4001 · 22093286 - 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:4001 · 22093286 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1959 : Metcalfe, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:630146   (log10 is 630145.47767202)
Rank (*):1951 (digit rank is 1)
Entrance Rank (*):359
Currently on list? (*):yes
Submitted:6/30/2014 13:42:32 CDT
Last modified:6/30/2014 14:21:34 CDT
Database id:118105
Status Flags:TrialDiv
Score (*):45.2155 (normalized score 2.6484)

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 4001*2^2093286-1 2>&1 Starting Lucas Lehmer Riesel prime test of 4001*2^2093286-1 Using AVX FFT length 160K, Pass1=128, Pass2=1280 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 4001*2^2093286-1 is prime! (630146 decimal digits) Time : 1573.708 sec. [Elapsed time: 26.22 minutes]
modified2020-07-07 17:30:17
created2014-06-30 13:51:17

Query times: 0.0025 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.