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: 2917919433537 · 21290000 - 1 Verification status (*): Proven Official Comment: Proof-code(s): (*): L4430 : Parangalan, TwinGen, PrimeGrid, LLR Decimal Digits: 388342   (log10 is 388341.159479832) Rank (*): 6376 (digit rank is 667) Entrance Rank (*): 4107 Currently on list? (*): no Submitted: 8/16/2016 06:00:23 CDT Last modified: 8/16/2016 07:20:32 CDT Removed (*): 2/24/2017 01:54:05 CDT Database id: 122042 Status Flags: TrialDiv Score (*): 43.7286 (normalized score 0.8974)

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 122042 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prime notes Command: /home/caldwell/clientpool/1/pfgw64 -tp -q"2917919433537*2^1290000-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 2917919433537*2^1290000-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2917919433537*2^1290000-1 is prime! (2738.3346s+0.0006s) [Elapsed time: 45.65 minutes] modified 2017-01-27 05:57:11 created 2016-08-16 06:13:01 id 167682