Phi(6685, - 10)
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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 databases at The Prime Pages: 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:

field (help)value
Description:Phi(6685, - 10)
Verification status (*):PRP
Official Comment:Unique, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c8 : Water, Broadhurst, Primo
Decimal Digits:4560   (log10 is 4559.95861170119)
Rank (*):83846 (digit rank is 1)
Entrance Rank (*):28211
Currently on list? (*):short
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: yes, rank 19
Subcategory: "Unique"
(archival tag id 210380, tag last modified 2014-05-20 07:51:28)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 430
Subcategory: "ECPP"
(archival tag id 210379, tag last modified 2018-09-22 16:20:28)

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): 

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)
modified2003-03-31 11:59:40
created2003-03-31 11:59:26

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.