Chandler
33130193772737w27(34·103018-457)/9January 29, 2013Ray Chandler
332301762669626w9(188·103015+7)/3January 29, 2013Ray Chandler
3343014888418w41(8·103014-431)/9January 29, 2013Ray Chandler
33530109333793w7(28·103009+11)/3January 29, 2013Ray Chandler
3363009444674w67(4·103009+203)/9January 29, 2013Ray Chandler
3373007666896w89(2·103007+67)/3January 29, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
207530979773997w39(88·103096-349)/9January 29, 2013Ray Chandler
20763097 71w33(64·103096+197)/9January 29, 2013Ray Chandler
207730971991319w132·103096-87January 29, 2013Ray Chandler
207830965668156w81(17·103095+43)/3January 29, 2013Ray Chandler
20793095 78w77(71·103094-107)/9January 29, 2013Ray Chandler
208030938115781w57(73·103092+413)/9January 29, 2013Ray Chandler
208130927663776w37(23·103091-89)/3January 29, 2013Ray Chandler
208230927556975w69(68·103091+121)/9January 29, 2013Ray Chandler
208330926006760w676·103091+67January 29, 2013Ray Chandler
208530918664186w41(26·103090-77)/3January 29, 2013Ray Chandler
208630906774167w41(61·103089-331)/9January 29, 2013Ray Chandler
20873089 557w1(502·103087-61)/9January 29, 2013Ray Chandler
208830894779147w91(43·103088+119)/9January 29, 2013Ray Chandler
208930871550915w09(14·103086-419)/9January 29, 2013Ray Chandler
20903086 92w33(83·103085+97)/9January 29, 2013Ray Chandler
209130856880368w03(62·103084-773)/9January 29, 2013Ray Chandler
209230841883118w31(17·103083-521)/9January 29, 2013Ray Chandler
209330841441314w13(13·103083-283)/9January 29, 2013Ray Chandler
209430837662176w21(23·103082-137)/3January 29, 2013Ray Chandler
209530833880938w09(35·103082-719)/9January 29, 2013Ray Chandler
209630823667336w73(11·103081+19)/3January 29, 2013Ray Chandler
209730817663976w39(23·103080-83)/3January 29, 2013Ray Chandler
209930806442364w23(58·103079-193)/9January 29, 2013Ray Chandler
210230777008770w877·103076+87January 29, 2013Ray Chandler
21033077 551w7(496·103075+53)/9January 29, 2013Ray Chandler
210630764994349w435·103075-57January 29, 2013Ray Chandler
210930742668126w81(8·103073+43)/3January 29, 2013Ray Chandler
211030737009370w937·103072+93January 29, 2013Ray Chandler
211130735330953w09(16·103072-73)/3January 29, 2013Ray Chandler
211230729881798w17(89·103071-647)/9January 29, 2013Ray Chandler
211430725778357w83(52·103071+47)/9January 29, 2013Ray Chandler
21153069 771w3(694·103067+17)/9January 29, 2013Ray Chandler
211630665224152w41(47·103065+169)/9January 29, 2013Ray Chandler
211730655882958w29(53·103064-539)/9January 29, 2013Ray Chandler
212030613445734w57(31·103060+113)/9January 29, 2013Ray Chandler
212230601552115w21(14·103059-311)/9January 29, 2013Ray Chandler
21233059 97w33(88·103058-403)/9January 29, 2013Ray Chandler
212430593114731w47(28·103058+323)/9January 29, 2013Ray Chandler
212530592886728w67(26·103058-197)/9January 29, 2013Ray Chandler
212630579330193w01(28·103056-97)/3January 29, 2013Ray Chandler
21273057 54w99(49·103056+491)/9January 29, 2013Ray Chandler
212830574117941w79(37·103056+611)/9January 29, 2013Ray Chandler
212930566004160w416·103055+41January 29, 2013Ray Chandler
213030563554935w49(32·103055-59)/9January 29, 2013Ray Chandler
213230546117961w79(55·103053+611)/9January 29, 2013Ray Chandler
21333054 558w9(503·103052+1)/9January 29, 2013Ray Chandler
213430543557135w71(32·103053+139)/9January 29, 2013Ray Chandler
21363053 32w33(29·103052+97)/9January 29, 2013Ray Chandler
213730532441924w19(22·103052-229)/9January 29, 2013Ray Chandler
213830525448354w83(49·103051+347)/9January 29, 2013Ray Chandler
213930516116761w67(55·103050+503)/9January 29, 2013Ray Chandler
214030507883978w39(71·103049-449)/9January 29, 2013Ray Chandler
214230484002140w214·103047+21January 29, 2013Ray Chandler
214330476550365w03(59·103046-473)/9January 29, 2013Ray Chandler
214430468662986w29(26·103045-113)/3January 29, 2013Ray Chandler
214630457446974w69(67·103044+221)/9January 29, 2013Ray Chandler
214730454553945w39(41·103044-149)/9January 29, 2013Ray Chandler
21493042 29w333·103041-67January 29, 2013Ray Chandler
215130418556785w67(77·103040+103)/9January 29, 2013Ray Chandler
215230392337123w71(7·103038+113)/3January 29, 2013Ray Chandler
215330389339193w91(28·103037+173)/3January 29, 2013Ray Chandler
215430375226752w67(47·103036+403)/9January 29, 2013Ray Chandler
215530371660116w01(5·103036-197)/3January 29, 2013Ray Chandler
21563036 28w11(26·103035-701)/9January 29, 2013Ray Chandler
215930349664996w49(29·103033-53)/3January 29, 2013Ray Chandler
216130336556765w67(59·103032+103)/9January 29, 2013Ray Chandler
216430317338773w87(22·103030+161)/3January 29, 2013Ray Chandler
216530309779197w91(88·103029+119)/9January 29, 2013Ray Chandler
216630308776387w63(79·103029-133)/9January 29, 2013Ray Chandler
216730298551785w17(77·103028-347)/9January 29, 2013Ray Chandler
216830294884748w47(44·103028-377)/9January 29, 2013Ray Chandler
217130287448974w89(67·103027+401)/9January 29, 2013Ray Chandler
217230276775967w59(61·103026-169)/9January 29, 2013Ray Chandler
217330273884738w47(35·103026-377)/9January 29, 2013Ray Chandler
217730242442324w23(22·103023-193)/9January 29, 2013Ray Chandler
217830235998759w876·103022-13January 29, 2013Ray Chandler
217930234336743w67(13·103022+101)/3January 29, 2013Ray Chandler
218030217220972w09(65·103020-119)/9January 29, 2013Ray Chandler
218130216226762w67(56·103020+403)/9January 29, 2013Ray Chandler
218230214886348w63(44·103020-233)/9January 29, 2013Ray Chandler
218430209552195w21(86·103019-311)/9January 29, 2013Ray Chandler
218530188668386w83(26·103017+49)/3January 29, 2013Ray Chandler
218730175117351w73(46·103016+557)/9January 29, 2013Ray Chandler
218930161883118w31(17·103015-521)/9January 29, 2013Ray Chandler
219030155994759w476·103014-53January 29, 2013Ray Chandler
219130155882158w21(53·103014-611)/9January 29, 2013Ray Chandler
219230151550715w07(14·103014-437)/9January 29, 2013Ray Chandler
219430121883118w31(17·103011-521)/9January 29, 2013Ray Chandler
219530113448134w81(31·103010+329)/9January 29, 2013Ray Chandler
219730105442954w29(49·103009-139)/9January 29, 2013Ray Chandler
219830102881928w19(26·103009-629)/9January 29, 2013Ray Chandler
220030098553985w39(77·103008-149)/9January 29, 2013Ray Chandler
220130096779167w91(61·103008+119)/9January 29, 2013Ray Chandler
220930075992159w216·103006-79January 29, 2013Ray Chandler
221030058221382w13(74·103004-83)/9January 29, 2013Ray Chandler
22113005 115w1(104·103003-41)/9January 29, 2013Ray Chandler

