目次

• December 2011
  • December 31, 2011
  • December 29, 2011
  • December 26, 2011
  • December 24, 2011
  • December 23, 2011
  • December 22, 2011
  • December 21, 2011
  • December 20, 2011
  • December 18, 2011
  • December 15, 2011
  • December 13, 2011
  • December 7, 2011
  • December 4, 2011
  • December 1, 2011
• November 2011
  • November 28, 2011
  • November 26, 2011
  • November 24, 2011
  • November 21, 2011
  • November 18, 2011
  • November 15, 2011
  • November 13, 2011
  • November 12, 2011
  • November 11, 2011
  • November 9, 2011
  • November 6, 2011
  • November 3, 2011
  • November 2, 2011
  • November 1, 2011
• October 2011
  • October 27, 2011
  • October 18, 2011
  • October 5, 2011
• September 2011
  • September 30, 2011
  • September 22, 2011
  • September 20, 2011
  • September 14, 2011
  • September 11, 2011
  • September 8, 2011
  • September 4, 2011
  • September 3, 2011
  • September 2, 2011
  • September 1, 2011
• August 2011
  • August 24, 2011
  • August 22, 2011
  • August 18, 2011
  • August 16, 2011
  • August 5, 2011
• July 2011
  • July 25, 2011
  • July 18, 2011
  • July 11, 2011
  • July 7, 2011
  • July 6, 2011
  • July 4, 2011
• June 2011
  • June 30, 2011
  • June 27, 2011
  • June 22, 2011
  • June 20, 2011
  • June 11, 2011
  • June 10, 2011
  • June 5, 2011
  • June 3, 2011
• May 2011
  • May 31, 2011
  • May 29, 2011
  • May 26, 2011
  • May 25, 2011
  • May 24, 2011
  • May 20, 2011
  • May 18, 2011
  • May 11, 2011
  • May 7, 2011
  • May 5, 2011
  • May 4, 2011
  • May 2, 2011
  • May 1, 2011
• April 2011
  • April 29, 2011
  • April 28, 2011
  • April 26, 2011
  • April 25, 2011
  • April 23, 2011
  • April 21, 2011
  • April 19, 2011
  • April 16, 2011
  • April 15, 2011
  • April 14, 2011
  • April 13, 2011
  • April 12, 2011
  • April 11, 2011
  • April 9, 2011
  • April 8, 2011
  • April 6, 2011
  • April 4, 2011
  • April 3, 2011
  • April 2, 2011
  • April 1, 2011
• March 2011
  • March 31, 2011
  • March 29, 2011
  • March 28, 2011
  • March 27, 2011
  • March 26, 2011
  • March 25, 2011
  • March 24, 2011
  • March 22, 2011
  • March 20, 2011
  • March 18, 2011
  • March 17, 2011
  • March 16, 2011
  • March 15, 2011
  • March 14, 2011
  • March 13, 2011
  • March 11, 2011
  • March 10, 2011
  • March 9, 2011
  • March 8, 2011
  • March 7, 2011
  • March 5, 2011
  • March 4, 2011
  • March 2, 2011
• February 2011
  • February 28, 2011
  • February 27, 2011
  • February 26, 2011
  • February 24, 2011
  • February 22, 2011
  • February 21, 2011
  • February 20, 2011
  • February 19, 2011
  • February 18, 2011
  • February 16, 2011
  • February 15, 2011
  • February 14, 2011
  • February 13, 2011
  • February 12, 2011
  • February 11, 2011
  • February 10, 2011
  • February 9, 2011
  • February 8, 2011
  • February 7, 2011
  • February 5, 2011
  • February 4, 2011
  • February 3, 2011
  • February 2, 2011
  • February 1, 2011
• January 2011
  • January 31, 2011
  • January 30, 2011
  • January 29, 2011
  • January 28, 2011
  • January 27, 2011
  • January 26, 2011
  • January 24, 2011
  • January 22, 2011
  • January 21, 2011
  • January 20, 2011
  • January 19, 2011
  • January 18, 2011
  • January 17, 2011
  • January 15, 2011
  • January 14, 2011
  • January 13, 2011
  • January 10, 2011
  • January 8, 2011
  • January 7, 2011
  • January 6, 2011
  • January 5, 2011
  • January 4, 2011
  • January 3, 2011
  • January 2, 2011
  • January 1, 2011

December 2011

December 31, 2011

Factorizations of 955...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.

December 29, 2011

Factorizations of 877...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.

December 26, 2011

Factorizations of 688...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.

December 24, 2011

Factorizations of 99...99599...99 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

December 23, 2011

Ray Chandler found 23 prime numbers of the form k·10ⁿ-1, 46th-48th of k=8849719619597556, 44th-46th of k=9866995547651697, 47th of k=12385008795614294, 46th of k=12627335841170253, 43rd-45th of k=18337020241048446, 42nd-45th of k=20342090729098691, 46th-47th of k=26075627483886897, 46th of k=1473996556504596663, 45th of k=2266438199628379476 and 42nd-45th of k=3956926644759313113.

