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: 16647973785 · 2333333 - 1 Verification status (*): Proven Official Comment: Proof-code(s): (*): L269 : Courty, NewPGen, PrimeGrid, TPS, LLR Decimal Digits: 100354   (log10 is 100353.45290605) Rank (*): 41650 (digit rank is 1759) Entrance Rank (*): 3596 Currently on list? (*): no Submitted: 7/3/2007 11:27:46 CDT Last modified: 7/3/2007 12:20:58 CDT Removed (*): 11/22/2007 00:37:22 CDT Database id: 81548 Status Flags: none Score (*): 39.5651 (normalized score 0.0131)

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 81548 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 16647973785 2 333333 -1 2>&1 [Elapsed time: 9.996 seconds] modified 2007-09-12 06:50:18 created 2007-07-03 11:52:11 id 92200

field value prime_id 81548 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/llr.pl 16647973785*2^333333-1 2>&1 Starting Lucas Lehmer Riesel prime test of 16647973785*2^333333-1 V1 = 5 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 16647973785*2^333333-1 is prime! Time: 1299.615 sec. [Elapsed time: 1300 seconds] modified 2007-09-12 06:50:18 created 2007-07-03 11:59:18 id 92201