2189892901455 · 2666668 - 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:2189892901455 · 2666668 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L1367 : Mauno, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.40557219)
Rank (*):25056 (digit rank is 1908)
Entrance Rank (*):2305
Currently on list? (*):no
Submitted:10/25/2010 08:08:18 CDT
Last modified:10/25/2010 09:20:36 CDT
Removed (*):7/14/2011 10:32:03 CDT
Database id:95670
Status Flags:none
Score (*):41.699 (normalized score 0.1083)

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_id95670
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 2189892901455 2 666668 -1 2>&1
[Elapsed time: 9.850 seconds]
modified2011-12-27 16:48:36
created2010-10-25 08:18:12
id120724

fieldvalue
prime_id95670
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/llr.pl 2189892901455*2^666668-1 2>&1
Starting Lucas Lehmer Riesel prime test of 2189892901455*2^666668-1
Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 81920
V1 = 15 ; Computing U0...
V1 = 15 ; Computing U0...done.Starting Lucas-Lehmer loop...


2189892901455*2^666668-1 is prime! Time : 1092.581 sec.
[Elapsed time: 19.07 minutes]
modified2010-11-28 11:14:56
created2010-10-25 08:33:36
id120729

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.