4221 · 2646143 + 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.

This prime's information:

Description:4221 · 2646143 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2085 : Dodson1, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:194513   (log10 is 194512.04990366)
Rank (*):31647 (digit rank is 1)
Entrance Rank (*):4681
Currently on list? (*):no
Submitted:2/22/2011 20:46:49 CDT
Last modified:2/22/2011 23:50:24 CDT
Removed (*):3/5/2011 00:05:54 CDT
Database id:98682
Status Flags:none
Score (*):41.6027 (normalized score 0.0482)

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/TrialDiv/TrialDiv -q 4221 2 646143 1 2>&1 [Elapsed time: 10.476 seconds]
modified2020-07-07 17:30:32
created2011-02-22 20:48:32

machineWinXP Dual Core 2.6GHz Laptop
notesCommand: pfgw.exe -n -t -q"4221*2^646143+1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N-1 test using base 11 N-1: 4221*2^64Primality testing 4221*2^646143+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 4221*2^646143+1 is prime! (1484.0477s+0.0045s) 6143+1[Elapsed time: 1484 seconds]
modified2020-07-07 17:30:32
created2011-02-22 23:02:25

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