4187 · 21701140 - 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:4187 · 21701140 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1959 : Metcalfe, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:512098   (log10 is 512097.78872679)
Rank (*):4350 (digit rank is 1)
Entrance Rank (*):946
Currently on list? (*):yes
Submitted:8/8/2014 14:10:30 CDT
Last modified:8/8/2014 14:51:54 CDT
Database id:118305
Status Flags:TrialDiv
Score (*):44.5785 (normalized score 1.1295)

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.
machineXeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/llr.pl 4187*2^1701140-1 2>&1 Starting Lucas Lehmer Riesel prime test of 4187*2^1701140-1 Using AVX FFT length 120K, Pass1=384, Pass2=320 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 4187*2^1701140-1 is prime! (512098 decimal digits) Time : 983.681 sec. [Elapsed time: 16.40 minutes]
modified2020-07-07 17:30:17
created2014-08-08 14:11:01

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.