471 · 21320865 + 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:471 · 21320865 + 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1935 : Channing, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:397623   (log10 is 397622.65824361)
Rank (*):6649 (digit rank is 1)
Entrance Rank (*):401
Currently on list? (*):no
Submitted:1/11/2012 23:36:42 CDT
Last modified:1/12/2012 07:59:19 CDT
Removed (*):2/16/2018 06:16:31 CDT
Database id:103910
Status Flags:none
Score (*):43.8012 (normalized score 0.7786)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Rick Channing writes (11 Sep 2014): 
Divides xGF(1320860,3,2)

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 471 2 1320865 1 2>&1
[Elapsed time: 9.934 seconds]
modified2012-02-19 19:07:48
created2012-01-11 23:48:01

machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -t -q"471*2^1320865+1" 2>&1
PFGW Version [GWNUM 26.5]
Primality testing 471*2^1320865+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
471*2^1320865+1 is prime! (4118.7771s+0.0011s)
[Elapsed time: 68.63 minutes]
modified2012-02-19 19:07:48
created2012-01-11 23:53:02

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.