1963! - 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.

Description:1963! - 1
Verification status (*):Proven
Official Comment (*):Factorial
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):CD : Caldwell, Dubner, Cruncher
Decimal Digits:5614   (log10 is 5613.5280486594)
Rank (*):84704 (digit rank is 2)
Entrance Rank (*):115
Currently on list? (*):short
Last modified:10/1992
Database id:23398
Status Flags:none
Score (*):30.6487 (normalized score 0)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Factorial primes (archivable *)
Prime on list: yes, rank 14
Subcategory: "Factorial"
(archival tag id 194990, tag last modified 2016-07-27 01:20:35)

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.

Chris Caldwell writes (11 Sep 2014):  (report abuse)
For more information see [Caldwell95].

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.
machineWindows XP P4 1.8GHz
notesPrimality testing 1963!-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.38% 1963!-1 is prime! (85.016000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 1973, base 1+sqrt(1973) Running N+1 test using discriminant 1973, base 2+sqrt(1973)
modified2003-03-25 11:23:48
created2002-12-27 15:06:53

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