13583204100675 · 2666667 - 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:13583204100675 · 2666667 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1435 : Dickinson, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.89712155)
Rank (*):26759 (digit rank is 85)
Entrance Rank (*):4963
Currently on list? (*):no
Submitted:11/7/2011 06:27:00 CDT
Last modified:11/7/2011 07:20:52 CDT
Removed (*):11/9/2011 17:45:27 CDT
Database id:102767
Status Flags:none
Score (*):41.699 (normalized score 0.0643)

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_id102767
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 13583204100675 2 666667 -1 2>&1 [Elapsed time: 9.975 seconds]
modified2020-07-07 17:30:30
created2011-11-07 06:35:21
id135123

fieldvalue
prime_id102767
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/llr.pl 13583204100675*2^666667-1 2>&1 Starting Lucas Lehmer Riesel prime test of 13583204100675*2^666667-1 Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 81920 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop... 13583204100675*2^666667-1 is prime! Time : 927.837 sec. [Elapsed time: 16.27 minutes]
modified2020-07-07 17:30:30
created2011-11-07 06:40:34
id135125

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.