7784109825 · 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:7784109825 · 2333333 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L271 : Klahn, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.12275362)
Rank (*):43369 (digit rank is 2522)
Entrance Rank (*):3425
Currently on list? (*):no
Submitted:5/18/2007 15:50:37 CDT
Last modified:5/18/2007 16:20:20 CDT
Removed (*):9/16/2007 15:55:24 CDT
Database id:80567
Status Flags:none
Score (*):39.5651 (normalized score 0.0114)

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_id80567
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 7784109825 2 333333 -1 2>&1
[Elapsed time: 9.266 seconds]
modified2007-05-30 21:58:14
created2007-05-18 15:52:01
id90246

fieldvalue
prime_id80567
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 7784109825*2^333333-1 2>&1
Starting Lucas Lehmer Riesel prime test of 7784109825*2^333333-1
V1 = 5 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
7784109825*2^333333-1 is prime! Time: 1259.350 sec.
[Elapsed time: 1259 seconds]
modified2007-05-30 21:58:14
created2007-05-18 15:53:02
id90248

Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.