17396482581 · 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:17396482581 · 2333333 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L392 : Rodenkirk, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.47200611)
Rank (*):42308 (digit rank is 1715)
Entrance Rank (*):3659
Currently on list? (*):no
Submitted:7/16/2007 08:23:56 CDT
Last modified:7/16/2007 12:12:47 CDT
Removed (*):12/1/2007 04:25:43 CDT
Database id:81684
Status Flags:none
Score (*):39.5651 (normalized score 0.0119)

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_id81684
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 17396482581 2 333333 -1 2>&1
[Elapsed time: 9.537 seconds]
modified2007-09-12 06:50:18
created2007-07-16 08:53:20
id92478

fieldvalue
prime_id81684
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 17396482581*2^333333-1 2>&1
Starting Lucas Lehmer Riesel prime test of 17396482581*2^333333-1
V1 = 5 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
17396482581*2^333333-1 is prime! Time: 1256.186 sec.
[Elapsed time: 1257 seconds]
modified2007-09-12 06:50:18
created2007-07-16 11:51:50
id92491

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.