699549860111847 · 24244 + 7

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.

Description:699549860111847 · 24244 + 7
Verification status (*):PRP
Official Comment (*):Quintuplet (4)
Proof-code(s): (*):c26 : Keiser, OpenPFGW, Primo
Decimal Digits:1293   (log10 is 1292.416120272)
Rank (*):107158 (digit rank is 27)
Entrance Rank (*):92663
Currently on list? (*):short
Submitted:11/28/2013 17:50:45 CDT
Last modified:11/30/2013 22:20:03 CDT
Database id:116467
Status Flags:Verify, TrialDiv
Score (*):26.0741 (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.
Quintuplet (archivable class *)
Prime on list: yes, rank 5
Subcategory: "Quintuplet (4)"
(archival tag id 217486, tag last modified 2017-11-30 12:50:21)

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -tc -q"699549860111847*2^4244+7" 2>&1 PFGW Version [GWNUM 26.5] Primality testing 699549860111847*2^4244+7 [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 base 17 Running N+1 test using discriminant 29, base 1+sqrt(29) Calling N-1 BLS with factored part 0.75% and helper 0.44% (2.73% proof) 699549860111847*2^4244+7 is Fermat and Lucas PRP! (0.8183s+0.0003s) [Elapsed time: 0.00 seconds]
modified2020-07-07 17:30:18
created2013-11-28 18:01:46

Query times: 0.0001 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.