538712617707 · 21290000 - 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:538712617707 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3492 : Mazzucato, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.42576368)
Rank (*):12618 (digit rank is 1262)
Entrance Rank (*):1208
Currently on list? (*):no
Submitted:4/9/2013 21:06:02 CDT
Last modified:4/9/2013 22:50:41 CDT
Removed (*):12/26/2015 15:22:05 CDT
Database id:112352
Status Flags:none
Score (*):43.7286 (normalized score 0.4832)

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 538712617707 2 1290000 -1 2>&1 [Elapsed time: 10.326 seconds]
modified2020-07-07 17:30:21
created2013-04-09 21:18:02

machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 538712617707*2^1290000-1 2>&1 Starting Lucas Lehmer Riesel prime test of 538712617707*2^1290000-1 Using Zero Padded IBDWT : Mersenne fftlen = 65536, Used fftlen = 131072 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... 538712617707*2^1290000-1 is prime! Time : 5400.900 sec. [Elapsed time: 1.50 hours]
modified2020-07-07 17:30:21
created2013-04-09 21:19:07

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.