37385497719 · 2333333 - 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:37385497719 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L609 : Saladin, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.80424783)
Rank (*):45685 (digit rank is 93)
Entrance Rank (*):4996
Currently on list? (*):no
Submitted:4/19/2008 15:02:29 CDT
Last modified:4/19/2008 15:22:11 CDT
Removed (*):4/19/2008 22:14:01 CDT
Database id:84797
Status Flags:none
Score (*):39.5651 (normalized score 0.0058)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 37385497719*2^333333-1 2>&1 Starting Lucas Lehmer Riesel prime test of 37385497719*2^333333-1 Using Zero Padded IBDWT : Mersenne fftlen = 16384, Used fftlen = 32768 V1 = 3 ; Computing U0... V1 = 3 ; Computing U0...done. Starting Lucas-Lehmer loop... *2^333333-1 is prime! Time : 301.760 sec. [Elapsed time: 5.03 minutes]
modified2020-07-07 17:30:39
created2008-04-19 15:08:01

machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 37385497719 2 333333 -1 2>&1 [Elapsed time: 9.246 seconds]
modified2020-07-07 17:30:39
created2008-04-19 15:22:01

Query times: 0.0001 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.