p(80036992)

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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:	p(80036992)
Verification status (*):	PRP
Official Comment (*):	Partitions, ECPP
Proof-code(s): (*):	c46 : Boncompagni, Primo
Decimal Digits:	9958 (log₁₀ is 9957.5555772841)
Rank (*):	83099 (digit rank is 1)
Entrance Rank (*):	55633
Currently on list? (*):	no
Submitted:	11/2/2011 18:34:27 UTC
Last modified:	3/11/2023 15:54:10 UTC
Database id:	102651
Blob database id:	273
Status Flags:	Verify
Score (*):	32.4269 (normalized score 0)

Description: (from blob table id=273)

Certificate

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 335
Subcategory: "ECPP"
(archival tag id 213578, tag last modified 2024-04-24 05:37:25)
Partitions (archivable *)
Prime on list: no, rank 56
Subcategory: "Partitions"
(archival tag id 213579, 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 102651

person_id 9

machine Ditto P4 P4

what trial_divided

notes PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 3593815394917215....4931992143262381 1/1 mro=0 trial factoring to 2860193 3593815394...2143262381 has no small factor. [Elapsed time: 11.982 seconds]

modified 2020-07-07 22:30:30

created 2011-11-02 18:35:01

id 134893

field	value
prime_id	102651
person_id	9
machine	Ditto P4 P4
what	trial_divided
notes	PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 3593815394917215....4931992143262381 1/1 mro=0 trial factoring to 2860193 3593815394...2143262381 has no small factor. [Elapsed time: 11.982 seconds]
modified	2020-07-07 22:30:30
created	2011-11-02 18:35:01
id	134893

field value

prime_id 102651

person_id 9

machine Ditto P4 P4

what prp

notes PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 3593815394...2143262381 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N-1 BLS with factored part 0.04% and helper 0.02% (0.14% proof) 3593815394...2143262381 is Fermat and Lucas PRP! (39.4627s+0.0033s) [Elapsed time: 39.00 seconds]

modified 2020-07-07 22:30:30

created 2011-11-02 18:38:02

id 134894

field	value
prime_id	102651
person_id	9
machine	Ditto P4 P4
what	prp
notes	PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 3593815394...2143262381 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N-1 BLS with factored part 0.04% and helper 0.02% (0.14% proof) 3593815394...2143262381 is Fermat and Lucas PRP! (39.4627s+0.0033s) [Elapsed time: 39.00 seconds]
modified	2020-07-07 22:30:30
created	2011-11-02 18:38:02
id	134894

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