13037209515735 · 2666667 - 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:13037209515735 · 2666667 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L1319 : Cholt, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.87930396)
Rank (*):23988 (digit rank is 186)
Entrance Rank (*):4919
Currently on list? (*):no
Submitted:10/20/2011 02:02:10 CDT
Last modified:10/20/2011 03:20:24 CDT
Removed (*):11/4/2011 13:21:41 CDT
Database id:102529
Status Flags:none
Score (*):41.699 (normalized score 0.0982)

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_id102529
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 13037209515735 2 666667 -1 2>&1
[Elapsed time: 9.812 seconds]
modified2011-12-27 16:48:27
created2011-10-20 02:05:21
id134647

fieldvalue
prime_id102529
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 13037209515735*2^666667-1 2>&1
Starting Lucas Lehmer Riesel prime test of 13037209515735*2^666667-1
Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 65536
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

13037209515735*2^666667-1 is prime! Time : 1324.054 sec.
[Elapsed time: 22.07 minutes]
modified2011-12-27 16:48:27
created2011-10-20 02:29:43
id134652

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.