8685804070305 · 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:8685804070305 · 2666667 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L927 : Brown1, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.70292935)
Rank (*):27623 (digit rank is 1019)
Entrance Rank (*):3326
Currently on list? (*):no
Submitted:4/29/2011 23:26:52 CDT
Last modified:4/30/2011 00:20:21 CDT
Removed (*):9/4/2011 12:00:50 CDT
Database id:99905
Status Flags:none
Score (*):41.699 (normalized score 0.0649)

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_id99905
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 8685804070305 2 666667 -1 2>&1 [Elapsed time: 9.709 seconds]
modified2020-07-07 17:30:31
created2011-04-29 23:35:01
id129336

fieldvalue
prime_id99905
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 8685804070305*2^666667-1 2>&1 Starting Lucas Lehmer Riesel prime test of 8685804070305*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... 8685804070305*2^666667-1 is prime! Time : 1291.576 sec. [Elapsed time: 21.53 minutes]
modified2020-07-07 17:30:31
created2011-04-29 23:38:01
id129337

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.