4253746719 · 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.

Description:4253746719 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L299 : Schaefer, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100353   (log10 is 100352.86031629)
Rank (*):47545 (digit rank is 148)
Entrance Rank (*):3342
Currently on list? (*):no
Submitted:4/22/2007 03:01:40 CDT
Last modified:4/22/2007 03:53:30 CDT
Removed (*):8/14/2007 13:00:38 CDT
Database id:80151
Status Flags:none
Score (*):39.5651 (normalized score 0.0065)

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 4253746719 2 333333 -1 2>&1 [Elapsed time: 9.483 seconds]
modified2020-07-07 17:30:41
created2007-04-22 03:22:11

machineRedHat P4 P4
notesCommand: /home/caldwell/client/llr.pl 4253746719*2^333333-1 2>&1 Starting Lucas Lehmer Riesel prime test of 4253746719*2^333333-1 V1 = 3 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 4253746719*2^333333-1 is prime! Time : 576.247 sec. [Elapsed time: 577 seconds]
modified2020-07-07 17:30:41
created2007-04-22 03:43:53

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