23872874391 · 2333333 - 1
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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:23872874391 · 2333333 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L288 : Burt, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.60944937)
Rank (*):42820 (digit rank is 1130)
Entrance Rank (*):4013
Currently on list? (*):no
Submitted:10/19/2007 05:51:16 CDT
Last modified:10/19/2007 13:00:25 CDT
Removed (*):1/18/2008 10:51:10 CDT
Database id:82619
Status Flags:none
Score (*):39.5651 (normalized score 0.01)

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_id82619
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 23872874391 2 333333 -1 2>&1
[Elapsed time: 9.245 seconds]
modified2011-12-27 16:48:49
created2007-10-19 05:52:58
id94352

fieldvalue
prime_id82619
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 23872874391*2^333333-1 2>&1
Starting Lucas Lehmer Riesel prime test of 23872874391*2^333333-1
V1 = 5 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
23872874391*2^333333-1 is prime! Time: 1278.586 sec.
[Elapsed time: 21.32 minutes]
modified2008-01-03 10:54:43
created2007-10-19 12:39:06
id94391

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