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: 4811 · 220219+1 Verification status (*): Proven Official Comment: Consecutive primes arithmetic progression (3,d=3738) [c36] Proof-code(s): (*): DM : Demichel Decimal Digits: 6091   (log10 is 6090.20771768694) Rank (*): 49337 (digit rank is 1) Entrance Rank (*): 473 Currently on list? (*): short Submitted: 10/1996 Last modified: 10/1996 Database id: 22530 Status Flags: none Score (*): 30.9017 (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.

Arithmetic Progressions of Primes (archivable class *)

Prime on list: no, rank 100, weight 36.2302357347669
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 194874, tag last modified 2009-03-04 03:50:22)

Consecutive Primes in Arithmetic Progression (archivable class *)

Prime on list: yes, rank 3
Subcategory: "Consecutive primes in arithmetic progression (3,d=*)"
(archival tag id 194873, tag last modified 2009-02-12 20:01:27)

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 22530 person_id 9 machine Linux PII 200 what prime notes PFGW Version 1.1 for Pentium and compatibles Running N-1 test using base 3 Primality testing 4811*2^20219+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.94% 4811*2^20219+1 is prime! (41.510000 seconds) modified 2003-03-25 11:26:02 created 2002-12-08 17:12:04 id 30339