3958857189 · 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:3958857189 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L266 : Hawryluk, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100353   (log10 is 100352.8291145)
Rank (*):51208 (digit rank is 183)
Entrance Rank (*):3316
Currently on list? (*):no
Submitted:4/17/2007 20:11:09 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):8/6/2007 22:49:27 UTC
Database id:80067
Status Flags:none
Score (*):39.5651 (normalized score 0.0045)

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_id80067
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 3958857189 2 333333 -1 2>&1 [Elapsed time: 9.468 seconds]
modified2020-07-07 22:30:41
created2007-04-17 20:22:02
id89243

fieldvalue
prime_id80067
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 3958857189*2^333333-1 2>&1 Starting Lucas Lehmer Riesel prime test of 3958857189*2^333333-1 V1 = 3 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 3958857189*2^333333-1 is prime! Time : 571.496 sec. [Elapsed time: 572 seconds]
modified2020-07-07 22:30:41
created2007-04-17 21:33:32
id89247

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