At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

field (help) value Description: 142661157626 · 2411#+71427877 Verification status (*): PRP Official Comment: Consecutive primes arithmetic progression (5,d=30) Proof-code(s): (*): c14 : Fougeron, Primo Decimal Digits: 1038   (log10 is 1037.55378736388) Rank (*): 82687 (digit rank is 14) Entrance Rank (*): 53422 Currently on list? (*): short Submitted: 5/10/2002 14:47:08 CDT Last modified: 5/10/2002 14:47:08 CDT Database id: 55542 Status Flags: Verify Score (*): 25.3873 (normalized score 0)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.

Consecutive Primes in Arithmetic Progression (archivable class *)

Prime on list: yes, rank 1
Subcategory: "Consecutive primes in arithmetic progression (5,d=*)"
(archival tag id 185260, tag last modified 2006-06-08 19:09:32)

Arithmetic Progressions of Primes (archivable class *)

Prime on list: no, rank 60, weight 37.383348638161
Subcategory: "Arithmetic progression (5,d=*)"
(archival tag id 185261, tag last modified 2009-07-14 10:40:20)

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.

field value prime_id 55542 person_id 9 machine Linux PII 200 what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 5 Primality testing 142661157626*2411#+71427877 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 17, base 6+sqrt(17) Calling N+1 BLS with factored part 0.32% and helper 0.23% (1.19% proof) 142661157626*2411#+71427877 is Fermat and Lucas PRP! (8.630000 seconds) modified 2003-03-25 11:23:04 created 2003-01-03 23:38:25 id 60661