1063730131072 + 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.

This prime's information:

Description:1063730131072 + 1
Verification status (*):Proven
Official Comment (*):Generalized Fermat
Proof-code(s): (*):g260 : AYENI, Proth.exe
Decimal Digits:789949   (log10 is 789948.84626576)
Rank (*):2862 (digit rank is 1)
Entrance Rank (*):104
Currently on list? (*):yes
Submitted:4/11/2013 14:23:04 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:112392
Status Flags:none
Score (*):45.9094 (normalized score 3.1368)

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.
Generalized Fermat (archivable *)
Prime on list: no, rank 907
Subcategory: "Generalized Fermat"
(archival tag id 216182, tag last modified 2023-03-21 08:37:20)

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1 1063730 131072 1 2>&1 [Elapsed time: 8.159 seconds]
modified2020-07-07 22:30:21
created2013-04-11 14:24:02

machineWinXP Dual Core 2.6GHz 32-bit
notesCommand: pfgw32.exe -t -q"1063730^131072+1" 2>&1 PFGW Version [GWNUM 27.8] Primality testing 1063730^131072+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 83.41% 1063730^131072+1 is prime! (96443.2267s+0.0720s) [Elapsed time: 96442 seconds]
modified2020-07-07 22:30:21
created2013-04-11 15:31:49

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.