(1027669 + 7)/8313493832818655929448065598763458531111

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:(1027669 + 7)/8313493832818655929448065598763458531111
Verification status (*):PRP
Official Comment (*):ECPP
Proof-code(s): (*):c96 : Reich2, Primo
Decimal Digits:27630   (log10 is 27629.080216421)
Rank (*):64831 (digit rank is 1)
Entrance Rank (*):64313
Currently on list? (*):short
Submitted:2/3/2021 13:01:46 CDT
Last modified:2/3/2021 13:20:30 CDT
Database id:131701
Status Flags:Verify, TrialDiv
Score (*):35.5853 (normalized score 0.0001)

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.
Elliptic Curve Primality Proof (archivable *)
Prime on list: yes, rank 8
Subcategory: "ECPP"
(archival tag id 225850, tag last modified 2021-02-03 13:20:32)

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_id131701
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprp
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tc -q"(10^27669+7)/8313493832818655929448065598763458531111" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing (10^27669+7)/8313493832...3458531111 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.10% proof)


(10^27669+7)/8313493832...3458531111 is Fermat and Lucas PRP! (60.3162s+0.0003s)
[Elapsed time: 60.00 seconds]
modified2021-02-03 13:12:01
created2021-02-03 13:11:01
id177399

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