37785 · 2550940 - 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:37785 · 2550940 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L251 : Burt, NewPGen, Rieselprime, LLR
Decimal Digits:165855   (log10 is 165854.04313054)
Rank (*):38842 (digit rank is 1)
Entrance Rank (*):2068
Currently on list? (*):no
Submitted:5/12/2009 02:18:51 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):9/26/2010 00:22:53 UTC
Database id:88213
Status Flags:none
Score (*):41.1122 (normalized score 0.0206)

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_id88213
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 37785*2^550940-1 2>&1 Starting Lucas Lehmer Riesel prime test of 37785*2^550940-1 Using Irrational Base DWT : Mersenne fftlen = 28672, Used fftlen = 49152 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... 37785*2^550940-1 is prime! Time : 739.368 sec. [Elapsed time: 12.33 minutes]
modified2020-07-07 22:30:38
created2009-05-12 02:23:01
id105788

fieldvalue
prime_id88213
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 37785 2 550940 -1 2>&1 [Elapsed time: 9.662 seconds]
modified2020-07-07 22:30:38
created2009-05-12 02:35:02
id105789

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
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