15791649909 · 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:15791649909 · 2333333 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L306 : Bohn, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.42997217)
Rank (*):43526 (digit rank is 1834)
Entrance Rank (*):3649
Currently on list? (*):no
Submitted:7/2/2007 17:01:22 CDT
Last modified:7/2/2007 23:28:27 CDT
Removed (*):11/14/2007 10:04:20 CDT
Database id:81534
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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 15791649909 2 333333 -1 2>&1
[Elapsed time: 10.867 seconds]
modified2007-09-12 06:50:18
created2007-07-02 17:22:01

machineRedHat P4 P4
notesCommand: /home/caldwell/client/llr.pl 15791649909*2^333333-1 2>&1
Starting Lucas Lehmer Riesel prime test of 15791649909*2^333333-1
V1 = 3 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
15791649909*2^333333-1 is prime! Time: 1318.568 sec.
[Elapsed time: 1318 seconds]
modified2007-09-12 06:50:18
created2007-07-02 23:06:29

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