Phi(1087, - 10000)

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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:	Phi(1087, - 10000)
Verification status (*):	PRP
Official Comment (*):	Unique, ECPP
Unofficial Comments:	This prime has 1 user comment below.
Proof-code(s): (*):	c8 : Broadhurst, Water, Primo
Decimal Digits:	4344 (log₁₀ is 4343.9999565727)
Rank (*):	93053 (digit rank is 1)
Entrance Rank (*):	26438
Currently on list? (*):	no
Submitted:	11/15/2002 21:52:48 UTC
Last modified:	3/11/2023 15:54:10 UTC
Database id:	60802
Status Flags:	Verify
Score (*):	29.8521 (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.

Unique (archivable *)
Prime on list: no, rank 29
Subcategory: "Unique"
(archival tag id 210387, tag last modified 2023-05-15 15:37:15)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 602
Subcategory: "ECPP"
(archival tag id 210386, tag last modified 2024-04-19 02:37:11)

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.

David Broadhurst writes (11 Sep 2014): (report abuse)

certificate

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 60802

person_id 9

machine Linux PII 200

what prp

notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 19 Primality testing Phi(1087,-10000) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 47, base 1+sqrt(47) Calling N-1 BLS with factored part 0.81% and helper 0.01% (2.45% proof) Phi(1087,-10000) is Fermat and Lucas PRP! (295.680000 seconds)

modified 2003-03-25 17:22:56

created 2003-01-05 05:33:54

id 62170

field	value
prime_id	60802
person_id	9
machine	Linux PII 200
what	prp
notes	PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 19 Primality testing Phi(1087,-10000) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Running N+1 test using discriminant 47, base 1+sqrt(47) Calling N-1 BLS with factored part 0.81% and helper 0.01% (2.45% proof) Phi(1087,-10000) is Fermat and Lucas PRP! (295.680000 seconds)
modified	2003-03-25 17:22:56
created	2003-01-05 05:33:54
id	62170

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.