4167 · 21166770 + 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:4167 · 21166770 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1204 : Brown1, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:351237   (log10 is 351236.38786436)
Rank (*):15807 (digit rank is 1)
Entrance Rank (*):2575
Currently on list? (*):no
Submitted:9/12/2013 08:24:23 CDT
Last modified:9/12/2013 09:20:27 CDT
Removed (*):8/12/2014 15:44:22 CDT
Database id:115482
Status Flags:TrialDiv
Score (*):43.42 (normalized score 0.3139)

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.
machineWinXP Dual Core 2.6GHz 64-bit Laptop
notesCommand: pfgw64.exe -t -q"4167*2^1166770+1" 2>&1 PFGW Version [GWNUM 27.8] Primality testing 4167*2^1166770+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 4167*2^1166770+1 is prime! (737.1579s+0.0023s) [Elapsed time: 737 seconds]
modified2020-07-07 17:30:18
created2013-09-12 09:03:22

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.