4101 · 21667313 - 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:4101 · 21667313 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1959 : Metcalfe, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:501915   (log10 is 501914.83805027)
Rank (*):4169 (digit rank is 1)
Entrance Rank (*):1294
Currently on list? (*):yes
Submitted:7/14/2015 15:31:06 CDT
Last modified:7/14/2015 16:20:30 CDT
Database id:120106
Status Flags:TrialDiv
Score (*):44.5168 (normalized score 1.1509)

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_id120106
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 4101*2^1667313-1 2>&1 Starting Lucas Lehmer Riesel prime test of 4101*2^1667313-1 Using AVX FFT length 120K, Pass1=384, Pass2=320 V1 = 9 ; Computing U0... V1 = 9 ; Computing U0...done.Starting Lucas-Lehmer loop... 4101*2^1667313-1 is prime! (501915 decimal digits) Time : 965.849 sec. [Elapsed time: 16.10 minutes]
modified2020-07-07 17:30:17
created2015-07-14 15:41:01
id165733

Query times: 0.0004 seconds to select prime, 0.0012 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.