January 27, 2013

Factorizations of 922...229 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

January 22, 2013

Factorizations of 922...227 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

January 19, 2013

Factorizations of 899...993 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

January 18, 2013

Ray Chandler proved the primality of a 7200-digit prime number Phi(18910,10) by Primo. Certification is available.

January 17, 2013

Ray Chandler proved the primality of a 3010-digit prime number Phi(6022,10) by Primo. Certification is available.

January 16, 2013

Factorizations of 822...227 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

January 15, 2013

Ray Chandler proved the primality of a 6301-digit prime number Phi(14714,10) by Primo. Certification is available.

January 13, 2013

Factorizations of 788...883 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

January 12, 2013

Ray Chandler certificated 8 near-repdigit prime numbers, 46 quasi-repdigit prime numbers and 118 near-repdigit-related prime numbers by Primo. Certifications are available.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
4712971111811w81(102971+629)/9January 12, 2013Ray Chandler
4732960111311w31(102960+179)/9January 12, 2013Ray Chandler
4752954 9w299999999102954-700000001January 12, 2013Ray Chandler
4772950 9w29999102950-70001January 12, 2013Ray Chandler
4782939 9w899999999102939-100000001January 12, 2013Ray Chandler
479293634333343w(103·102934-1)/3January 12, 2013Ray Chandler
4812912 9w1999102912-8001January 12, 2013Ray Chandler
4842900 9w29999999102900-70000001January 12, 2013Ray Chandler
Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
299299396997969w797·102991-3January 12, 2013Ray Chandler
3012983777237w23(7·102983-493)/9January 12, 2013Ray Chandler
30229836118161w81(55·102982+629)/9January 12, 2013Ray Chandler
3032980666916w91(2·102980+73)/3January 12, 2013Ray Chandler
30429806119161w91(55·102979+719)/9January 12, 2013Ray Chandler
3052979888598w59(8·102979-269)/9January 12, 2013Ray Chandler
3062978444294w29(4·102978-139)/9January 12, 2013Ray Chandler
308297712113121w3(109·102975+17)/9January 12, 2013Ray Chandler
310297483881838w1(755·102972-71)/9January 12, 2013Ray Chandler
311297172773727w3(655·102969-43)/9January 12, 2013Ray Chandler
312297136337363w7(109·102969+11)/3January 12, 2013Ray Chandler
31329712555725w7(23·102970+13)/9January 12, 2013Ray Chandler
316296719117191w7(172·102965+53)/9January 12, 2013Ray Chandler
31729658998989w899·102964-11January 12, 2013Ray Chandler
318296196991969w197·102959-9January 12, 2013Ray Chandler
32129602115121w51(19·102959+359)/9January 12, 2013Ray Chandler
32229597666376w3(23·102958-11)/3January 12, 2013Ray Chandler
323295976333763w(229·102957-1)/3January 12, 2013Ray Chandler
3242959666896w89(2·102959+67)/3January 12, 2013Ray Chandler
325295962669626w9(188·102957+7)/3January 12, 2013Ray Chandler
326295953551535w1(482·102957-41)/9January 12, 2013Ray Chandler
32729575222952w9(47·102956+61)/9January 12, 2013Ray Chandler
32829566773767w37(61·102955-367)/9January 12, 2013Ray Chandler
329295546447464w7(418·102953+23)/9January 12, 2013Ray Chandler
330295335111351w(316·102951-1)/9January 12, 2013Ray Chandler
331295258111581w(523·102950-1)/9January 12, 2013Ray Chandler
3322947 1w77(102947+593)/9January 12, 2013Ray Chandler
3332945888538w53(8·102945-323)/9January 12, 2013Ray Chandler
334294560661606w1(182·102943-17)/3January 12, 2013Ray Chandler
33529444990949w095·102943-91January 12, 2013Ray Chandler
3362943333673w67(102943+101)/3January 12, 2013Ray Chandler
337294251551515w1(464·102940-41)/9January 12, 2013Ray Chandler
3392939333493w49(102939+47)/3January 12, 2013Ray Chandler
34029391776717w67(16·102938-97)/9January 12, 2013Ray Chandler
34129308116181w61(73·102929+449)/9January 12, 2013Ray Chandler
343292724221242w1(218·102925-11)/9January 12, 2013Ray Chandler
34429254666346w3(14·102924-11)/3January 12, 2013Ray Chandler
