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: 19249 · 213018586 + 1 Verification status (*): External Official Comment: Unofficial Comments: This prime has 1 user comment below. Proof-code(s): (*): SB10 : Agafonov, SoBSieve, ProthSieve, Ksieve, Proth.exe, SB, PRP Decimal Digits: 3918990   (log10 is 3918989.17153934) Rank (*): 11 (digit rank is 1) Entrance Rank (*): 7 Currently on list? (*): short Submitted: 5/7/2007 15:11:25 CDT Last modified: 5/7/2007 15:22:13 CDT Database id: 80385 Status Flags: none Score (*): 50.8196 (normalized score 2990.539)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Chris Caldwell writes (7 May 2007): 

This is Seventeen or Bust's tenth prime! To read more about the discovery, check out the official Press Release.

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 80385 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 19249 2 13018586 1 2>&1 [Elapsed time: 11.590 seconds] modified 2007-05-30 21:58:14 created 2007-05-07 15:22:02 id 89879