34790! - 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:	34790! - 1
Verification status (*):	Proven
Official Comment (*):	Factorial
Proof-code(s): (*):	p85 : Marchal, Carmody, Kuosa, OpenPFGW
Decimal Digits:	142891 (log₁₀ is 142890.7643689)
Rank (*):	43141 (digit rank is 1)
Entrance Rank (*):	55
Currently on list? (*):	yes
Submitted:	5/21/2002 07:41:30 UTC
Last modified:	3/11/2023 15:54:10 UTC
Database id:	79
Status Flags:	none
Score (*):	40.6535 (normalized score 0.0114)

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 10
Subcategory: "Factorial"
(archival tag id 187420, 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 79

person_id 9

machine WinXP P4 1.8GHz

what prime

notes Primality testing 34790!-1 [N+1, Brillhart-Lehmer-Selfridge] PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 34807, base 1+sqrt(34807) Running N+1 test using discriminant 34807, base 2+sqrt(34807) N+1: 34790!-1 225000/Calling Brillhart-Lehmer-Selfridge with factored part 34.25% 34790!-1 is prime! (103239.710000 seconds) 474679

modified 2003-03-25 17:22:32

created 2003-01-16 08:53:42

id 65956

field	value
prime_id	79
person_id	9
machine	WinXP P4 1.8GHz
what	prime
notes	Primality testing 34790!-1 [N+1, Brillhart-Lehmer-Selfridge] PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 34807, base 1+sqrt(34807) Running N+1 test using discriminant 34807, base 2+sqrt(34807) N+1: 34790!-1 225000/Calling Brillhart-Lehmer-Selfridge with factored part 34.25% 34790!-1 is prime! (103239.710000 seconds) 474679
modified	2003-03-25 17:22:32
created	2003-01-16 08:53:42
id	65956

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