345292420111201w(181·102922-1)/9January 12, 2013Ray Chandler
34629199334393w43(28·102918+29)/3January 12, 2013Ray Chandler
348291610119101w9(91·102914+71)/9January 12, 2013Ray Chandler
350291519777197w(178·102913-7)/9January 12, 2013Ray Chandler
35129128996989w699·102911-31January 12, 2013Ray Chandler
3522911666896w89(2·102911+67)/3January 12, 2013Ray Chandler
353290946447464w7(418·102907+23)/9January 12, 2013Ray Chandler
354290695777957w(862·102904-7)/9January 12, 2013Ray Chandler
3552902555075w07(5·102902-437)/9January 12, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
211329999337193w71(28·102998+113)/3January 12, 2013Ray Chandler
211429987669776w97(23·102997+91)/3January 12, 2013Ray Chandler
21162997 331w7(298·102995+53)/9January 12, 2013Ray Chandler
21182996 772w1(695·102994-11)/9January 12, 2013Ray Chandler
211929965441354w13(49·102995-283)/9January 12, 2013Ray Chandler
212029932114921w49(19·102992+341)/9January 12, 2013Ray Chandler
212129919774197w41(88·102990-331)/9January 12, 2013Ray Chandler
212429883004930w493·102987+49January 12, 2013Ray Chandler
212529875440154w01(49·102986-391)/9January 12, 2013Ray Chandler
212729867991379w138·102985-87January 12, 2013Ray Chandler
212829867118771w87(64·102985+683)/9January 12, 2013Ray Chandler
212929861003110w31102985+31January 12, 2013Ray Chandler
213029843994339w434·102983-57January 12, 2013Ray Chandler
213129834551345w13(41·102982-383)/9January 12, 2013Ray Chandler
213229834550145w01(41·102982-491)/9January 12, 2013Ray Chandler
213329815112751w27(46·102980+143)/9January 12, 2013Ray Chandler
213429812553725w37(23·102980-167)/9January 12, 2013Ray Chandler
213529807882978w29(71·102979-539)/9January 12, 2013Ray Chandler
213729789661796w17(29·102977-149)/3January 12, 2013Ray Chandler
213829753553135w31(32·102974-221)/9January 12, 2013Ray Chandler
213929753227332w73(29·102974+457)/9January 12, 2013Ray Chandler
214129743994739w474·102973-53January 12, 2013Ray Chandler
214229737997379w738·102972-27January 12, 2013Ray Chandler
214329731551315w13(14·102972-383)/9January 12, 2013Ray Chandler
214429731330113w01(4·102972-97)/3January 12, 2013Ray Chandler
214529731224912w49(11·102972+241)/9January 12, 2013Ray Chandler
214629727338773w87(22·102971+161)/3January 12, 2013Ray Chandler
214729718998189w819·102970-19January 12, 2013Ray Chandler
214829706334963w49(19·102969+47)/3January 12, 2013Ray Chandler
214929698221782w17(74·102968-47)/9January 12, 2013Ray Chandler
215129693663736w37(11·102968-89)/3January 12, 2013Ray Chandler
215229688550785w07(77·102967-437)/9January 12, 2013Ray Chandler
215329668556785w67(77·102965+103)/9January 12, 2013Ray Chandler
215429667228172w81(65·102965+529)/9January 12, 2013Ray Chandler
215629635225352w53(47·102962+277)/9January 12, 2013Ray Chandler
215729634113741w37(37·102962+233)/9January 12, 2013Ray Chandler
21582963 118w7(107·102961-17)/9January 12, 2013Ray Chandler
215929609880798w07(89·102959-737)/9January 12, 2013Ray Chandler
216029594551345w13(41·102958-383)/9January 12, 2013Ray Chandler
216129593001730w173·102958+17January 12, 2013Ray Chandler
216529565669356w93(17·102955+79)/3January 12, 2013Ray Chandler
216729562008120w812·102955+81January 12, 2013Ray Chandler
216829558445984w59(76·102954+131)/9January 12, 2013Ray Chandler
217029549226992w69(83·102953+421)/9January 12, 2013Ray Chandler
217129546886168w61(62·102953-251)/9January 12, 2013Ray Chandler
217229535005950w595·102952+59January 12, 2013Ray Chandler
21742952 998w7(899·102950-17)/9January 12, 2013Ray Chandler
21752952 89w119·102951-89January 12, 2013Ray Chandler
217629522550925w09(23·102951-419)/9January 12, 2013Ray Chandler
217829501990719w072·102949-93January 12, 2013Ray Chandler
218029468112781w27(73·102945+143)/9January 12, 2013Ray Chandler
218229457339173w91(22·102944+173)/3January 12, 2013Ray Chandler
21842944 887w3(799·102942-43)/9January 12, 2013Ray Chandler
21852944 85w99(77·102943+391)/9January 12, 2013Ray Chandler
