586085 · 21172172 - 1

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Description:586085 · 21172172 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p77 : Harvey, MultiSieve, GenWoodall, OpenPFGW
Decimal Digits:352865   (log10 is 352864.70003805)
Rank (*):14601 (digit rank is 1)
Entrance Rank (*):1206
Currently on list? (*):no
Submitted:10/3/2012 12:39:09 CDT
Last modified:10/3/2012 14:50:27 CDT
Removed (*):9/1/2014 11:06:01 CDT
Database id:109574
Status Flags:none
Score (*):43.4342 (normalized score 0.3703)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Steven Harvey writes (11 Sep 2014):  (report abuse)
(1172171-1)*2^1172171-1 Near Woodall

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 586085 2 1172172 -1 2>&1 [Elapsed time: 10.503 seconds]
modified2020-07-07 17:30:23
created2012-10-03 12:48:01

machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 586085*2^1172172-1 2>&1 Starting Lucas Lehmer Riesel prime test of 586085*2^1172172-1 Using Irrational Base DWT : Mersenne fftlen = 65536, Used fftlen = 114688 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done. Starting Lucas-Lehmer loop... 586085*2^1172172-1 is prime! Time : 4418.965 sec. [Elapsed time: 73.65 minutes]
modified2020-07-07 17:30:23
created2012-10-03 13:08:02

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.
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