62631 · 2271845 - 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:62631 · 2271845 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L180 : Felder, NewPGen, LLR
Decimal Digits:81839   (log10 is 81838.295960621)
Rank (*):51448 (digit rank is 1)
Entrance Rank (*):3613
Currently on list? (*):no
Submitted:6/4/2006 23:29:36 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):3/2/2007 22:29:32 UTC
Database id:77901
Status Flags:none
Score (*):38.9366 (normalized score 0.0029)

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 P4 2.2GHz M
notesCommand: pfgw.exe -n -f -tp -q"62631*2^271845-1" 2>&1 PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 62631*2^271845-1 [N+1, Brillhart-Lehmer-Selfridge] trial factoring to 27515691 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 62631*2^271845-1 is prime! (2558.7040s+0.0287s) [Elapsed time: 2559 seconds]
modified2020-07-07 22:30:42
created2006-06-05 21:37:16

machineGenToo P3 400MHz
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 62631 2 271845 -1 2>&1 [Elapsed time: 9.339 seconds]
modified2020-07-07 22:30:42
created2006-07-07 15:09:53

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.