691 · 21503141 - 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:691 · 21503141 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2257 : Dettweiler, PSieve, Srsieve, NPLB, LLR
Decimal Digits:452494   (log10 is 452493.3681904)
Rank (*):6696 (digit rank is 1)
Entrance Rank (*):2690
Currently on list? (*):no
Submitted:3/8/2018 02:05:20 CDT
Last modified:3/8/2018 02:50:19 CDT
Removed (*):8/5/2020 19:20:16 CDT
Database id:124503
Status Flags:TrialDiv
Score (*):44.1984 (normalized score 0.7814)

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 691*2^1503141-1 2>&1 Starting Lucas Lehmer Riesel prime test of 691*2^1503141-1 Using AVX FFT length 96K, Pass1=128, Pass2=768 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 691*2^1503141-1 is prime! (452494 decimal digits) Time : 652.003 sec. [Elapsed time: 10.88 minutes]
modified2020-07-07 17:30:15
created2018-03-08 02:11:01

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