25013961921 · 2333333 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: 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:

Description:25013961921 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L271 : Klahn, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.62972715)
Rank (*):47740 (digit rank is 1040)
Entrance Rank (*):4062
Currently on list? (*):no
Submitted:10/31/2007 13:31:06 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):1/31/2008 15:30:19 UTC
Database id:82808
Status Flags:none
Score (*):39.5651 (normalized score 0.0053)

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.
machineWinXP Pent_M 1.7GHz Laptop
notesCommand: pfgw.exe -n -tp -q"25013961921*2^333333-1" 2>&1 Primality testing 25013961921*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 11, base 1+sqrt(11) N+1: 25013961921*2^333333-1Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 25013961921*2^333333-1 is prime! (10286.1941s+0.0023s) [Elapsed time: 10287 seconds]
modified2020-07-07 22:30:40
created2007-10-31 13:43:43

machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 25013961921 2 333333 -1 2>&1 [Elapsed time: 9.648 seconds]
modified2020-07-07 22:30:40
created2007-10-31 13:52:11

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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