8755721465536 + 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:8755721465536 + 1
Verification status (*):Proven
Official Comment:Generalized Fermat
Proof-code(s): (*):L4745 : Cavnaugh, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR
Decimal Digits:520507   (log10 is 520506.044200731)
Rank (*):2650 (digit rank is 1)
Entrance Rank (*):2570
Currently on list? (*):yes
Submitted:2/26/2020 19:14:51 CDT
Last modified:2/26/2020 21:20:22 CDT
Database id:130675
Status Flags:TrialDiv
Score (*):44.6285 (normalized score 1.5883)

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 379
Subcategory: "Generalized Fermat"
(archival tag id 223891, tag last modified 2020-03-26 21:50:24)

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_id130675
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"87557214^65536+1" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing 87557214^65536+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Calling Brillhart-Lehmer-Selfridge with factored part 61.26%


87557214^65536+1 is prime! (5665.9135s+0.0171s)
[Elapsed time: 1.57 hours]
modified2020-02-26 20:55:27
created2020-02-26 19:21:01
id176361

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