2910062805375 · 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:2910062805375 · 2666667 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1650 : Burdett, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.22802168)
Rank (*):28893 (digit rank is 2204)
Entrance Rank (*):2221
Currently on list? (*):no
Submitted:9/7/2010 21:37:46 CDT
Last modified:9/9/2010 00:20:21 CDT
Removed (*):6/17/2011 08:07:19 CDT
Database id:94597
Status Flags:none
Score (*):41.699 (normalized score 0.0641)

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_id94597
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 2910062805375 2 666667 -1 2>&1 [Elapsed time: 9.835 seconds]
modified2020-07-07 17:30:33
created2010-09-07 21:48:01
id118513

fieldvalue
prime_id94597
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 2910062805375*2^666667-1 2>&1 Starting Lucas Lehmer Riesel prime test of 2910062805375*2^666667-1 Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 65536 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... 2910062805375*2^666667-1 is prime! Time : 1299.005 sec. [Elapsed time: 21.65 minutes]
modified2020-07-07 17:30:33
created2010-09-08 23:51:49
id118675

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