112 · 113286643 - 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:112 · 113286643 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L426 : Jaworski, Srsieve, Rieselprime, LLR
Decimal Digits:588503   (log10 is 588502.61349344)
Rank (*):4417 (digit rank is 1)
Entrance Rank (*):165
Currently on list? (*):yes
Submitted:10/1/2012 17:01:09 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:109482
Status Flags:none
Score (*):45.0056 (normalized score 1.2175)

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/TrialDiv/TrialDiv -q 112 113 286643 -1 2>&1 [Elapsed time: 9.957 seconds]
modified2020-07-07 22:30:23
created2012-10-01 17:05:02

machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -tp -q"112*113^286643-1" 2>&1 PFGW Version [GWNUM 26.5] Primality testing 112*113^286643-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 112*113^286643-1 is prime! (66167.6238s+0.0490s) [Elapsed time: 18.38 hours]
modified2020-07-07 22:30:23
created2012-10-01 17:08:01

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.