6113 · 21058825 + 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:6113 · 21058825 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1595 : Cilliers, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:318742   (log10 is 318741.87141331)
Rank (*):14921 (digit rank is 1)
Entrance Rank (*):2696
Currently on list? (*):no
Submitted:4/6/2013 01:23:01 CDT
Last modified:4/8/2013 09:20:27 CDT
Removed (*):11/16/2013 12:42:53 CDT
Database id:112315
Status Flags:none
Score (*):43.1216 (normalized score 0.3405)

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.
fieldvalue
prime_id112315
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 6113 2 1058825 1 2>&1 [Elapsed time: 9.509 seconds]
modified2020-07-07 17:30:21
created2013-04-06 22:18:24
id154981

fieldvalue
prime_id112315
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprime
notesCommand: pfgw64.exe -t -q"6113*2^1058825+1" 2>&1 PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8] Primality testing 6113*2^1058825+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 6113*2^1058825+1 is prime! (545.6912s+0.0740s) [Elapsed time: 546 seconds]
modified2020-07-07 17:30:21
created2013-04-08 09:07:29
id155019

Query times: 0.0003 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.