641 · 21018986 - 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:641 · 21018986 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1809 : Vogel, PSieve, Srsieve, NPLB, LLR
Decimal Digits:306749   (log10 is 306748.15801969)
Rank (*):17416 (digit rank is 1)
Entrance Rank (*):1462
Currently on list? (*):no
Submitted:2/23/2012 18:59:51 CDT
Last modified:2/23/2012 19:50:25 CDT
Removed (*):9/16/2013 19:50:48 CDT
Database id:104994
Status Flags:none
Score (*):43.0037 (normalized score 0.234)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 641 2 1018986 -1 2>&1 [Elapsed time: 10.328 seconds]
modified2020-07-07 17:30:28
created2012-02-23 19:05:01

machineRedHat Virtual STEM Server
notesCommand: /home/caldwell/client/llr.pl 641*2^1018986-1 2>&1 Starting Lucas Lehmer Riesel prime test of 641*2^1018986-1 Using Irrational Base DWT : Mersenne fftlen = 57344, Used fftlen = 65536 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 641*2^1018986-1 is prime! Time : 973.308 sec. [Elapsed time: 16.38 minutes]
modified2020-07-07 17:30:28
created2012-02-23 19:13:24

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