25035164049 · 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:25035164049 · 2333333 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L269 : Courty, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.6300951)
Rank (*):42061 (digit rank is 1035)
Entrance Rank (*):4057
Currently on list? (*):no
Submitted:10/31/2007 04:51:03 CDT
Last modified:10/31/2007 21:31:57 CDT
Removed (*):1/31/2008 14:18:18 CDT
Database id:82805
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_id82805
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 25035164049 2 333333 -1 2>&1
[Elapsed time: 9.344 seconds]
modified2011-12-27 16:48:49
created2007-10-31 04:52:01
id94724

fieldvalue
prime_id82805
person_id9
machineWinXP Pent_M 1.7GHz Laptop
whatprime
notesCommand: pfgw.exe -n -tp -q"25035164049*2^333333-1" 2>&1
Primality testing 25035164049*2^333333-1 [N+1, Brillhart-Lehmer-Selfridge]
PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Running N+1 test using discriminant 5, base 1+sqrt(5)
N+1: 25035164049*2^333333-1 2Calling Brillhart-Lehmer-Selfridge with factored part 99.99%
25035164049*2^333333-1 is prime! (11105.4647s+0.0564s)
25000/333369
[Elapsed time: 11107 seconds]
modified2011-12-27 16:48:49
created2007-10-31 18:26:47
id94737

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