Phi(14943, - 100)

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(14943, - 100)
Verification status (*):PRP
Official Comment (*):Unique, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c47 : Chandler, Primo
Decimal Digits:18688   (log10 is 18687.99567906)
Rank (*):74534 (digit rank is 1)
Entrance Rank (*):58759
Currently on list? (*):short
Submitted:3/2/2014 23:02:56 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:117359
Status Flags:Verify
Score (*):34.3764 (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 107
Subcategory: "ECPP"
(archival tag id 217635, tag last modified 2024-03-24 06:37:14)
Unique (archivable *)
Prime on list: yes, rank 10
Subcategory: "Unique"
(archival tag id 217636, tag last modified 2023-05-15 15:37:15)

User comments about this prime (disclaimer):

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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.
fieldvalue
prime_id117359
person_id9
machineDitto P4 P4
whatprp
notesCommand: /home/ditto/client/pfgw -t -q"Phi(14943,-100)" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing Phi(14943,-100) [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Calling Brillhart-Lehmer-Selfridge with factored part 0.23% Phi(14943,-100) is PRP! (38.9582s+0.0043s) [Elapsed time: 39.00 seconds]
modified2020-07-07 22:30:17
created2014-03-02 23:08:02
id162878

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