2136842053395 · 21290000 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description:2136842053395 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3985 : Okazaki, TwinGen, PrimeGrid, LLR
Decimal Digits:388342   (log10 is 388341.024178958)
Rank (*):9694 (digit rank is 1375)
Entrance Rank (*):3111
Currently on list? (*):no
Submitted:8/9/2015 20:50:39 CDT
Last modified:8/9/2015 21:20:34 CDT
Removed (*):9/29/2016 15:53:34 CDT
Database id:120214
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.6062)

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_id120214
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 2136842053395*2^1290000-1 2>&1 Starting Lucas Lehmer Riesel prime test of 2136842053395*2^1290000-1 Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K V1 = 9 ; Computing U0... V1 = 9 ; Computing U0...done.Starting Lucas-Lehmer loop... 2136842053395*2^1290000-1 is prime! (388342 decimal digits) Time : 774.633 sec. [Elapsed time: 12.92 minutes]
modified2020-07-07 17:30:17
created2015-08-09 20:51:01
id165842

Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.