22075092069735 · 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:22075092069735 · 2666666 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L1953 : Reynolds1, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.80699185)
Rank (*):24522 (digit rank is 590)
Entrance Rank (*):3961
Currently on list? (*):no
Submitted:8/16/2011 14:01:56 CDT
Last modified:8/16/2011 15:20:25 CDT
Removed (*):9/27/2011 12:57:33 CDT
Database id:101085
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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 22075092069735 2 666666 -1 2>&1
[Elapsed time: 9.819 seconds]
modified2011-12-27 16:48:30
created2011-08-16 14:05:11

machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 22075092069735*2^666666-1 2>&1
Starting Lucas Lehmer Riesel prime test of 22075092069735*2^666666-1
Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 65536
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

22075092069735*2^666666-1 is prime! Time : 1334.763 sec.
[Elapsed time: 22.25 minutes]
modified2011-12-27 16:48:30
created2011-08-16 14:29:42

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