33661 · 27031232 + 1
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The hardware and software on this system was updated September 4th.  Please let me know of any problem you encounter. <caldwell@utm.edu>

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, PRP, Proth.exe, SB
Decimal Digits:2116617   (log10 is 2116616.26559946)
Rank (*):21 (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:none
Score (*):48.9324 (normalized score 240.1055)

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 (11 Sep 2014): 
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.
fieldvalue
prime_id82804
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 33661 2 7031232 1 2>&1
[Elapsed time: 10.915 seconds]
modified2011-12-27 16:48:49
created2007-10-30 18:52:01
id94722

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.