461589065536 + 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:461589065536 + 1
Verification status (*):Proven
Official Comment (*):Generalized Fermat
Proof-code(s): (*):L4204 : Winslow, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR
Decimal Digits:436749   (log10 is 436748.64521833)
Rank (*):7286 (digit rank is 1)
Entrance Rank (*):1896
Currently on list? (*):no
Submitted:12/15/2015 16:31:14 CDT
Last modified:12/15/2015 17:50:28 CDT
Removed (*):1/31/2020 04:43:48 CDT
Database id:120763
Status Flags:TrialDiv
Score (*):44.0896 (normalized score 0.7133)

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 1858
Subcategory: "Generalized Fermat"
(archival tag id 218147, tag last modified 2021-09-15 20:37:17)

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_id120763
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"4615890^65536+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 4615890^65536+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Calling Brillhart-Lehmer-Selfridge with factored part 41.83% 4615890^65536+1 is prime! (3881.1999s+0.0131s) [Elapsed time: 64.68 minutes]
modified2020-07-07 17:30:17
created2015-12-15 16:41:01
id166392

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.