2371441722855 · 21290000 - 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:2371441722855 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L4124 : Splain, TwinGen, PrimeGrid, LLR
Decimal Digits:388342   (log10 is 388341.06941899)
Rank (*):14009 (digit rank is 1151)
Entrance Rank (*):3390
Currently on list? (*):no
Submitted:12/14/2015 05:17:03 UTC
Last modified:5/20/2023 20:59:19 UTC
Removed (*):11/30/2016 08:09:10 UTC
Database id:120752
Status Flags:none
Score (*):43.7286 (normalized score 0.3468)

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 2371441722855*2^1290000-1 2>&1 Starting Lucas Lehmer Riesel prime test of 2371441722855*2^1290000-1 Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop... 2371441722855*2^1290000-1 is prime! (388342 decimal digits) Time : 778.785 sec. [Elapsed time: 12.98 minutes]
modified2020-07-07 22:30:17
created2015-12-14 05:21:01

Query times: 0.0004 seconds to select prime, 0.0015 seconds to seek comments.
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