6731 · 2857021 + 1

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:6731 · 2857021 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3134 : Leahy, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:257993   (log10 is 257992.85599353)
Rank (*):19571 (digit rank is 1)
Entrance Rank (*):2672
Currently on list? (*):no
Submitted:5/6/2012 19:11:27 CDT
Last modified:5/6/2012 19:50:23 CDT
Removed (*):9/26/2012 09:51:38 CDT
Database id:106836
Status Flags:none
Score (*):42.4715 (normalized score 0.1687)

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 -t -q"6731*2^857021+1" 2>&1 PFGW Version [GWNUM 26.5] Primality testing 6731*2^857021+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 6731*2^857021+1 is prime! (1596.0868s+0.0007s) [Elapsed time: 26.60 minutes]
modified2020-07-07 17:30:26
created2012-05-06 19:14:10

machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 6731 2 857021 1 2>&1 [Elapsed time: 10.105 seconds]
modified2020-07-07 17:30:26
created2012-05-06 19:18:02

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