57257 · 22040062 - 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:57257 · 22040062 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L4812 : Nezumi, LLR
Decimal Digits:614125   (log10 is 614124.61284284)
Rank (*):2707 (digit rank is 1)
Entrance Rank (*):1506
Currently on list? (*):yes
Submitted:6/2/2019 08:49:01 CDT
Last modified:6/2/2019 09:20:23 CDT
Database id:126520
Status Flags:TrialDiv
Score (*):45.1365 (normalized score 1.9749)

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/llr.pl 57257*2^2040062-1 2>&1 Starting Lucas Lehmer Riesel prime test of 57257*2^2040062-1 Using AVX FFT length 168K, Pass1=896, Pass2=192 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 57257*2^2040062-1 is prime! (614125 decimal digits) Time : 1709.568 sec. [Elapsed time: 28.48 minutes]
modified2020-07-07 17:30:13
created2019-06-02 08:51:02

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.