218629446228762w87(56·102943+583)/9January 12, 2013Ray Chandler
21872944 20w992·102943+99January 12, 2013Ray Chandler
218829439447194w71(85·102942+239)/9January 12, 2013Ray Chandler
218929434113741w37(37·102942+233)/9January 12, 2013Ray Chandler
219029433220732w07(29·102942-137)/9January 12, 2013Ray Chandler
219129418998789w879·102940-13January 12, 2013Ray Chandler
219229399440394w03(85·102938-373)/9January 12, 2013Ray Chandler
219329395773157w31(52·102938-421)/9January 12, 2013Ray Chandler
219429394880948w09(44·102938-719)/9January 12, 2013Ray Chandler
219529388664786w47(26·102937-59)/3January 12, 2013Ray Chandler
219729378002980w298·102936+29January 12, 2013Ray Chandler
219929362005120w512·102935+51January 12, 2013Ray Chandler
220029357007970w797·102934+79January 12, 2013Ray Chandler
220129353007930w793·102934+79January 12, 2013Ray Chandler
22032935 110w911·102933+9January 12, 2013Ray Chandler
220429347552775w27(68·102933-257)/9January 12, 2013Ray Chandler
220529347229772w97(65·102933+673)/9January 12, 2013Ray Chandler
22062933 74w11(67·102932-301)/9January 12, 2013Ray Chandler
220829324008740w874·102931+87January 12, 2013Ray Chandler
22092931 663w1(199·102929-7)/3January 12, 2013Ray Chandler
22102931 558w7(503·102929-17)/9January 12, 2013Ray Chandler
221129302883728w37(26·102929-467)/9January 12, 2013Ray Chandler
221229302003920w392·102929+39January 12, 2013Ray Chandler
22132929 992w3(893·102927+7)/9January 12, 2013Ray Chandler
221429282880328w03(26·102927-773)/9January 12, 2013Ray Chandler
221629268114981w49(73·102925+341)/9January 12, 2013Ray Chandler
221729249883198w31(89·102923-521)/9January 12, 2013Ray Chandler
221829248115781w57(73·102923+413)/9January 12, 2013Ray Chandler
221929231330713w07(4·102922-79)/3January 12, 2013Ray Chandler
22202922 994w7(895·102920+23)/9January 12, 2013Ray Chandler
222129229660196w01(29·102921-197)/3January 12, 2013Ray Chandler
222229229332993w29(28·102921-13)/3January 12, 2013Ray Chandler
222329219005390w539·102920+53January 12, 2013Ray Chandler
22242921 20w772·102920+77January 12, 2013Ray Chandler
222529211996319w632·102920-37January 12, 2013Ray Chandler
222629205448354w83(49·102919+347)/9January 12, 2013Ray Chandler
222729204001340w134·102919+13January 12, 2013Ray Chandler
222929192773927w39(25·102918-349)/9January 12, 2013Ray Chandler
223129183880938w09(35·102917-719)/9January 12, 2013Ray Chandler
223329177557975w79(68·102916+211)/9January 12, 2013Ray Chandler
223429177337973w79(22·102916+137)/3January 12, 2013Ray Chandler
223529173448734w87(31·102916+383)/9January 12, 2013Ray Chandler
223629167996379w638·102915-37January 12, 2013Ray Chandler
223729166441964w19(58·102915-229)/9January 12, 2013Ray Chandler
223829165334153w41(16·102915+23)/3January 12, 2013Ray Chandler
223929164330943w09(13·102915-73)/3January 12, 2013Ray Chandler
224029162002720w272·102915+27January 12, 2013Ray Chandler
224229154225742w57(38·102914+313)/9January 12, 2013Ray Chandler
224329149330193w01(28·102913-97)/3January 12, 2013Ray Chandler
224429139662996w29(29·102912-113)/3January 12, 2013Ray Chandler
224529127003170w317·102911+31January 12, 2013Ray Chandler
22462912 29w113·102911-89January 12, 2013Ray Chandler
224729102991729w173·102909-83January 12, 2013Ray Chandler
224829093229332w93(29·102908+637)/9January 12, 2013Ray Chandler
224929092991729w173·102908-83January 12, 2013Ray Chandler
225129086886368w63(62·102907-233)/9January 12, 2013Ray Chandler
22522907 332w7(299·102905+43)/9January 12, 2013Ray Chandler
225329066007160w716·102905+71January 12, 2013Ray Chandler
225629061228912w89(11·102905+601)/9January 12, 2013Ray Chandler
22572905 885w7(797·102903+13)/9January 12, 2013Ray Chandler
225829032884128w41(26·102902-431)/9January 12, 2013Ray Chandler
225929022771927w19(25·102901-529)/9January 12, 2013Ray Chandler
226129009665396w53(29·102899-41)/3January 12, 2013Ray Chandler
226229001005110w51102899+51January 12, 2013Ray Chandler

