4179 · 21716052 - 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:4179 · 21716052 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1959 : Metcalfe, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:516587   (log10 is 516586.747191537)
Rank (*):2977 (digit rank is 1)
Entrance Rank (*):1200
Currently on list? (*):yes
Submitted:8/1/2015 08:56:06 CDT
Last modified:8/1/2015 09:20:38 CDT
Database id:120180
Status Flags:TrialDiv
Score (*):44.6053 (normalized score 1.5027)

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_id120180
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 4179*2^1716052-1 2>&1 Starting Lucas Lehmer Riesel prime test of 4179*2^1716052-1 Using AVX FFT length 120K, Pass1=384, Pass2=320 V1 = 3 ; Computing U0... V1 = 3 ; Computing U0...done.Starting Lucas-Lehmer loop... 4179*2^1716052-1 is prime! (516587 decimal digits) Time : 992.296 sec. [Elapsed time: 16.55 minutes]
modified2020-07-07 17:30:17
created2015-08-01 09:01:01
id165808

Query times: 0.0006 seconds to select prime, 0.0001 seconds to seek comments.
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