Ray Chandler found 91 prime numbers of the form k·10ⁿ-1, 47th-52nd of k=8861036989751958627, 45th of k=8124529194875611707, 45th-47th of k=8058799722014140442, 47th of k=6136678104778761932, 46th-47th of k=5906181743052623648, 45th of k=5410621003833542777, 47th-48th of k=5324532551360646435, 46th-47th of k=5189395769656459445, 45th of k=4155941632109082935, 46th-47th of k=3745413626697133958, 49th-51st of k=3688107672047143961, 47th of k=2086228385017249928, 46th of k=1513868073147018162, 45th-46th of k=529220357182862954, 48th-49th of k=330640210602617363, 47th of k=248108640286930808, 46th-47th of k=30895035496936877, 45th-46th of k=29472578289080199, 45th-46th of k=26821618164263951, 43rd-45th of k=24255533047620308, 46th-47th of k=16337430201479681, 47th of k=15775373068537271, 48th of k=11314478175891338, 43rd-46th of k=10690189813288797, 46th-47th of k=9334983988275764, 46th-48th of k=7440784135439319, 46th-48th of k=1677510348112053, 47th-48th of k=8953919255802171035, 44th-47th of k=6896180437289770655, 47th-49th of k=6758517141263266764, 45th of k=5586437116317036434, 48th-50th of k=2265457412699262446, 46th-50th of k=273612655080436938, 46th of k=37731518958711032, 48th of k=20049572996361209, 49th of k=13680125387256776, 49th of k=13523719823507418, 45th-48th of k=11885302750562514, 46th-49th of k=10471993823152799, 50th of k=9977839106671499 and 45th-47th of k=9697992253044102.

December 22, 2011

Ray Chandler found 35 prime numbers of the form k·10ⁿ-1, 46th-47th of k=401115243497052, 44th-47th of k=920700247429683, 46th of k=1581943787314688, 49th-51st of k=2470787120503499, 48th of k=9673647494155806, 50th of k=11749536972569333, 45th-49th of k=13651074048698702, 48th of k=81610032903525693, 50th-51st of k=191368947589402968, 50th-52nd of k=2998375267299290424, 49th of k=4173754157978594343, 47th-49th of k=4512565955069796981, 48th-50th of k=4964807464647923921, 46th-47th of k=5830309478870479995, 45th of k=8681897852553216354 and 45th-46th of k=8886864074998805511.

December 21, 2011

Factorizations of 77...77977...77 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

December 20, 2011

Ray Chandler found 24 prime numbers of the form k·10ⁿ-1, 49th-52nd of k=41945128176534744, 49th-50th of k=42347460076759481, 46th-49th of k=50857767980257511, 46th-49th of k=51215596469881907, 48th-49th of k=50637515049938733, 45th-47th of k=52797555212895374, 44th-46th of k=46473172030295717 and 45th-46th of k=46219659610534935.

December 18, 2011

Factorizations of 77...77577...77 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

December 15, 2011

Factorizations of 766...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.

December 13, 2011

Factorizations of 344...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.

December 7, 2011

Factorizations of 11...11911...11 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

December 4, 2011

Factorizations of 99...99499...99 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

December 1, 2011

Factorizations of 77...77277...77 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

November 2011

November 28, 2011

Factorizations of 77...77177...77 have been extended up to n=150. 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, 2011

Erik Branger found the largest known unprovable near-repdigit PRP. Congratulations!

November 24, 2011

Factorizations of 11...11811...11 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

November 21, 2011

Factorizations of 11...11611...11 have been extended up to n=150. 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, 2011

Factorizations of 11...11511...11 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

November 15, 2011

Factorizations of 33...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.

November 13, 2011

Ray Chander found 60 prime numbers of the form k·10ⁿ-1. 57 prime numbers were put on the list.

November 12, 2011

Ray Chander found 249 prime numbers of the form k·10ⁿ-1. 171 prime numbers were put on the list.

November 11, 2011

Serge Batalov found a quasi-repdigit PRP.

Ray Chandler found 30 prime numbers of the form k·10ⁿ-1, 42nd-48th of k=41945128176534744, 45th-48th of k=42347460076759481, 44th of k=46219659610534935, 42nd-43rd of k=46473172030295717, 42nd-45th of k=49744364829902015, 45th-47th of k=50637515049938733, 43rd-45th of k=50857767980257511, 44th-45th of k=51215596469881907 and 41st-44th of k=52797555212895374.

Factorizations of 11...11711...11 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

November 9, 2011

Factorizations of 11...11311...11 have been extended up to n=150. 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, 2011

Factorizations of 11...11411...11 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

November 3, 2011

Factorizations of 11...19 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, 2011

Serge Batalov proved the primality of a 5384-digit near-repdigit-related number (11·10⁵³⁸³-119)/9 = 110·R5382-1 by CHG.