January 10, 2012

Factorizations of 755...553 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

January 7, 2012

Darren Bedwell found the largest known near-repdigit palindrome prime number. It's also the largest known palindrome prime number. Congratulations!

Proven near-repdigit-palindrome primes
 digitsflabelwlabelexpressionwhenwho
1314727991999w19w10314727-8·10157363-1January 7, 2013Darren Bedwell

Factorizations of 744...447 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

January 5, 2013

Ray Chandler certificated 4 near-repdigit prime numbers, 34 quasi-repdigit prime numbers and 106 near-repdigit-related prime numbers by Primo. Certifications are available.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
477289375777757w(682·102891-7)/9January 5, 2013Ray Chandler
4792871 9w599999102871-400001January 5, 2013Ray Chandler
4812836 9w1999102836-8001January 5, 2013Ray Chandler
4822820 9w49999999999102820-50000000001January 5, 2013Ray Chandler
Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
308289983111831w(748·102897-1)/9January 5, 2013Ray Chandler
3102896555075w07(5·102896-437)/9January 5, 2013Ray Chandler
311289145443454w3(409·102889-13)/9January 5, 2013Ray Chandler
31228912777327w3(25·102890-43)/9January 5, 2013Ray Chandler
313288946447464w7(418·102887+23)/9January 5, 2013Ray Chandler
315288670771707w1(637·102884-61)/9January 5, 2013Ray Chandler
31628864555745w7(41·102885+13)/9January 5, 2013Ray Chandler
31728863222932w9(29·102885+61)/9January 5, 2013Ray Chandler
319287892993929w393·102876-7January 5, 2013Ray Chandler
32028773116131w61(28·102876+449)/9January 5, 2013Ray Chandler
3212876888238w23(8·102876-593)/9January 5, 2013Ray Chandler
3222876666976w97(2·102876+91)/3January 5, 2013Ray Chandler
323287636337363w7(109·102874+11)/3January 5, 2013Ray Chandler
32428743111731w7(28·102873+53)/9January 5, 2013Ray Chandler
325287048443484w3(436·102868-13)/9January 5, 2013Ray Chandler
32628696999769w77·102868-3January 5, 2013Ray Chandler
3282859777697w69(7·102859-79)/9January 5, 2013Ray Chandler
32928551888318w3(17·102854-53)/9January 5, 2013Ray Chandler
331285236337363w7(109·102850+11)/3January 5, 2013Ray Chandler
332284970333703w(211·102847-1)/3January 5, 2013Ray Chandler
3332849666416w41(2·102849-77)/3January 5, 2013Ray Chandler
334284858551585w1(527·102846-41)/9January 5, 2013Ray Chandler
33628479776797w67(88·102846-97)/9January 5, 2013Ray Chandler
337284716117161w7(145·102845+53)/9January 5, 2013Ray Chandler
33928294112141w21(37·102828+89)/9January 5, 2013Ray Chandler
340282583777837w(754·102823-7)/9January 5, 2013Ray Chandler
34128233666736w7(11·102822+1)/3January 5, 2013Ray Chandler
34428147336373w63(22·102813+89)/3January 5, 2013Ray Chandler
345281296997969w797·102810-3January 5, 2013Ray Chandler
346281182889828w9(746·102809+1)/9January 5, 2013Ray Chandler
34728056555365w3(59·102804-23)/9January 5, 2013Ray Chandler
3492803444094w09(4·102803-319)/9January 5, 2013Ray Chandler
3502803111931w93(102803+737)/9January 5, 2013Ray Chandler
35128026776767w67(61·102801-97)/9January 5, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
21452899 550w755·102897+7January 5, 2013Ray Chandler
214628994551945w19(41·102898-329)/9January 5, 2013Ray Chandler
21472899 442w7(398·102897+43)/9January 5, 2013Ray Chandler
214928985669356w93(17·102897+79)/3January 5, 2013Ray Chandler
21502897 78w77(71·102896-107)/9January 5, 2013Ray Chandler
215128974668146w81(14·102896+43)/3January 5, 2013Ray Chandler
215228961557115w71(14·102895+139)/9January 5, 2013Ray Chandler
215428957007970w797·102894+79January 5, 2013Ray Chandler
215528934778347w83(43·102892+47)/9January 5, 2013Ray Chandler
215928902998729w873·102889-13January 5, 2013Ray Chandler
21602889 28w77(26·102888-107)/9January 5, 2013Ray Chandler
21642887 65w99(59·102886+391)/9January 5, 2013Ray Chandler
21662885 85w11(77·102884-401)/9January 5, 2013Ray Chandler
216728846556365w63(59·102883+67)/9January 5, 2013Ray Chandler
21682884 24w11(22·102883-301)/9January 5, 2013Ray Chandler
216928815665756w57(17·102880-29)/3January 5, 2013Ray Chandler
21702881 336w1(101·102879-17)/3January 5, 2013Ray Chandler
217128808668786w87(26·102879+61)/3January 5, 2013Ray Chandler
217228799664396w43(29·102878-71)/3January 5, 2013Ray Chandler
217328793887338w73(35·102878-143)/9January 5, 2013Ray Chandler
217528784002140w214·102877+21January 5, 2013Ray Chandler
217628782883128w31(26·102877-521)/9January 5, 2013Ray Chandler
217728781884718w47(17·102877-377)/9January 5, 2013Ray Chandler
217828775889358w93(53·102876+37)/9January 5, 2013Ray Chandler
217928767994379w438·102875-57January 5, 2013Ray Chandler
218028765334153w41(16·102875+23)/3January 5, 2013Ray Chandler
218228741881318w13(17·102873-683)/9January 5, 2013Ray Chandler
218328739667396w73(29·102872+19)/3January 5, 2013Ray Chandler
