4177 · 21724161 - 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.

This prime's information:

Description:4177 · 21724161 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1959 : Metcalfe, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:519028   (log10 is 519027.79921848)
Rank (*):8436 (digit rank is 1)
Entrance Rank (*):1020
Currently on list? (*):no
Submitted:12/26/2014 21:30:55 UTC
Last modified:5/20/2023 20:59:19 UTC
Removed (*):8/17/2022 21:15:52 UTC
Database id:118996
Status Flags:none
Score (*):44.6198 (normalized score 0.7064)

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_id118996
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 4177*2^1724161-1 2>&1 Starting Lucas Lehmer Riesel prime test of 4177*2^1724161-1 Using AVX FFT length 128K, Pass1=128, Pass2=1K V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 4177*2^1724161-1 is prime! (519028 decimal digits) Time : 1010.170 sec. [Elapsed time: 16.83 minutes]
modified2020-07-07 22:30:17
created2014-12-26 21:31:01
id164600

Query times: 0.0004 seconds to select prime, 0.0004 seconds to seek comments.
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