9 · 21419855 - 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:9 · 21419855 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L323 : Minovic, Srsieve, NewPGen, Rieselprime, LLR
Decimal Digits:427420   (log10 is 427419.89873599)
Rank (*):5086 (digit rank is 1)
Entrance Rank (*):132
Currently on list? (*):no
Submitted:11/24/2009 04:03:33 CDT
Last modified:11/24/2009 05:20:29 CDT
Removed (*):8/3/2019 09:05:04 CDT
Database id:90980
Status Flags:none
Score (*):44.0233 (normalized score 0.9864)

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_id90980
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 9 2 1419855 -1 2>&1
[Elapsed time: 10.769 seconds]
modified2011-12-27 16:48:41
created2009-11-24 04:05:01
id111335

fieldvalue
prime_id90980
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 9*2^1419855-1 2>&1
Starting Lucas Lehmer Riesel prime test of 9*2^1419855-1
Using Irrational Base DWT : Mersenne fftlen = 81920, Used fftlen = 81920
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

9*2^1419855-1 is prime! Time : 3341.813 sec.
[Elapsed time: 55.70 minutes]
modified2009-11-24 13:57:49
created2009-11-24 04:08:02
id111336

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.