13544673753555 · 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:13544673753555 · 2666667 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L927 : Brown1, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.89588787)
Rank (*):24021 (digit rank is 92)
Entrance Rank (*):4966
Currently on list? (*):no
Submitted:11/7/2011 06:54:53 CDT
Last modified:11/7/2011 07:50:51 CDT
Removed (*):11/9/2011 16:35:56 CDT
Database id:102769
Status Flags:none
Score (*):41.699 (normalized score 0.0962)

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_id102769
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 13544673753555 2 666667 -1 2>&1
[Elapsed time: 9.858 seconds]
modified2011-12-27 16:48:26
created2011-11-07 07:05:11
id135129

fieldvalue
prime_id102769
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 13544673753555*2^666667-1 2>&1
Starting Lucas Lehmer Riesel prime test of 13544673753555*2^666667-1
Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 65536
V1 = 9 ; Computing U0...
V1 = 9 ; Computing U0...done.
Starting Lucas-Lehmer loop...

13544673753555*2^666667-1 is prime! Time : 1962.726 sec.
[Elapsed time: 32.70 minutes]
modified2011-12-27 16:48:26
created2011-11-07 07:12:06
id135133

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.