383731 · 23021377 - 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:383731 · 23021377 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L466 : Zhou, NewPGen, LLR
Decimal Digits:909531   (log10 is 909530.68923614)
Rank (*):1159 (digit rank is 1)
Entrance Rank (*):38
Currently on list? (*):short
Submitted:2/10/2011 21:01:57 CDT
Last modified:2/11/2011 03:50:25 CDT
Database id:98189
Status Flags:none
Score (*):46.342 (normalized score 7.2157)

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_id98189
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 383731 2 3021377 -1 2>&1 [Elapsed time: 10.521 seconds]
modified2020-07-07 17:30:32
created2011-02-10 21:05:01
id125767

fieldvalue
prime_id98189
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/llr.pl 383731*2^3021377-1 2>&1 Starting Lucas Lehmer Riesel prime test of 383731*2^3021377-1 Using Zero Padded IBDWT : Mersenne fftlen = 163840, Used fftlen = 327680 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 383731*2^3021377-1 is prime! Time : 20126.056 sec. [Elapsed time: 5.59 hours]
modified2020-07-07 17:30:32
created2011-02-10 21:46:34
id125770

Query times: 0.0006 seconds to select prime, 0.001 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.