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: 7853 · 2919793 + 1 Verification status (*): Proven Official Comment: Proof-code(s): (*): L3165 : DeVries, PSieve, Srsieve, PrimeGrid, LLR Decimal Digits: 276890   (log10 is 276889.17783736) Rank (*): 5845 (digit rank is 1) Entrance Rank (*): 2277 Currently on list? (*): no Submitted: 6/24/2012 09:57:10 CDT Last modified: 6/24/2012 10:50:39 CDT Removed (*): 3/3/2013 08:49:31 CDT Database id: 107911 Status Flags: none Score (*): 42.6888 (normalized score 0.8802)

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 107911 person_id 9 machine RedHat Virtual STEM Server what prime notes Command: /home/caldwell/client/pfgw -t -q"7853*2^919793+1" 2>&1 PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 7853*2^919793+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 7853*2^919793+1 is prime! (1315.5022s+0.0003s) [Elapsed time: 21.92 minutes] modified 2012-07-16 11:32:58 created 2012-06-24 10:02:47 id 145406

field value prime_id 107911 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/TrialDiv/TrialDiv -q 7853 2 919793 1 2>&1 [Elapsed time: 9.506 seconds] modified 2012-07-16 11:32:58 created 2012-06-24 10:05:02 id 145407