218428739558195w81(86·102872+229)/9January 5, 2013Ray Chandler
218528737440174w01(67·102872-391)/9January 5, 2013Ray Chandler
218728735771357w13(52·102872-583)/9January 5, 2013Ray Chandler
218828724660346w03(14·102871-191)/3January 5, 2013Ray Chandler
219128718558385w83(77·102870+247)/9January 5, 2013Ray Chandler
219228699885998w59(89·102868-269)/9January 5, 2013Ray Chandler
219328697110971w09(64·102868-19)/9January 5, 2013Ray Chandler
219428692559125w91(23·102868+319)/9January 5, 2013Ray Chandler
219528689665996w59(29·102867-23)/3January 5, 2013Ray Chandler
219628677448974w89(67·102866+401)/9January 5, 2013Ray Chandler
219728664226142w61(38·102865+349)/9January 5, 2013Ray Chandler
219828655882158w21(53·102864-611)/9January 5, 2013Ray Chandler
219928645441954w19(49·102863-229)/9January 5, 2013Ray Chandler
220028643002330w233·102863+23January 5, 2013Ray Chandler
220528599118391w83(82·102858+647)/9January 5, 2013Ray Chandler
220728593009730w973·102858+97January 5, 2013Ray Chandler
220828591559715w97(14·102858+373)/9January 5, 2013Ray Chandler
221028569774197w41(88·102855-331)/9January 5, 2013Ray Chandler
221128542661726w17(8·102853-149)/3January 5, 2013Ray Chandler
221228538556385w63(77·102852+67)/9January 5, 2013Ray Chandler
221328538440984w09(76·102852-319)/9January 5, 2013Ray Chandler
221428537446174w61(67·102852+149)/9January 5, 2013Ray Chandler
221528536226162w61(56·102852+349)/9January 5, 2013Ray Chandler
221628523556735w67(32·102851+103)/9January 5, 2013Ray Chandler
221728523226932w69(29·102851+421)/9January 5, 2013Ray Chandler
221828517669176w91(23·102850+73)/3January 5, 2013Ray Chandler
221928512002720w272·102850+27January 5, 2013Ray Chandler
22212849 995w3(896·102847-23)/9January 5, 2013Ray Chandler
222228494336743w67(13·102848+101)/3January 5, 2013Ray Chandler
222328493880738w07(35·102848-737)/9January 5, 2013Ray Chandler
222428493007330w733·102848+73January 5, 2013Ray Chandler
222628492008920w892·102848+89January 5, 2013Ray Chandler
222728484118341w83(37·102847+647)/9January 5, 2013Ray Chandler
22282846 885w3(797·102844-23)/9January 5, 2013Ray Chandler
222928468446784w67(76·102845+203)/9January 5, 2013Ray Chandler
223128422884328w43(26·102841-413)/9January 5, 2013Ray Chandler
223228422447324w73(22·102841+257)/9January 5, 2013Ray Chandler
223328417220972w09(65·102840-119)/9January 5, 2013Ray Chandler
223428416229762w97(56·102840+673)/9January 5, 2013Ray Chandler
223728383889138w91(35·102837+19)/9January 5, 2013Ray Chandler
22382838 20w772·102837+77January 5, 2013Ray Chandler
223928369225992w59(83·102835+331)/9January 5, 2013Ray Chandler
224028362334123w41(7·102835+23)/3January 5, 2013Ray Chandler
224128344003940w394·102833+39January 5, 2013Ray Chandler
22422833 93w77(28·102832+131)/3January 5, 2013Ray Chandler
224328335447154w71(49·102832+239)/9January 5, 2013Ray Chandler
224828305665956w59(17·102829-23)/3January 5, 2013Ray Chandler
224928264889348w93(44·102825+37)/9January 5, 2013Ray Chandler
225028261881318w13(17·102825-683)/9January 5, 2013Ray Chandler
225128249776997w69(88·102823-79)/9January 5, 2013Ray Chandler
225228228662386w23(26·102821-131)/3January 5, 2013Ray Chandler
225328225110751w07(46·102821-37)/9January 5, 2013Ray Chandler
225428216558965w89(59·102820+301)/9January 5, 2013Ray Chandler
225528215442954w29(49·102820-139)/9January 5, 2013Ray Chandler
225628215221952w19(47·102820-29)/9January 5, 2013Ray Chandler
22572821 220w722·102819+7January 5, 2013Ray Chandler
225828205448754w87(49·102819+383)/9January 5, 2013Ray Chandler
225928201220912w09(11·102819-119)/9January 5, 2013Ray Chandler
226028198225382w53(74·102818+277)/9January 5, 2013Ray Chandler
226128179229192w91(83·102816+619)/9January 5, 2013Ray Chandler
226228173006130w613·102816+61January 5, 2013Ray Chandler
226328164778347w83(43·102815+47)/9January 5, 2013Ray Chandler
22642816 15w11(14·102815-401)/9January 5, 2013Ray Chandler
226528159116991w69(82·102814+521)/9January 5, 2013Ray Chandler
226628156993169w317·102814-69January 5, 2013Ray Chandler
226828149448394w83(85·102813+347)/9January 5, 2013Ray Chandler
22692814 228w3(206·102812-53)/9January 5, 2013Ray Chandler
22702813 53w99(16·102812+197)/3January 5, 2013Ray Chandler
22712812 997w3(898·102810-43)/9January 5, 2013Ray Chandler
227428083558335w83(32·102807+247)/9January 5, 2013Ray Chandler
22752808 28w77(26·102807-107)/9January 5, 2013Ray Chandler
227628073668336w83(11·102806+49)/3January 5, 2013Ray Chandler
227728071774917w49(16·102806-259)/9January 5, 2013Ray Chandler
227828061557115w71(14·102805+139)/9January 5, 2013Ray Chandler
227928057225172w51(65·102804+259)/9January 5, 2013Ray Chandler
228228045338753w87(16·102803+161)/3January 5, 2013Ray Chandler
22832803 889w389·102801-7January 5, 2013Ray Chandler
228528024551345w13(41·102801-383)/9January 5, 2013Ray Chandler

