primV(63119)

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:primV(63119)
Verification status (*):PRP
Official Comment (*):Lucas primitive part, ECPP
Unofficial Comments:This prime has 2 user comments below.
Proof-code(s): (*):c74 : Lasher, Dubner, Primo
Decimal Digits:11060   (log10 is 11059.834394185)
Rank (*):81871 (digit rank is 1)
Entrance Rank (*):66786
Currently on list? (*):no
Submitted:7/28/2014 15:26:50 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:118263
Status Flags:Verify
Score (*):32.7523 (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: no, rank 31
Subcategory: "Lucas primitive part"
(archival tag id 217770, tag last modified 2023-11-13 17:37:16)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 263
Subcategory: "ECPP"
(archival tag id 217771, tag last modified 2024-03-24 06:37:14)

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.

Charles H (Chuck) Lasher writes (11 Sep 2014):  (report abuse)
Certificate: http://pastebin.com/1AyLGjLW Certificate Summary info

David Broadhurst writes (11 Sep 2014):  (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_id118263
person_id9
machineXeon 4c+4c 3.5GHz
whatprp
notesPFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 6829582966...5284974401 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 37 Running N+1 test using discriminant 59, base 15+sqrt(59) Calling N-1 BLS with factored part 0.59% and helper 0.02% (1.80% proof) 6829582966...5284974401 is Fermat and Lucas PRP! (8.6226s+0.0034s) [Elapsed time: 8.00 seconds]
modified2020-07-07 22:30:17
created2014-07-28 15:31:01
id163830

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