954914054415 · 2666667 - 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:954914054415 · 2666667 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L928 : Cure, TwinGen, PrimeGrid, LLR
Decimal Digits:200699   (log10 is 200698.7440836)
Rank (*):26713 (digit rank is 149)
Entrance Rank (*):1168
Currently on list? (*):no
Submitted:10/1/2009 08:09:39 CDT
Last modified:10/1/2009 08:50:21 CDT
Removed (*):5/9/2011 18:09:52 CDT
Database id:90171
Status Flags:none
Score (*):41.699 (normalized score 0.0934)

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_id90171
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 954914054415 2 666667 -1 2>&1
[Elapsed time: 9.666 seconds]
modified2011-12-27 16:48:42
created2009-10-01 08:18:01
id109717

fieldvalue
prime_id90171
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 954914054415*2^666667-1 2>&1
Starting Lucas Lehmer Riesel prime test of 954914054415*2^666667-1
Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 65536
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

954914054415*2^666667-1 is prime! Time : 1278.535 sec.
[Elapsed time: 21.32 minutes]
modified2009-11-24 13:57:50
created2009-10-01 08:23:01
id109718

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