3 · 24235414 - 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:3 · 24235414 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L606 : Bennett, Srsieve, NewPGen, PrimeGrid, 321search, LLR
Decimal Digits:1274988   (log10 is 1274987.1351764)
Rank (*):328 (digit rank is 1)
Entrance Rank (*):14
Currently on list? (*):short
Submitted:4/16/2008 17:30:01 CDT
Last modified:4/17/2008 01:02:05 CDT
Database id:84769
Status Flags:none
Score (*):47.3782 (normalized score 18.7677)

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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.
machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 3*2^4235414-1 2>&1 Starting Lucas Lehmer Riesel prime test of 3*2^4235414-1 Using Irrational Base DWT : Mersenne fftlen = 229376, Used fftlen = 229376 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... -355.789 ms. *2^4235414-1 is prime! Time : 26643.576 sec. [Elapsed time: 7.40 hours]
modified2020-07-07 17:30:39
created2008-04-16 17:38:01

machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 3 2 4235414 -1 2>&1 [Elapsed time: 11.166 seconds]
modified2020-07-07 17:30:39
created2008-04-16 17:52:02

Query times: 0.0006 seconds to select prime, 0.0009 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.