(264 - 189) · 10476124 + 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: 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:

Description:(264 - 189) · 10476124 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p342 : Trice, OpenPFGW
Decimal Digits:476144   (log10 is 476143.26591972)
Rank (*):10573 (digit rank is 1)
Entrance Rank (*):416
Currently on list? (*):no
Submitted:1/4/2013 00:39:28 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):3/13/2021 20:22:28 UTC
Database id:110546
Status Flags:none
Score (*):44.3549 (normalized score 0.523)

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/pfgw -o -f -q"(2^64-189)*10^476124+1" 2>&1 PFGW Version [GWNUM 26.5] (2^64-189)*10^476124+1 1/1 mro=0 trial factoring to 179586926 (2^64-189)*10^476124+1 has no small factor. [Elapsed time: 6196.766 seconds]
modified2020-07-07 22:30:23
created2013-01-04 00:48:02

machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -t -q"(2^64-189)*10^476124+1" 2>&1 PFGW Version [GWNUM 26.5] Primality testing (2^64-189)*10^476124+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 69.89% (2^64-189)*10^476124+1 is prime! (71573.4359s+0.0434s) [Elapsed time: 19.88 hours]
modified2020-07-07 22:30:23
created2013-01-04 00:53:01

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