6 · 177717 + 1

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:6 · 177717 + 1
Verification status (*):Proven
Official Comment (*):Divides Phi(17^7717,2)
Proof-code(s): (*):gk : Keller, Proth.exe
Decimal Digits:9497   (log10 is 9496.1524775265)
Rank (*):79426 (digit rank is 2)
Entrance Rank (*):4347
Currently on list? (*):no
Submitted:8/4/1999 09:54:17 CDT
Last modified:8/4/1999 09:54:17 CDT
Database id:18014
Status Flags:none
Score (*):32.2798 (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.
Divides Phi (archivable *)
Prime on list: no, rank 153
Subcategory: "Divides Phi"
(archival tag id 194368, tag last modified 2020-05-22 18:20:06)

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_id18014
person_id9
machineLinux PII 200
whatprime
notesPFGW Version 1.1 for Pentium and compatibles Running N-1 test using base 3 Primality testing 6*17^7717+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 6*17^7717+1 is prime! (219.840000 seconds)
modified2003-03-25 11:24:58
created2002-12-13 05:02:39
id39732

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.