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8883864262144 + 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:8883864262144 + 1
Verification status (*):Proven
Official Comment (*):Generalized Fermat
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L4715 : Skinner1, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR
Decimal Digits:1821535   (log10 is 1821534.29685721)
Rank (*):114 (digit rank is 1)
Entrance Rank (*):80
Currently on list? (*):short
Submitted:11/6/2019 11:12:25 CDT
Last modified:11/7/2019 10:50:09 CDT
Database id:130088
Status Flags:TrialDiv
Score (*):48.4721 (normalized score 72.3776)

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 23
Subcategory: "Generalized Fermat"
(archival tag id 223605, tag last modified 2020-06-04 13:20:26)

User comments about this prime (disclaimer):

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PrimeGrid writes (24 Dec 2019):  (report abuse)
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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_id130088
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"8883864^262144+1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 8883864^262144+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Calling Brillhart-Lehmer-Selfridge with factored part 51.42%


8883864^262144+1 is prime! (84504.5924s+0.0204s)
[Elapsed time: 23.47 hours]
modified2020-06-10 08:07:57
created2019-11-06 11:13:01
id175773

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.