1461761635365 · 21290000 - 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:1461761635365 · 21290000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3929 : Ying, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.85928309)
Rank (*):7036 (digit rank is 489)
Entrance Rank (*):1976
Currently on list? (*):no
Submitted:7/25/2014 13:59:26 CDT
Last modified:7/25/2014 14:21:39 CDT
Removed (*):5/9/2016 14:50:26 CDT
Database id:118253
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.9882)

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_id118253
person_id9
machineXeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 1461761635365*2^1290000-1 2>&1
Starting Lucas Lehmer Riesel prime test of 1461761635365*2^1290000-1
Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop...


1461761635365*2^1290000-1 is prime! (388341 decimal digits) Time : 777.777 sec.
[Elapsed time: 12.97 minutes]
modified2014-12-15 15:47:32
created2014-07-25 14:01:01
id163819

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.