November 1, 2011

RSALS and Serge Batalov factored a 169-digit composite factor of 6·10²⁷³-1 into 82-digit and 87-digit prime factors. It's the largest number factored by GNFS in our tables so far. Congratulations!

October 2011

October 27, 2011

Markus Tervooren factored a 166-digit composite factor of 2·10²⁴¹-1 into 49-digit, 55-digit and 63-digit prime factors. It's the largest number factored by GNFS in our tables so far. Congratulations!

October 18, 2011

matsui factored an 198-digit composite number (16·10²¹⁷-1)/3/41/468117319/18369134449 into two 99-digit prime numbers. It's the largest known nontrivial nice-split in our tables. Congratulations!

October 5, 2011

Ray Chandler found 8 prime numbers of the form k·10ⁿ-1. 51st of 204621546536159689w, 52nd of 276531952053868139w, 50th of 297349836083272769w, 48th-49th of 310267170933217889w and 53rd-55th of 378706641575875549w.

September 2011

September 30, 2011

Ray Chandler found 30 prime numbers of the form k·10ⁿ-1.

September 22, 2011

Bruno DallOsto found the largest known near-repdigit prime number. Congratulations!

• The Prime Database: 96*10^846519-1 (Chris K. Caldwell)
• The Top Twenty: Near-repdigit (Chris K. Caldwell)

September 20, 2011

David Broadhurst found the record-breaking 68th prime number of the form 5166409399321812845·10ⁿ-1. Congratulations!

• The Prime Database: 5166409399321812845*10^237724-1 (Chris K. Caldwell)

September 14, 2011

Factorizations of 55...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.

September 11, 2011

David Broadhurst found the record-breaking 67th prime number of the form 5166409399321812845·10ⁿ-1. Congratulations!

September 8, 2011

David Broadhurst found the 65th prime number and the record-tying 66th prime number of the form 5166409399321812845·10ⁿ-1. See also primecount.txt.

September 4, 2011

David Broadhurst found the 64th prime number of the form 5166409399321812845·10ⁿ-1.

September 3, 2011

David Broadhurst found the 62nd-63rd prime numbers of the form 5166409399321812845·10ⁿ-1 and the 59th prime number of the form 7347764627675020164·10ⁿ-1.

September 2, 2011

David Broadhurst found the 61st prime number of the form 5166409399321812845·10ⁿ-1.

September 1, 2011

David Broadhurst found the 58th prime number of the form 7347764627675020164·10ⁿ-1.

David Broadhurst found the 59th-60th prime numbers of the form 5166409399321812845·10ⁿ-1.

August 2011

August 24, 2011

I found the 57th prime number of the form 7347764627675020164·10ⁿ-1.

August 22, 2011

I found the 56th prime number of the form 7347764627675020164·10ⁿ-1.

August 18, 2011

Markus Tervooren proved 9 quasi-repdigit prime numbers by Primo.

August 16, 2011

Markus Tervooren proved a 9812-digit near-repdigit prime number by Primo. Congratulations!

August 5, 2011

Ray Chandler found the 4th largest known unprovable plateau and depression PRP.

July 2011

July 25, 2011

Ray Chandler found the 46th-51st prime number of the form 20889401543045007·10ⁿ-1.

July 18, 2011

Stefano D'Urso found a near-repdigit prime.

• The Prime Database: 9999999*10^255038-1 (Chris Caldwell)

July 11, 2011

Ray Chandler found 1 near-repdigit PRP, 24 quasi-repdigit PRPs and 71 near-repdigit-related PRPs in the range 29001≤n≤30000.

July 7, 2011

Ray Chandler found the 53rd prime number of the form 16781897479411358·10ⁿ-1.

July 6, 2011

Markus Tervooren proved 2 near-repdigit primes by Primo. Certifications are available.

July 4, 2011

Ray Chandler found 46th-52nd prime number of the form 13103465680138764·10ⁿ-1, 46th-48th of 14366136273120695·10ⁿ-1 and 46th-52nd of 16781897479411358·10ⁿ-1.

June 2011

June 30, 2011

Ray Chandler found 1 near-repdigit PRP, 16 quasi-repdigit PRPs and 49 near-repdigit-related PRPs in the range 28001≤n≤29000.

June 27, 2011

Ray Chandler found 52nd-53rd prime number of the form 11123337966287708·10ⁿ-1, 53rd-55st of 4781436698811612·10ⁿ-1 and 50th of 8165464858818701·10ⁿ-1.

June 22, 2011

Ray Chandler found 48th-52nd prime number of the form 4781436698811612·10ⁿ-1, 46th-51st of 11123337966287708·10ⁿ-1 and 46th-49th of 8165464858818701·10ⁿ-1.