At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help) value Description: V(7741) Verification status (*): PRP Official Comment: Lucas number Proof-code(s): (*): DK : Dubner, Keller, Cruncher Decimal Digits: 1618   (log10 is 1617.77332317509) Rank (*): 85475 (digit rank is 1) Entrance Rank (*): 4481 Currently on list? (*): short Submitted: 3/3/1995 Last modified: 3/3/1995 Database id: 38556 Status Flags: Verify Score (*): 26.7754 (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 Number (archivable *)

Prime on list: yes, rank 12
Subcategory: "Lucas Number"
(archival tag id 179794, tag last modified 2006-06-19 16:51:26)

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.

field value prime_id 38556 person_id 9 machine Linux PII 200 what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 3 Primality testing V(7741) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N-1 BLS with factored part 5.75% and helper 1.40% (18.65% proof) V(7741) is Fermat and Lucas PRP! (29.780000 seconds) modified 2003-03-25 11:23:00 created 2003-01-04 11:38:16 id 61396