37 · 26660841 - 1

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Description:37 · 26660841 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3933 : Batalov, PSieve, Srsieve, CRUS, Rieselprime, LLR
Decimal Digits:2005115   (log10 is 2005114.5055502)
Rank (*):97 (digit rank is 1)
Entrance Rank (*):25
Currently on list? (*):short
Submitted:7/30/2014 12:23:16 CDT
Last modified:7/30/2014 16:21:34 CDT
Database id:118270
Status Flags:TrialDiv
Score (*):48.7665 (normalized score 93.5241)

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.

Serge Batalov writes (11 Sep 2014):  (report abuse)
This is the smallest (and so far, only) prime of the 74*1024^n-1 form (n>0)

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.
machineXeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/llr.pl 37*2^6660841-1 2>&1 Starting Lucas Lehmer Riesel prime test of 37*2^6660841-1 Using AVX FFT length 384K, Pass1=384, Pass2=1K V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 37*2^6660841-1 is prime! (2005115 decimal digits) Time : 12985.703 sec. [Elapsed time: 3.61 hours]
modified2020-07-07 17:30:17
created2014-07-30 12:31:01

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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