46371508131072 + 1
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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:46371508131072 + 1
Verification status (*):Proven
Official Comment:Generalized Fermat
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L4620 : Kinney, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR
Decimal Digits:1004831   (log10 is 1004830.87982507)
Rank (*):388 (digit rank is 1)
Entrance Rank (*):235
Currently on list? (*):short
Submitted:5/29/2017 12:48:29 CDT
Last modified:5/29/2017 19:20:16 CDT
Database id:123405
Status Flags:TrialDiv
Score (*):46.6478 (normalized score 15.4089)

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 87
Subcategory: "Generalized Fermat"
(archival tag id 218722, tag last modified 2018-12-15 17:20:20)

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.

PrimeGrid writes (30 May 2017): 
For more information, please see the Official Announcement.

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"46371508^131072+1" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing 46371508^131072+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 71.69%

46371508^131072+1 is prime! (22247.6188s+0.0305s)
[Elapsed time: 6.18 hours]
modified2017-08-07 13:02:22
created2017-05-29 12:51:01

Query times: 0.0004 seconds to select prime, 0.0009 seconds to seek comments.