5859126495 · 2333333 - 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:5859126495 · 2333333 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L269 : Courty, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100353   (log10 is 100352.99937754)
Rank (*):43700 (digit rank is 3)
Entrance Rank (*):3374
Currently on list? (*):no
Submitted:5/5/2007 17:04:09 CDT
Last modified:5/5/2007 17:44:31 CDT
Removed (*):8/30/2007 01:37:43 CDT
Database id:80333
Status Flags:none
Score (*):39.5651 (normalized score 0.0111)

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_id80333
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 5859126495 2 333333 -1 2>&1
[Elapsed time: 9.614 seconds]
modified2007-05-30 21:58:14
created2007-05-05 17:22:02
id89771

fieldvalue
prime_id80333
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 5859126495*2^333333-1 2>&1
Starting Lucas Lehmer Riesel prime test of 5859126495*2^333333-1
V1 = 5 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
5859126495*2^333333-1 is prime! Time: 1288.007 sec.
[Elapsed time: 1288 seconds]
modified2007-05-30 21:58:14
created2007-05-05 17:23:03
id89778

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