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: 587027392600 · 2477# · 16 - 1 Verification status (*): Proven Official Comment: Cunningham chain (16p+15) Proof-code(s): (*): p382 : Oestlin, NewPGen, OpenPFGW Decimal Digits: 1070   (log10 is 1069.8730251137) Rank (*): 111716 (digit rank is 13) Entrance Rank (*): 108665 Currently on list? (*): short Submitted: 3/29/2016 02:14:08 CDT Last modified: 3/29/2016 02:50:40 CDT Database id: 121490 Status Flags: TrialDiv Score (*): 25.4833 (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.

Cunningham Chains (1st kind) (archivable class *)

Prime on list: yes, rank 5, weight 45.9024608640709
Subcategory: "Cunningham chain (16p+15)"
(archival tag id 218295, tag last modified 2016-10-15 14:50:51)

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 121490 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/pfgw/pfgw64 -tp -q"587027392600*2477#*16-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 587027392600*2477#*16-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 2503, base 1+sqrt(2503) Calling Brillhart-Lehmer-Selfridge with factored part 33.51% 587027392600*2477#*16-1 is prime! (0.7896s+0.0004s) [Elapsed time: 1.00 seconds] modified 2016-04-08 12:40:26 created 2016-03-29 02:21:01 id 167120