378296 + 479975120078336

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.

This prime's information:

Description:378296 + 479975120078336
Verification status (*):PRP
Official Comment (*):ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):E4 : Childers, CM
Decimal Digits:37357   (log10 is 37356.685759531)
Rank (*):61852 (digit rank is 1)
Entrance Rank (*):61571
Currently on list? (*):short
Submitted:7/3/2022 00:59:34 CDT
Last modified:7/3/2022 01:37:26 CDT
Database id:134104
Status Flags:Verify, TrialDiv
Score (*):36.5171 (normalized score 0.0002)

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 227153, tag last modified 2022-09-09 14:37:23)

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.

Greg Childers writes (3 Jul 2022):  (report abuse)
Certificate available at factordb.

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_id134104
person_id9
machineUsing: Dual Intel Xeon Gold 5222 CPUs 3.8GHz
whatprp
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tc -q"3^78296+479975120078336" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 3^78296+479975120078336 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N-1 BLS with factored part 0.03% and helper 0.02% (0.10% proof) 3^78296+479975120078336 is Fermat and Lucas PRP! (77.1438s+0.0004s) [Elapsed time: 77.00 seconds]
modified2022-07-11 13:21:44
created2022-07-03 01:01:02
id179849

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.