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:

Verification status (*):PRP
Official Comment (*):Lucas number, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c81 : Water, Underwood, Primo
Decimal Digits:30950   (log10 is 30949.18863226)
Rank (*):64733 (digit rank is 2)
Entrance Rank (*):55139
Currently on list? (*):short
Submitted:9/23/2015 10:27:50 CDT
Last modified:9/23/2015 10:50:26 CDT
Database id:120385
Status Flags:Verify, TrialDiv
Score (*):35.936 (normalized score 0.0001)

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 16
Subcategory: "ECPP"
(archival tag id 218080, tag last modified 2022-09-09 14:37:23)
Lucas Number (archivable *)
Prime on list: yes, rank 1
Subcategory: "Lucas Number"
(archival tag id 218081, tag last modified 2015-09-23 10:50:29)

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.

Paul Underwood writes (23 Sep 2015):  (report abuse)
http://www.ellipsa.eu/public/primo/top20.html for 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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tc -q"V(148091)" 2>&1 PFGW Version [GWNUM 27.11] Primality testing V(148091) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 11 Running N+1 test using discriminant 17, base 1+sqrt(17) Calling N+1 BLS with factored part 0.48% and helper 0.30% (1.74% proof) V(148091) is Fermat and Lucas PRP! (101.4905s+0.0084s) [Elapsed time: 1.70 minutes]
modified2020-07-07 17:30:17
created2015-09-23 10:31:01

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
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