4135 · 21689399 - 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:4135 · 21689399 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1959 : Metcalfe, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:508564   (log10 is 508563.390120248)
Rank (*):3344 (digit rank is 1)
Entrance Rank (*):1269
Currently on list? (*):yes
Submitted:9/5/2015 15:15:24 CDT
Last modified:9/5/2015 15:50:32 CDT
Database id:120319
Status Flags:TrialDiv
Score (*):44.5572 (normalized score 1.3731)

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 4135*2^1689399-1 2>&1 Starting Lucas Lehmer Riesel prime test of 4135*2^1689399-1 Using AVX FFT length 120K, Pass1=384, Pass2=320 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 4135*2^1689399-1 is prime! (508564 decimal digits) Time : 986.263 sec. [Elapsed time: 16.45 minutes]
modified2020-07-07 17:30:17
created2015-09-05 15:21:01

Query times: 0.0017 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.