1875 · 2394864 - 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:1875 · 2394864 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L566 : James, Srsieve, NPLB, LLR
Decimal Digits:118870   (log10 is 118869.18120913)
Rank (*):45564 (digit rank is 1)
Entrance Rank (*):3717
Currently on list? (*):no
Submitted:1/25/2009 05:50:29 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):5/6/2009 00:55:32 UTC
Database id:86384
Status Flags:none
Score (*):40.0867 (normalized score 0.0074)

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_id86384
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1875 2 394864 -1 2>&1 [Elapsed time: 13.043 seconds]
modified2020-07-07 22:30:38
created2009-01-25 05:52:02
id102199

fieldvalue
prime_id86384
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 1875*2^394864-1 2>&1 Starting Lucas Lehmer Riesel prime test of 1875*2^394864-1 Using Irrational Base DWT : Mersenne fftlen = 20480, Used fftlen = 28672 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... 1875*2^394864-1 is prime! Time : 2137.144 sec. [Elapsed time: 35.63 minutes]
modified2020-07-07 22:30:38
created2009-01-25 05:53:08
id102200

Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.
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