Phi(6685, - 10)

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.

Description:Phi(6685, - 10)
Verification status (*):PRP
Official Comment (*):Unique, ECPP
Proof-code(s): (*):c8 : Broadhurst, Water, Primo
Decimal Digits:4560   (log10 is 4559.9586117012)
Rank (*):87292 (digit rank is 1)
Entrance Rank (*):28211
Currently on list? (*):no
Submitted:3/31/2003 06:34:52 CDT
Last modified:3/31/2003 06:34:52 CDT
Database id:64262
Status Flags:Verify
Score (*):30.0029 (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 21
Subcategory: "Unique"
(archival tag id 210380, tag last modified 2021-06-05 00:37:32)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 473
Subcategory: "ECPP"
(archival tag id 210379, tag last modified 2021-06-15 13:07:45)

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.
machineLinux P4 2.8GHz
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 2 Primality testing Phi(6685,-10) [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 1.02% Phi(6685,-10) is PRP! (13.180000 seconds)
modified2020-07-07 17:30:48
created2003-03-31 11:59:26

Query times: 0.0005 seconds to select prime, 0.0009 seconds to seek comments.
Printed from the PrimePages <> © Chris Caldwell.