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: 33661 · 27031232+1 Verification status (*): External Official Comment: Unofficial Comments: This prime has 1 user comment below. Proof-code(s): (*): SB11 : Sunde, SoBSieve, ProthSieve, Ksieve, Proth.exe, SB, PRP Decimal Digits: 2116617   (log10 is 2116616.26559946) Rank (*): 13 (digit rank is 1) Entrance Rank (*): 10 Currently on list? (*): short Submitted: 10/30/2007 18:48:10 CDT Last modified: 11/4/2007 00:23:35 CDT Database id: 82804 Status Flags: Verify Score (*): 48.9324 (normalized score 4089.6952)

User comments about this prime (disclaimer):

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Chris Caldwell writes (1 Nov 2007): 

This is Seventeen or Bust's eleventh prime and was found during a double check (it had been missed the first time through). Six more to go to prove that k=78557 (Selfridge, 1962) is the least odd integer such that all of the numbers k.2n+1 are composite for integers n > 0 (that is, to show that 78557 is the least Sierpinski number).

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 82804 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 33661 2 7031232 1 2>&1 [Ellapsed time: 10.915 seconds] modified 2008-01-03 10:54:43 created 2007-10-30 18:52:01 id 94722