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: 735 · 2577763-1 Verification status (*): Proven Official Comment: Proof-code(s): (*): g172 : Chaffey, Proth.exe Decimal Digits: 173927   (log10 is 173926.859672148) Rank (*): 2505 (digit rank is 1) Entrance Rank (*): 474 Currently on list? (*): yes Submitted: 8/2/2006 16:06:21 CDT Last modified: 8/2/2006 17:17:14 CDT Database id: 78231 Status Flags: none Score (*): 41.2585 (normalized score 1.9007)

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 78231 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 735 2 577763 -1 2>&1 [Elapsed time: 9.778 seconds] modified 2007-03-03 21:00:44 created 2006-08-02 16:22:13 id 85559

field value prime_id 78231 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/llr.pl 735*2^577763-1 2>&1 Starting Lucas Lehmer Riesel prime test of 735*2^577763-1 V1 = 9 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 735*2^577763-1 is prime! Time : 1543.484 sec. [Elapsed time: 1543 seconds] modified 2007-03-03 21:00:44 created 2006-08-02 16:51:31 id 85562