6380! + 1

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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:	6380! + 1
Verification status (*):	Proven
Official Comment (*):	Factorial
Proof-code(s): (*):	g1 : Caldwell, Proth.exe
Decimal Digits:	21507 (log₁₀ is 21506.258641644)
Rank (*):	73519 (digit rank is 1)
Entrance Rank (*):	170
Currently on list? (*):	yes
Submitted:	10/1998
Last modified:	3/11/2023 15:54:10 UTC
Database id:	8220
Status Flags:	none
Score (*):	34.8108 (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 192117, tag last modified 2023-03-11 15:53:59)

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.

field value

prime_id 8220

person_id 9

machine WinXP Athlon 1.3GHz

what prime

notes PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 6397 Primality testing 6380!+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 6421 Calling Brillhart-Lehmer-Selfridge with factored part 33.43% 6380!+1 is prime! (401.256000 seconds)

modified 2003-03-25 17:23:14

created 2002-12-31 21:49:49

id 58902

field	value
prime_id	8220
person_id	9
machine	WinXP Athlon 1.3GHz
what	prime
notes	PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 6397 Primality testing 6380!+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 6421 Calling Brillhart-Lehmer-Selfridge with factored part 33.43% 6380!+1 is prime! (401.256000 seconds)
modified	2003-03-25 17:23:14
created	2002-12-31 21:49:49
id	58902

Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.