309213767625 · 2666666 - 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:309213767625 · 2666666 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L634 : Ueda, TwinGen, PrimeGrid, LLR
Decimal Digits:200698   (log10 is 200697.95334815)
Rank (*):28033 (digit rank is 8)
Entrance Rank (*):1118
Currently on list? (*):no
Submitted:8/25/2009 11:17:13 CDT
Last modified:8/25/2009 12:21:07 CDT
Removed (*):4/26/2011 12:14:08 CDT
Database id:89736
Status Flags:none
Score (*):41.699 (normalized score 0.0787)

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_id89736
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 309213767625 2 666666 -1 2>&1 [Elapsed time: 10.306 seconds]
modified2020-07-07 17:30:37
created2009-08-25 11:18:01
id108842

fieldvalue
prime_id89736
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 309213767625*2^666666-1 2>&1 Starting Lucas Lehmer Riesel prime test of 309213767625*2^666666-1 Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 65536 V1 = 15 ; Computing U0... V1 = 15 ; Computing U0...done. Starting Lucas-Lehmer loop... 309213767625*2^666666-1 is prime! Time : 1886.259 sec. [Elapsed time: 31.43 minutes]
modified2020-07-07 17:30:37
created2009-08-25 11:23:01
id108844

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.