7 · 362146341 - 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:7 · 362146341 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1471 : Gunn, Srsieve, CRUS, LLR
Decimal Digits:374445   (log10 is 374444.81601843)
Rank (*):13399 (digit rank is 1)
Entrance Rank (*):330
Currently on list? (*):no
Submitted:7/2/2011 10:19:41 CDT
Last modified:7/2/2011 16:20:20 CDT
Removed (*):3/16/2015 05:50:00 CDT
Database id:100683
Status Flags:none
Score (*):43.6166 (normalized score 0.4518)

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_id100683
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/pfgw -tp -q"7*362^146341-1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 7*362^146341-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 88.23% 7*362^146341-1 is prime! (19932.4781s+0.0238s) [Elapsed time: 5.54 hours]
modified2020-07-07 17:30:31
created2011-07-02 10:23:01
id130931

fieldvalue
prime_id100683
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 7 362 146341 -1 2>&1 [Elapsed time: 9.374 seconds]
modified2020-07-07 17:30:31
created2011-07-02 10:35:01
id130932

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.