primV(120258)

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:primV(120258)
Verification status (*):PRP
Official Comment (*):Lucas primitive part, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c77 : Batalov, Primo
Decimal Digits:15649   (log10 is 15648.994501905)
Rank (*):71447 (digit rank is 1)
Entrance Rank (*):68385
Currently on list? (*):short
Submitted:5/4/2019 12:27:23 CDT
Last modified:5/4/2019 12:50:19 CDT
Database id:126442
Status Flags:Verify, TrialDiv
Score (*):33.8272 (normalized score 0)

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.
Lucas primitive part (archivable *)
Prime on list: yes, rank 7
Subcategory: "Lucas primitive part"
(archival tag id 220247, tag last modified 2021-02-13 15:20:13)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 74
Subcategory: "ECPP"
(archival tag id 220248, tag last modified 2021-09-18 09:37:41)

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.

Serge Batalov writes (4 May 2019):  (report abuse)
Certificate is 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_id126442
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprp
notesPFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 9874199678...2206438401 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Running N-1 test using base 29 Running N+1 test using discriminant 67, base 3+sqrt(67) Calling N-1 BLS with factored part 1.51% and helper 0.04% (4.57% proof) 9874199678...2206438401 is Fermat and Lucas PRP! (21.0205s+0.0053s) [Elapsed time: 21.00 seconds]
modified2020-07-07 17:30:13
created2019-05-04 12:31:02
id172126

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.