63 · 2323432 - 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:63 · 2323432 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L145 : Minovic, Ksieve, NewPGen, Rieselprime, LLR
Decimal Digits:97365   (log10 is 97364.532898142)
Rank (*):51923 (digit rank is 1)
Entrance Rank (*):1847
Currently on list? (*):no
Submitted:12/21/2005 09:28:03 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):6/19/2007 03:45:25 UTC
Database id:76512
Status Flags:none
Score (*):39.4719 (normalized score 0.0041)

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_id76512
person_id9
machineLinux P4 2.8GHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv 63 2 323432 -1 2>&1 [Elapsed time: 15.801 seconds]
modified2020-07-07 22:30:43
created2005-12-21 09:52:01
id81777

fieldvalue
prime_id76512
person_id9
machineWinXP Pentium M 1.7GHz
whatprime
notesCommand: pfgw.exe -n -f -tp -q"63*2^323432-1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 33129243 Running N+1 test using discriminant 5, base 1+sqrt(5) N+1: 63*2^Primality testing 63*2^323432-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 63*2^323432-1 is prime! (3242.2163s+0.0012s) 323432-1[Elapsed time: 3243 seconds]
modified2020-07-07 22:30:43
created2005-12-21 10:48:00
id81780

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