510926069745 · 21290000 - 1

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Description:510926069745 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3203 : Scalise, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.4027646)
Rank (*):13559 (digit rank is 1289)
Entrance Rank (*):1174
Currently on list? (*):no
Submitted:3/24/2013 10:04:35 CDT
Last modified:3/24/2013 19:20:24 CDT
Removed (*):12/16/2015 02:44:20 CDT
Database id:111809
Status Flags:none
Score (*):43.7286 (normalized score 0.4268)

User comments about this prime (disclaimer):

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Serge Batalov writes (8 Apr 2020):  (report abuse)
Arithmetic progression (1,d=2227792035315*2^1290001)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 510926069745 2 1290000 -1 2>&1 [Elapsed time: 10.441 seconds]
modified2020-07-07 17:30:22
created2013-03-24 10:05:02

machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 510926069745*2^1290000-1 2>&1 Starting Lucas Lehmer Riesel prime test of 510926069745*2^1290000-1 Using Zero Padded IBDWT : Mersenne fftlen = 65536, Used fftlen = 131072 V1 = 15 ; Computing U0... V1 = 15 ; Computing U0...done. Starting Lucas-Lehmer loop... 510926069745*2^1290000-1 is prime! Time : 5589.541 sec. [Elapsed time: 1.55 hours]
modified2020-07-07 17:30:22
created2013-03-24 17:26:36

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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