1199891135835 · 21290000 - 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:1199891135835 · 21290000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3380 : Yoshigoe, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.77354838)
Rank (*):9292 (digit rank is 701)
Entrance Rank (*):1619
Currently on list? (*):no
Submitted:1/17/2014 16:00:54 CDT
Last modified:1/17/2014 18:50:57 CDT
Removed (*):3/8/2016 05:32:58 CDT
Database id:116926
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.7241)

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_id116926
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 1199891135835*2^1290000-1 2>&1
Starting Lucas Lehmer Riesel prime test of 1199891135835*2^1290000-1
Using Zero Padded IBDWT : Mersenne fftlen = 65536, Used fftlen = 131072
V1 = 15 ; Computing U0...
V1 = 15 ; Computing U0...done.
Starting Lucas-Lehmer loop...

1199891135835*2^1290000-1 is prime! Time : 5812.216 sec.
[Elapsed time: 1.61 hours]
modified2014-04-01 17:37:38
created2014-01-17 17:03:01
id162437

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.