23694521929785 · 2666666 - 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.

Description:23694521929785 · 2666666 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2584 : Pethe, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.83773727)
Rank (*):25416 (digit rank is 428)
Entrance Rank (*):4461
Currently on list? (*):no
Submitted:9/4/2011 12:38:47 CDT
Last modified:9/4/2011 13:20:47 CDT
Removed (*):10/13/2011 03:21:44 CDT
Database id:101760
Status Flags:none
Score (*):41.699 (normalized score 0.0821)

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_id101760
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/llr.pl 23694521929785*2^666666-1 2>&1 Starting Lucas Lehmer Riesel prime test of 23694521929785*2^666666-1 Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 81920 V1 = 9 ; Computing U0... V1 = 9 ; Computing U0...done.Starting Lucas-Lehmer loop... 23694521929785*2^666666-1 is prime! Time : 1092.143 sec. [Elapsed time: 18.22 minutes]
modified2020-07-07 17:30:31
created2011-09-04 12:46:58
id133067

fieldvalue
prime_id101760
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 23694521929785 2 666666 -1 2>&1 [Elapsed time: 9.894 seconds]
modified2020-07-07 17:30:31
created2011-09-04 12:48:22
id133070

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.