January 4, 2012

Factorizations of 311...11 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 1030.

January 1, 2013

Ray Chandler certificated 7 near-repdigit prime numbers, 43 quasi-repdigit prime numbers and 121 near-repdigit-related prime numbers by Primo. Certifications are available.

Proven near-repdigit primes
 digitsflabelwlabelexpressionwhenwho
4832799 9w1999102799-8001January 1, 2013Ray Chandler
485279379777797w(718·102791-7)/9January 1, 2013Ray Chandler
488278779777797w(718·102785-7)/9January 1, 2013Ray Chandler
4902775333133w13(102775-61)/3January 1, 2013Ray Chandler
4922772333233w23(102772-31)/3January 1, 2013Ray Chandler
4982715 9w5999102715-4001January 1, 2013Ray Chandler
4992712777677w67(7·102712-97)/9January 1, 2013Ray Chandler
Proven quasi-repdigit primes (except pd)
 digitsflabelwlabelexpressionwhenwho
316279595993959w396·102793-7January 1, 2013Ray Chandler
317279280777807w(727·102790-7)/9January 1, 2013Ray Chandler
31927891770717w07(16·102788-637)/9January 1, 2013Ray Chandler
32027888117181w71(73·102787+539)/9January 1, 2013Ray Chandler
3212787888218w21(8·102787-611)/9January 1, 2013Ray Chandler
32227876444764w7(58·102786+23)/9January 1, 2013Ray Chandler
3232787444014w01(4·102787-391)/9January 1, 2013Ray Chandler
32427834999149w15·102782-9January 1, 2013Ray Chandler
325278321227212w7(191·102781+43)/9January 1, 2013Ray Chandler
326277810777107w(97·102776-7)/9January 1, 2013Ray Chandler
3272776444934w93(4·102776+437)/9January 1, 2013Ray Chandler
328277516333163w(49·102773-1)/3January 1, 2013Ray Chandler
329276813117131w7(118·102766+53)/9January 1, 2013Ray Chandler
331276625221252w1(227·102764-11)/9January 1, 2013Ray Chandler
3322762555715w71(5·102762+139)/9January 1, 2013Ray Chandler
334275949333493w(148·102757-1)/3January 1, 2013Ray Chandler
335275925111251w(226·102757-1)/9January 1, 2013Ray Chandler
336275743449434w9(391·102755+41)/9January 1, 2013Ray Chandler
33727562666326w3(8·102755-11)/3January 1, 2013Ray Chandler
339275028223282w3(254·102748+7)/9January 1, 2013Ray Chandler
340274665777657w(592·102744-7)/9January 1, 2013Ray Chandler
3412746111891w89(102746+701)/9January 1, 2013Ray Chandler
34227453779737w97(34·102744+173)/9January 1, 2013Ray Chandler
344274141777417w(376·102739-7)/9January 1, 2013Ray Chandler
345273676779767w9(691·102734+11)/9January 1, 2013Ray Chandler
34727349118191w81(82·102733+629)/9January 1, 2013Ray Chandler
349273285777857w(772·102730-7)/9January 1, 2013Ray Chandler
35127284331343w13(13·102727-61)/3January 1, 2013Ray Chandler
352272816113161w3(145·102726+17)/9January 1, 2013Ray Chandler
35327265888958w9(53·102725+1)/9January 1, 2013Ray Chandler
354272634337343w7(103·102724+11)/3January 1, 2013Ray Chandler
3552724111871w87(102724+683)/9January 1, 2013Ray Chandler
356272346447464w7(418·102721+23)/9January 1, 2013Ray Chandler
35827188112181w21(73·102717+89)/9January 1, 2013Ray Chandler
359271797991979w198·102715-9January 1, 2013Ray Chandler
360271785333853w(256·102715-1)/3January 1, 2013Ray Chandler
361271686883868w3(782·102714-53)/9January 1, 2013Ray Chandler
362271552557525w7(473·102713+13)/9January 1, 2013Ray Chandler
3632712555235w23(5·102712-293)/9January 1, 2013Ray Chandler
364271219117191w7(172·102710+53)/9January 1, 2013Ray Chandler
3662709777617w61(7·102709-151)/9January 1, 2013Ray Chandler
3672708888478w47(8·102708-377)/9January 1, 2013Ray Chandler
3682706444874w87(4·102706+383)/9January 1, 2013Ray Chandler
Proven near-repdigit-related primes (except ru/nr/pd/qr)
 digitsflabelwlabelexpressionwhenwho
217627996001360w136·102798+13January 1, 2013Ray Chandler
217727993667336w73(11·102798+19)/3January 1, 2013Ray Chandler
217827991443914w39(13·102798-49)/9January 1, 2013Ray Chandler
217927985114951w49(46·102797+341)/9January 1, 2013Ray Chandler
218027984220342w03(38·102797-173)/9January 1, 2013Ray Chandler
218127977887978w79(71·102796-89)/9January 1, 2013Ray Chandler
218227971228312w83(11·102796+547)/9January 1, 2013Ray Chandler
218427954887148w71(44·102794-161)/9January 1, 2013Ray Chandler
218527951440714w07(13·102794-337)/9January 1, 2013Ray Chandler
218627936447364w73(58·102792+257)/9January 1, 2013Ray Chandler
218727922118721w87(19·102791+683)/9January 1, 2013Ray Chandler
218927915338753w87(16·102790+161)/3January 1, 2013Ray Chandler
21912790 228w9(206·102788+1)/9January 1, 2013Ray Chandler
21922789 880w388·102787+3January 1, 2013Ray Chandler
21932788 551w9(496·102786+71)/9January 1, 2013Ray Chandler
219427879445394w53(85·102786+77)/9January 1, 2013Ray Chandler
219527876441764w17(58·102786-247)/9January 1, 2013Ray Chandler
21962786 36w77(11·102785+31)/3January 1, 2013Ray Chandler
219727861779117w91(16·102785+119)/9January 1, 2013Ray Chandler
219827859883998w39(89·102784-449)/9January 1, 2013Ray Chandler
219927839339793w97(28·102782+191)/3January 1, 2013Ray Chandler
220027838664186w41(26·102782-77)/3January 1, 2013Ray Chandler
220127837996779w678·102782-33January 1, 2013Ray Chandler
220327822998329w833·102781-17January 1, 2013Ray Chandler
22042781 994w7(895·102779+23)/9January 1, 2013Ray Chandler
220527815884758w47(53·102780-377)/9January 1, 2013Ray Chandler
220627813994739w474·102780-53January 1, 2013Ray Chandler
220727805227152w71(47·102779+439)/9January 1, 2013Ray Chandler
220827798554385w43(77·102778-113)/9January 1, 2013Ray Chandler
220927794886148w61(44·102778-251)/9January 1, 2013Ray Chandler
221227768995189w519·102775-49January 1, 2013Ray Chandler
