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: 129431439657 · 2170172 + 1 Verification status (*): Proven Official Comment: Cunningham chain 2nd kind (2p-1) Proof-code(s): (*): L3494 : Batalov, NewPGen, LLR Decimal Digits: 51238   (log10 is 51237.988461913) Rank (*): 52717 (digit rank is 1) Entrance Rank (*): 47348 Currently on list? (*): short Submitted: 3/28/2015 01:20:55 CDT Last modified: 3/28/2015 01:50:27 CDT Database id: 119649 Status Flags: TrialDiv Score (*): 37.4925 (normalized score 0.0015)

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 (2nd kind) (archivable class *)

Prime on list: yes, rank 3, weight 37.2146624579602
Subcategory: "Cunningham chain 2nd kind (2p-1)"
(archival tag id 217974, tag last modified 2017-12-20 01:20:25)

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 119649 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/pfgw/pfgw64 -t -q"129431439657*2^170172+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 129431439657*2^170172+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 99.98% 129431439657*2^170172+1 is prime! (14.0736s+0.0003s) [Elapsed time: 14.00 seconds] modified 2015-04-20 07:32:09 created 2015-03-28 01:21:01 id 165259