29450912661 · 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:29450912661 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L239 : Erickson, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.70064342)
Rank (*):47369 (digit rank is 677)
Entrance Rank (*):4315
Currently on list? (*):no
Submitted:12/31/2007 01:15:25 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):2/22/2008 16:31:25 UTC
Database id:83425
Status Flags:none
Score (*):39.5651 (normalized score 0.0053)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Thomas Wolter writes (11 Sep 2014):  (report abuse)
Arithmetic progression (2,d=2052418275*2^333336)

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 29450912661 2 333333 -1 2>&1 [Elapsed time: 9.215 seconds]
modified2020-07-07 22:30:40
created2007-12-31 01:22:02

machineRedHat P4 P4
notesCommand: /home/caldwell/client/llr.pl 29450912661*2^333333-1 2>&1 Starting Lucas Lehmer Riesel prime test of 29450912661*2^333333-1 V1 = 5 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 29450912661*2^333333-1 is prime! Time: 1253.585 sec. [Elapsed time: 20.90 minutes]
modified2020-07-07 22:30:40
created2007-12-31 01:23:01

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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