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: 6597 · 2803763 + 1 Verification status (*): Proven Official Comment: Proof-code(s): (*): L1204 : Brown1, PSieve, Srsieve, PrimeGrid, LLR Decimal Digits: 241961   (log10 is 241960.59175135) Rank (*): 19810 (digit rank is 1) Entrance Rank (*): 2984 Currently on list? (*): no Submitted: 3/22/2012 17:04:44 CDT Last modified: 3/22/2012 17:50:24 CDT Removed (*): 6/26/2012 21:10:47 CDT Database id: 105775 Status Flags: none Score (*): 42.2742 (normalized score 0.1637)

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 105775 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/TrialDiv/TrialDiv -q 6597 2 803763 1 2>&1 [Elapsed time: 10.093 seconds] modified 2012-07-16 11:33:01 created 2012-03-22 17:05:01 id 141139

field value prime_id 105775 person_id 9 machine Ditto P4 P4 what prime notes Command: /home/ditto/client/pfgw -t -q"6597*2^803763+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 6597*2^803763+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 6597*2^803763+1 is prime! (1576.7633s+0.0009s) [Elapsed time: 26.27 minutes] modified 2012-07-16 11:33:01 created 2012-03-22 17:08:01 id 141142