815730721 · 22095440 + 1

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Description:815730721 · 22095440 + 1
Verification status (*):Proven
Official Comment (*):Generalized Fermat
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L466 : Zhou, NewPGen, LLR
Decimal Digits:630800   (log10 is 630799.205660952)
Rank (*):1885 (digit rank is 1)
Entrance Rank (*):1373
Currently on list? (*):yes
Submitted:3/15/2019 11:08:08 CDT
Last modified:3/15/2019 12:20:21 CDT
Database id:126314
Status Flags:TrialDiv
Score (*):45.2187 (normalized score 2.7728)

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 360
Subcategory: "Generalized Fermat"
(archival tag id 220177, tag last modified 2020-08-02 04:20:10)

User comments about this prime (disclaimer):

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Lei Zhou writes (15 Mar 2019):  (report abuse)
815730721*2^2095440+1 is a Generalized Fermat Prime.

815730721*2^2095440+1 = (13*2^261930)^8+1

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_id126314
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"815730721*2^2095440+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 815730721*2^2095440+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 815730721*2^2095440+1 is prime! (2725.1668s+0.0010s) [Elapsed time: 45.43 minutes]
modified2020-07-07 17:30:13
created2019-03-15 11:11:01
id171993

Query times: 0.0008 seconds to select prime, 0.0007 seconds to seek comments.
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