133631 · 28398790 - 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:133631 · 28398790 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p255 : Siemelink, Srsieve, CRUS, OpenPFGW
Decimal Digits:577118   (log10 is 577117.27722618)
Rank (*):2319 (digit rank is 1)
Entrance Rank (*):280
Currently on list? (*):yes
Submitted:7/1/2013 09:29:21 CDT
Last modified:7/2/2013 07:20:27 CDT
Database id:114544
Status Flags:none
Score (*):44.9456 (normalized score 2.0204)

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_id114544
person_id9
machineWinXP Dual Core 2.6GHz 32-bit
whatprime
notesCommand: pfgw32.exe -tp -q"133631*28^398790-1" 2>&1 PFGW Version 3.7.3.32BIT.20130210.Win_Dev [GWNUM 27.8] Primality testing 133631*28^398790-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 58.40% 133631*28^398790-1 is prime! (77506.4912s+0.0618s) [Elapsed time: 77505 seconds]
modified2020-07-07 17:30:19
created2013-07-01 09:30:35
id159466

fieldvalue
prime_id114544
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 133631 28 398790 -1 2>&1 [Elapsed time: 9.704 seconds]
modified2020-07-07 17:30:19
created2013-07-01 09:35:02
id159467

Query times: 0.0017 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.