floor((3 / 2)137752) + 13566

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:floor((3 / 2)137752) + 13566
Verification status (*):PRP
Official Comment (*):ECPP
Proof-code(s): (*):c35 : Cami, Primo
Decimal Digits:24257   (log10 is 24256.923117438)
Rank (*):71454 (digit rank is 2)
Entrance Rank (*):57859
Currently on list? (*):no
Submitted:3/26/2015 09:10:59 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:119638
Status Flags:Verify
Score (*):35.183 (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.
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 59
Subcategory: "ECPP"
(archival tag id 217971, tag last modified 2023-12-16 03:37:30)

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_id119638
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprp
notesPFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 8377557902...3305727669 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 11, base 1+sqrt(11) Calling N+1 BLS with factored part 0.05% and helper 0.03% (0.18% proof) 8377557902...3305727669 is Fermat and Lucas PRP! (40.7743s+0.0095s) [Elapsed time: 41.00 seconds]
modified2020-07-07 22:30:17
created2015-03-26 09:11:02
id165249

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
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