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: 51 · 2282719+1 Verification status (*): Proven Official Comment: Divides Fermat F(282717) Proof-code(s): (*): g196 : Odermatt, Proth.exe Decimal Digits: 85109   (log10 is 85108.6069143012) Rank (*): 15390 (digit rank is 2) Entrance Rank (*): 246 Currently on list? (*): short Submitted: 11/13/2002 03:18:08 CDT Last modified: 11/13/2002 03:18:08 CDT Database id: 59647 Status Flags: none Score (*): 39.0574 (normalized score 0.2103)

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.

Prime Fermat Divisors (archivable *)

Prime on list: yes, rank 18, weight 42.9892377506798
Subcategory: "Divides Fermat"
(archival tag id 188520, tag last modified 2009-04-01 19:50:37)

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 59647 person_id 9 machine WinXP P4 1.8GHz what prime notes PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 11 Primality testing 51*2^282719+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 51*2^282719+1 is prime! (530.937000 seconds) modified 2003-03-25 11:21:47 created 2003-01-22 13:58:57 id 67297