665127 · 2665128 - 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:665127 · 2665128 - 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p260 : Harvey, Gcwsieve, MultiSieve, GenWoodall, OpenPFGW
Decimal Digits:200230   (log10 is 200229.30186057)
Rank (*):26971 (digit rank is 1)
Entrance Rank (*):1694
Currently on list? (*):no
Submitted:2/9/2010 14:27:42 CDT
Last modified:2/9/2010 15:20:21 CDT
Removed (*):4/16/2011 09:30:39 CDT
Database id:91702
Status Flags:none
Score (*):41.6918 (normalized score 0.0932)

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.

Steven Harvey writes (11 Sep 2014): 
Near Woodall

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 665127 2 665128 -1 2>&1
[Elapsed time: 9.717 seconds]
modified2011-12-27 16:48:40
created2010-02-09 14:35:02

machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 665127*2^665128-1 2>&1
Starting Lucas Lehmer Riesel prime test of 665127*2^665128-1
Using Irrational Base DWT : Mersenne fftlen = 32768, Used fftlen = 65536
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

665127*2^665128-1 is prime! Time : 1166.814 sec.
[Elapsed time: 19.45 minutes]
modified2010-03-13 18:56:30
created2010-02-09 14:38:01

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.