37450045839 · 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.

Description:37450045839 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L546 : Morris, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.80499702)
Rank (*):42013 (digit rank is 87)
Entrance Rank (*):4925
Currently on list? (*):no
Submitted:4/13/2008 08:24:24 CDT
Last modified:4/13/2008 08:52:11 CDT
Removed (*):4/20/2008 07:07:46 CDT
Database id:84656
Status Flags:none
Score (*):39.5651 (normalized score 0.0097)

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_id84656
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 37450045839*2^333333-1 2>&1 Starting Lucas Lehmer Riesel prime test of 37450045839*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 : 301.589 sec. [Elapsed time: 5.03 minutes]
modified2020-07-07 17:30:39
created2008-04-13 08:38:01
id98442

fieldvalue
prime_id84656
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 37450045839 2 333333 -1 2>&1 [Elapsed time: 9.292 seconds]
modified2020-07-07 17:30:39
created2008-04-13 08:52:01
id98443

Query times: 0.0011 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.