51 · 25085142 - 1
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

field (help)value
Description:51 · 25085142 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L760 : Riesen, Srsieve, Rieselprime, LLR
Decimal Digits:1530782   (log10 is 1530781.9817809)
Rank (*):80 (digit rank is 1)
Entrance Rank (*):35
Currently on list? (*):short
Submitted:8/4/2014 15:59:58 CDT
Last modified:8/5/2014 10:20:26 CDT
Database id:118295
Status Flags:TrialDiv
Score (*):47.939 (normalized score 65.4882)

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_id118295
person_id9
machineXeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 51*2^5085142-1 2>&1
Starting Lucas Lehmer Riesel prime test of 51*2^5085142-1
Using AVX FFT length 320K, Pass1=320, Pass2=1K
V1 = 3 ; Computing U0...
V1 = 3 ; Computing U0...done.Starting Lucas-Lehmer loop...


51*2^5085142-1 is prime! (1530782 decimal digits) Time : 8013.121 sec.
[Elapsed time: 2.23 hours]
modified2014-12-15 15:47:32
created2014-08-05 08:01:01
id163866

Query times: 0.0005 seconds to select prime, 0.0003 seconds to seek comments.