primV(58672)

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(58672)
Verification status (*):PRP
Official Comment (*):Lucas primitive part, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c74 : Lasher, Dubner, Primo
Decimal Digits:11557   (log10 is 11556.180555352)
Rank (*):75433 (digit rank is 3)
Entrance Rank (*):67621
Currently on list? (*):short
Submitted:2/26/2015 07:29:11 CDT
Last modified:2/26/2015 07:50:26 CDT
Database id:119455
Status Flags:Verify, TrialDiv
Score (*):32.8883 (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 20
Subcategory: "Lucas primitive part"
(archival tag id 217906, tag last modified 2019-05-14 22:20:24)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 139
Subcategory: "ECPP"
(archival tag id 217907, tag last modified 2021-01-04 08:20:12)

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.

David Broadhurst writes (3 Mar 2015):  (report abuse)
certificate

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_id119455
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprp
notesPFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 1515497945...4249139201 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 29 Running N+1 test using discriminant 37, base 14+sqrt(37) Calling N-1 BLS with factored part 1.10% and helper 0.06% (3.37% proof) 1515497945...4249139201 is Fermat and Lucas PRP! (9.2877s+0.0037s) [Elapsed time: 10.00 seconds]
modified2020-07-07 17:30:17
created2015-02-26 07:31:01
id165062

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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