3 · 24235414 - 1
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
Description:3 · 24235414 - 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L606 : Bennett, Srsieve, NewPGen, PrimeGrid, 321search, LLR
Decimal Digits:1274988   (log10 is 1274987.13517642)
Rank (*):58 (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 49.5929)

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.

PrimeGrid writes (11 Sep 2014): 
For more information, please see the Official Announcement.

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_id84769
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 3 2 4235414 -1 2>&1
[Elapsed time: 11.166 seconds]
modified2011-12-27 16:48:47
created2008-04-16 17:52:02
id98669

fieldvalue
prime_id84769
person_id9
machineDitto P4 P4
whatprime
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]
modified2008-04-18 10:43:08
created2008-04-16 17:38:01
id98668

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.