primB(96545)

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:primB(96545)
Verification status (*):PRP
Official Comment (*):Lucas Aurifeuillian primitive part, ECPP
Proof-code(s): (*):c8 : Broadhurst, Water, Primo
Decimal Digits:8070   (log10 is 8069.6432984885)
Rank (*):84763 (digit rank is 2)
Entrance Rank (*):67086
Currently on list? (*):no
Submitted:9/28/2013 12:08:33 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:115660
Status Flags:Verify
Score (*):31.7751 (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 Aurifeuillian primitive part (archivable *)
Prime on list: no, rank 28
Subcategory: "Lucas Aurifeuillian primitive part"
(archival tag id 217248, tag last modified 2024-03-24 06:37:15)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 378
Subcategory: "ECPP"
(archival tag id 217249, tag last modified 2024-03-24 06:37:14)

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_id115660
person_id9
machineDitto P4 P4
whatprp
notesPFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 4398438141...8350564041 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 7 Running N+1 test using discriminant 17, base 6+sqrt(17) Calling N-1 BLS with factored part 0.52% and helper 0.02% (1.58% proof) 4398438141...8350564041 is Fermat and Lucas PRP! (36.5839s+0.0061s) [Elapsed time: 37.00 seconds]
modified2020-07-07 22:30:18
created2013-09-28 13:25:50
id161152

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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