22152772 62w11(56·102771-101)/9January 1, 2013Ray Chandler
221727725889358w93(53·102771+37)/9January 1, 2013Ray Chandler
22182772 338w1(305·102770-71)/9January 1, 2013Ray Chandler
221927711225112w51(11·102770+259)/9January 1, 2013Ray Chandler
222127704884348w43(44·102769-413)/9January 1, 2013Ray Chandler
222227697660976w09(23·102768-173)/3January 1, 2013Ray Chandler
222327697339773w97(22·102768+191)/3January 1, 2013Ray Chandler
222427697110971w09(64·102768-19)/9January 1, 2013Ray Chandler
22252769 661w7(595·102767+53)/9January 1, 2013Ray Chandler
222627693887938w79(35·102768-89)/9January 1, 2013Ray Chandler
222927685998159w816·102767-19January 1, 2013Ray Chandler
223027684004940w494·102767+49January 1, 2013Ray Chandler
223127681336113w61(4·102767+83)/3January 1, 2013Ray Chandler
223227673994339w434·102766-57January 1, 2013Ray Chandler
223327661996319w632·102765-37January 1, 2013Ray Chandler
223427652990329w033·102764-97January 1, 2013Ray Chandler
223527648229182w91(74·102763+619)/9January 1, 2013Ray Chandler
223727645118951w89(46·102763+701)/9January 1, 2013Ray Chandler
22382763 64w77(58·102762+293)/9January 1, 2013Ray Chandler
223927623446934w69(31·102761+221)/9January 1, 2013Ray Chandler
224127615221352w13(47·102760-83)/9January 1, 2013Ray Chandler
224227613776937w69(34·102760-79)/9January 1, 2013Ray Chandler
224527601226712w67(11·102759+403)/9January 1, 2013Ray Chandler
224627597997379w738·102758-27January 1, 2013Ray Chandler
224727593442934w29(31·102758-139)/9January 1, 2013Ray Chandler
224827589443794w37(85·102757-67)/9January 1, 2013Ray Chandler
22492758 779w378·102756-7January 1, 2013Ray Chandler
225027579224792w47(83·102756+223)/9January 1, 2013Ray Chandler
225127569550795w07(86·102755-437)/9January 1, 2013Ray Chandler
225227563994339w434·102755-57January 1, 2013Ray Chandler
225327553991739w174·102754-83January 1, 2013Ray Chandler
225527538003980w398·102752+39January 1, 2013Ray Chandler
225627529338993w89(28·102751+167)/3January 1, 2013Ray Chandler
225727514553745w37(41·102750-167)/9January 1, 2013Ray Chandler
225927489221992w19(83·102747-29)/9January 1, 2013Ray Chandler
226027488995789w579·102747-43January 1, 2013Ray Chandler
226227483223732w37(29·102747+133)/9January 1, 2013Ray Chandler
22632747 668w3(602·102745-53)/9January 1, 2013Ray Chandler
226427471669316w93(5·102746+79)/3January 1, 2013Ray Chandler
22652746 992w3(893·102744+7)/9January 1, 2013Ray Chandler
226627467557175w71(68·102745+139)/9January 1, 2013Ray Chandler
22672746 71w99(64·102745+791)/9January 1, 2013Ray Chandler
226827464551745w17(41·102745-347)/9January 1, 2013Ray Chandler
227027458558785w87(77·102744+283)/9January 1, 2013Ray Chandler
227227421663716w37(5·102741-89)/3January 1, 2013Ray Chandler
227427395779357w93(52·102738+137)/9January 1, 2013Ray Chandler
227527392772327w23(25·102738-493)/9January 1, 2013Ray Chandler
227727392338123w81(7·102738+143)/3January 1, 2013Ray Chandler
227827392337123w71(7·102738+113)/3January 1, 2013Ray Chandler
227927391991319w132·102738-87January 1, 2013Ray Chandler
228027382779327w93(25·102737+137)/9January 1, 2013Ray Chandler
22812738 24w99(22·102737+491)/9January 1, 2013Ray Chandler
228327379226392w63(83·102736+367)/9January 1, 2013Ray Chandler
22852736 83w77(25·102735+131)/3January 1, 2013Ray Chandler
228627368332183w21(25·102735-37)/3January 1, 2013Ray Chandler
228727361220712w07(11·102735-137)/9January 1, 2013Ray Chandler
228927338229382w93(74·102732+637)/9January 1, 2013Ray Chandler
22922731 880w988·102729+9January 1, 2013Ray Chandler
229327313003730w373·102730+37January 1, 2013Ray Chandler
229427299664796w47(29·102728-59)/3January 1, 2013Ray Chandler
229527298779387w93(79·102728+137)/9January 1, 2013Ray Chandler
229627298116381w63(73·102728+467)/9January 1, 2013Ray Chandler
229727288114781w47(73·102727+323)/9January 1, 2013Ray Chandler
229827287003170w317·102727+31January 1, 2013Ray Chandler
229927274554345w43(41·102726-113)/9January 1, 2013Ray Chandler
230227263009730w973·102725+97January 1, 2013Ray Chandler
230327262883728w37(26·102725-467)/9January 1, 2013Ray Chandler
230527256553965w39(59·102724-149)/9January 1, 2013Ray Chandler
230627253558335w83(32·102724+247)/9January 1, 2013Ray Chandler
230727251887918w79(17·102724-89)/9January 1, 2013Ray Chandler
230827233552135w21(32·102722-311)/9January 1, 2013Ray Chandler
230927232663926w39(8·102722-83)/3January 1, 2013Ray Chandler
231127228006980w698·102721+69January 1, 2013Ray Chandler
231227227886778w67(71·102721-197)/9January 1, 2013Ray Chandler
231327222554925w49(23·102721-59)/9January 1, 2013Ray Chandler
231427195881958w19(53·102718-629)/9January 1, 2013Ray Chandler
23162716 82w99(74·102715+691)/9January 1, 2013Ray Chandler
231727168228782w87(74·102715+583)/9January 1, 2013Ray Chandler
23182716 552w1(497·102714-11)/9January 1, 2013Ray Chandler
23192716 334w3(301·102714-13)/9January 1, 2013Ray Chandler
232027161550115w01(14·102715-491)/9January 1, 2013Ray Chandler
232427134332143w21(13·102712-37)/3January 1, 2013Ray Chandler
232527134330943w09(13·102712-73)/3January 1, 2013Ray Chandler
23262712 65w11(59·102711-401)/9January 1, 2013Ray Chandler
23282712 46w99(14·102711+97)/3January 1, 2013Ray Chandler
232927124006340w634·102711+63January 1, 2013Ray Chandler
233127119559195w91(86·102710+319)/9January 1, 2013Ray Chandler
233427086335963w59(19·102707+77)/3January 1, 2013Ray Chandler
233527073776937w69(34·102706-79)/9January 1, 2013Ray Chandler
234127033661336w13(11·102702-161)/3January 1, 2013Ray Chandler