目次

• December 2013
  • December 22, 2013
  • December 21, 2013
  • December 18, 2013
  • December 16, 2013
  • December 15, 2013
  • December 12, 2013
• November 2013
  • November 30, 2013
  • November 26, 2013
  • November 22, 2013
  • November 18, 2013
  • November 14, 2013
  • November 11, 2013
  • November 10, 2013
  • November 6, 2013
  • November 2, 2013
• October 2013
  • October 29, 2013
  • October 27, 2013
  • October 26, 2013
  • October 25, 2013
  • October 24, 2013
  • October 22, 2013
  • October 21, 2013
  • October 18, 2013
  • October 17, 2013
  • October 13, 2013
  • October 11, 2013
  • October 10, 2013
  • October 9, 2013
  • October 5, 2013
  • October 2, 2013
  • October 1, 2013
• September 2013
  • September 27, 2013
  • September 23, 2013
  • September 19, 2013
  • September 17, 2013
  • September 15, 2013
  • September 13, 2013
  • September 11, 2013
  • September 7, 2013
  • September 3, 2013
• August 2013
  • August 30, 2013
  • August 26, 2013
  • August 22, 2013
  • August 18, 2013
  • August 13, 2013
  • August 8, 2013
  • August 4, 2013
• July 2013
  • July 31, 2013
  • July 27, 2013
  • July 23, 2013
  • July 20, 2013
  • July 18, 2013
  • July 14, 2013
  • July 10, 2013
  • July 6, 2013
  • July 2, 2013
  • July 1, 2013
• June 2013
  • June 28, 2013
  • June 24, 2013
  • June 20, 2013
  • June 16, 2013
  • June 12, 2013
  • June 9, 2013
  • June 8, 2013
  • June 5, 2013
  • June 1, 2013
• May 2013
  • May 29, 2013
  • May 26, 2013
  • May 23, 2013
  • May 20, 2013
  • May 17, 2013
  • May 14, 2013
  • May 12, 2013
  • May 11, 2013
  • May 8, 2013
  • May 5, 2013
  • May 2, 2013
  • May 1, 2013
• April 2013
  • April 29, 2013
  • April 27, 2013
  • April 26, 2013
  • April 23, 2013
  • April 20, 2013
  • April 17, 2013
  • April 15, 2013
  • April 13, 2013
  • April 10, 2013
  • April 7, 2013
  • April 3, 2013
• March 2013
  • March 31, 2013
  • March 30, 2013
  • March 28, 2013
  • March 25, 2013
  • March 22, 2013
  • March 19, 2013
  • March 17, 2013
  • March 16, 2013
  • March 15, 2013
  • March 13, 2013
  • March 10, 2013
  • March 8, 2013
  • March 6, 2013
  • March 5, 2013
  • March 4, 2013
  • March 3, 2013
  • March 2, 2013
• February 2013
  • February 28, 2013
  • February 26, 2013
  • February 25, 2013
  • February 23, 2013
  • February 21, 2013
  • February 19, 2013
  • February 16, 2013
  • February 13, 2013
  • February 10, 2013
  • February 7, 2013
  • February 5, 2013
  • February 2, 2013
• January 2013
  • January 30, 2013
  • January 29, 2013
  • January 27, 2013
  • January 22, 2013
  • January 19, 2013
  • January 18, 2013
  • January 17, 2013
  • January 16, 2013
  • January 15, 2013
  • January 13, 2013
  • January 12, 2013
  • January 10, 2012
  • January 7, 2012
  • January 5, 2013
  • January 4, 2012
  • January 1, 2013

December 2013

December 22, 2013

Serge Batalov found 5 near-repdigit-related PRPs.

December 21, 2013

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

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.

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.

December 15, 2013

P.Kurtovic found 3 near-repdigit primes.

December 12, 2013

Erik Branger found 4 quasi-repdigit PRPs.

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.

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.

October 26, 2013

P.Kurtovic found 2 quasi-repdigit primes.

October 25, 2013

P.Kurtovic found 1 quasi-repdigit prime.

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.

October 22, 2013

Ray Chandler found 1 near-repdigit-related prime.

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.

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.

Ray Chandler found 6 near-repdigit-related primes.

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.

P.Kurtovic found 2 near-repdigit primes.

October 10, 2013

P.Kurtovic found 2 near-repdigit primes.

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.

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.

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!

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.

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.

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

To avoid frequent occurrence of internal server errors on contribution processing, CGI program was modified. Please submit your unlisted factors again. Sorry for the inconvenience.

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!

• The Prime Database: 7019*10^881309-1 (Chris Caldwell)
• Primes of the form k*10^n-1 (Gary Barnes)
• Riesel conjectures and proofs (Gary Barnes)

June 2013

June 28, 2013

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

• 84th Largest Prime In The World (Liquid Nitrogen Overclocking)
• The Prime Database: 7*10^902708+1 (Chris Caldwell)

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.

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!

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.

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.

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.

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.

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.

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.

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!

• The Prime Database: 9999993*10^331938-1 (Chris K. Caldwell)
• The Top Twenty: Near-repdigit (Chris K. Caldwell)

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.