primU(62373)

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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:	primU(62373)
Verification status (*):	PRP
Official Comment (*):	Fibonacci primitive part, ECPP
Proof-code(s): (*):	c8 : Broadhurst, Water, Primo
Decimal Digits:	8173 (log₁₀ is 8172.1357390844)
Rank (*):	85571 (digit rank is 2)
Entrance Rank (*):	67088
Currently on list? (*):	no
Submitted:	10/1/2013 22:46:34 UTC
Last modified:	5/20/2023 20:59:19 UTC
Database id:	115750
Status Flags:	Verify
Score (*):	31.8142 (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.

Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 401
Subcategory: "ECPP"
(archival tag id 217257, tag last modified 2024-12-16 19:37:11)
Fibonacci Primitive Part (archivable *)
Prime on list: no, rank 24
Subcategory: "Fibonacci Primitive Part"
(archival tag id 217258, tag last modified 2024-10-14 00:37:17)

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 115750

person_id 9

machine WinXP Dual Core 2.6GHz 64-bit Laptop

what prp

notes Command: pfgw64.exe -tc p_115750.txt 2>&1 PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8] Primality testing 1366907367...5314393761 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Running N+1 test using discriminant 29, base 4+sqrt(29) Calling N-1 BLS with factored part 0.99% and helper 0.05% (3.05% proof) 1366907367...5314393761 is Fermat and Lucas PRP! (7.4291s+0.0759s) [Elapsed time: 7 seconds]

modified 2020-07-07 22:30:18

created 2013-10-01 22:51:17

id 161245

field	value
prime_id	115750
person_id	9
machine	WinXP Dual Core 2.6GHz 64-bit Laptop
what	prp
notes	Command: pfgw64.exe -tc p_115750.txt 2>&1 PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8] Primality testing 1366907367...5314393761 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Running N+1 test using discriminant 29, base 4+sqrt(29) Calling N-1 BLS with factored part 0.99% and helper 0.05% (3.05% proof) 1366907367...5314393761 is Fermat and Lucas PRP! (7.4291s+0.0759s) [Elapsed time: 7 seconds]
modified	2020-07-07 22:30:18
created	2013-10-01 22:51:17
id	161245

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