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: primU(19415) Verification status (*): PRP Official Comment: Fibonacci primitive part, ECPP Proof-code(s): (*): c8 : Water, Broadhurst, Primo Decimal Digits: 2943   (log10 is 2942.4090051291) Rank (*): 56555 (digit rank is 1) Entrance Rank (*): 31696 Currently on list? (*): short Submitted: 4/30/2003 11:19:55 CDT Last modified: 4/30/2003 11:19:55 CDT Database id: 64575 Status Flags: Verify Score (*): 28.6401 (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.

Fibonacci Primitive Part (archivable *)

Prime on list: yes, rank 20
Subcategory: "Fibonacci Primitive Part"
(archival tag id 175462, tag last modified 2007-08-25 16:50:18)

Elliptic Curve Primality Proof (archivable *)

Prime on list: no, rank 229
Subcategory: "ECPP"
(archival tag id 175461, tag last modified 2009-11-14 14:20:22)

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 64575 person_id 9 machine Linux P4 2.8GHz what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 13 Primality testing 2564514323...1636215201 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 29, base 4+sqrt(29) Calling N-1 BLS with factored part 1.59% and helper 0.01% (4.79% proof) 2564514323...1636215201 is Fermat and Lucas PRP! (7.770000 seconds) modified 2003-07-12 13:12:12 created 2003-04-30 12:31:05 id 69436