18976 · 22976221 - 18975

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:18976 · 22976221 - 18975
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p373 : Morelli, OpenPFGW
Decimal Digits:895937   (log10 is 895936.07292972)
Rank (*):980 (digit rank is 1)
Entrance Rank (*):113
Currently on list? (*):short
Submitted:2/10/2014 04:48:52 CDT
Last modified:2/11/2014 13:00:22 CDT
Database id:117114
Status Flags:TrialDiv
Score (*):46.2958 (normalized score 7.7211)

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_id117114
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprime
notesCommand: pfgw64.exe -t -hhelp.txt -q"18976*(2^2976221-1)+1" 2>&1 PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8] Primality testing 18976*(2^2976221-1)+1 [N-1, Brillhart-Lehmer-Selfridge] Reading factors from helper file help.txt Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 18976*(2^2976221-1)+1 is prime! (24094.7769s+0.0366s) [Elapsed time: 24095 seconds] Helper File: 2^2976221-1
modified2020-07-07 17:30:18
created2014-02-10 12:59:01
id162636

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