1477! + 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:	1477! + 1
Verification status (*):	Proven
Official Comment (*):	Factorial
Unofficial Comments:	This prime has 1 user comment below.
Proof-code(s): (*):	D : Dubner, Cruncher
Decimal Digits:	4042 (log₁₀ is 4041.7058464897)
Rank (*):	94275 (digit rank is 1)
Entrance Rank (*):	7
Currently on list? (*):	yes
Submitted:	1984
Last modified:	3/11/2023 15:54:10 UTC
Database id:	27279
Status Flags:	none
Score (*):	29.6278 (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 18
Subcategory: "Factorial"
(archival tag id 195594, tag last modified 2023-03-11 15:53:59)

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 [Dubner85].

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 27279

person_id 9

machine Linux PII 200

what prime

notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 1481 Primality testing 1477!+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.90% 1477!+1 is prime! (57.320000 seconds)

modified 2003-03-25 17:23:35

created 2002-12-28 14:28:30

id 55779

field	value
prime_id	27279
person_id	9
machine	Linux PII 200
what	prime
notes	PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 1481 Primality testing 1477!+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.90% 1477!+1 is prime! (57.320000 seconds)
modified	2003-03-25 17:23:35
created	2002-12-28 14:28:30
id	55779

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.