213 · 21632054 - 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:213 · 21632054 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1863 : Wozny, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:491300   (log10 is 491299.53692299)
Rank (*):3714 (digit rank is 1)
Entrance Rank (*):855
Currently on list? (*):yes
Submitted:2/27/2014 23:00:38 CDT
Last modified:2/28/2014 04:52:05 CDT
Database id:117320
Status Flags:TrialDiv
Score (*):44.4512 (normalized score 1.2525)

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_id117320
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 213*2^1632054-1 2>&1 Starting Lucas Lehmer Riesel prime test of 213*2^1632054-1 Using Irrational Base DWT : Mersenne fftlen = 81920, Used fftlen = 114688 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... 213*2^1632054-1 is prime! Time : 7017.973 sec. [Elapsed time: 1.95 hours]
modified2020-07-07 17:30:17
created2014-02-28 02:39:01
id162839

Query times: 0.0017 seconds to select prime, 0.0006 seconds to seek comments.
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