13531895516055 · 2666666 - 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:13531895516055 · 2666666 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L927 : Brown1, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.59444796)
Rank (*):24959 (digit rank is 1406)
Entrance Rank (*):3022
Currently on list? (*):no
Submitted:2/23/2011 09:00:22 CDT
Last modified:2/23/2011 10:20:58 CDT
Removed (*):8/29/2011 19:52:00 CDT
Database id:98762
Status Flags:none
Score (*):41.699 (normalized score 0.1023)

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_id98762
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 13531895516055 2 666666 -1 2>&1
[Elapsed time: 9.817 seconds]
modified2011-12-27 16:48:34
created2011-02-23 09:06:02
id126901

fieldvalue
prime_id98762
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 13531895516055*2^666666-1 2>&1
Starting Lucas Lehmer Riesel prime test of 13531895516055*2^666666-1
Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 65536
V1 = 11 ; Computing U0...
V1 = 11 ; Computing U0...done.
Starting Lucas-Lehmer loop...

13531895516055*2^666666-1 is prime! Time : 1325.049 sec.
[Elapsed time: 22.10 minutes]
modified2011-03-25 10:27:29
created2011-02-23 09:32:35
id126906

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