primA(196035)

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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:	primA(196035)
Verification status (*):	PRP
Official Comment (*):	Lucas Aurifeuillian primitive part, ECPP
Proof-code(s): (*):	c8 : Broadhurst, Water, Primo
Decimal Digits:	9359 (log₁₀ is 9358.433314788)
Rank (*):	83448 (digit rank is 2)
Entrance Rank (*):	67828
Currently on list? (*):	no
Submitted:	5/31/2014 17:17:57 UTC
Last modified:	5/20/2023 20:59:19 UTC
Database id:	117942
Status Flags:	Verify
Score (*):	32.2345 (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.

Lucas Aurifeuillian primitive part (archivable *)
Prime on list: no, rank 22
Subcategory: "Lucas Aurifeuillian primitive part"
(archival tag id 217713, tag last modified 2024-03-24 06:37:15)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 345
Subcategory: "ECPP"
(archival tag id 217714, tag last modified 2024-04-19 02:37:11)

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 117942

person_id 9

machine Ditto P4 P4

what prp

notes PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 2712156761...8833899321 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 37, base 12+sqrt(37) Calling N-1 BLS with factored part 0.16% and helper 0.05% (0.53% proof) 2712156761...8833899321 is Fermat and Lucas PRP! (31.9136s+0.0030s) [Elapsed time: 32.00 seconds]

modified 2020-07-07 22:30:17

created 2014-05-31 18:02:01

id 163493

field	value
prime_id	117942
person_id	9
machine	Ditto P4 P4
what	prp
notes	PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 2712156761...8833899321 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 37, base 12+sqrt(37) Calling N-1 BLS with factored part 0.16% and helper 0.05% (0.53% proof) 2712156761...8833899321 is Fermat and Lucas PRP! (31.9136s+0.0030s) [Elapsed time: 32.00 seconds]
modified	2020-07-07 22:30:17
created	2014-05-31 18:02:01
id	163493

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.