653 · 101435026 - 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:653 · 101435026 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p355 : Domanov1, Srsieve, CRUS, OpenPFGW
Decimal Digits:1435029   (log10 is 1435028.8149132)
Rank (*):367 (digit rank is 1)
Entrance Rank (*):42
Currently on list? (*):short
Submitted:6/13/2014 04:53:47 CDT
Last modified:6/13/2014 17:21:26 CDT
Database id:118016
Status Flags:TrialDiv
Score (*):47.7409 (normalized score 20.9487)

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.
machineXeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tp -q"653*10^1435026-1" 2>&1 PFGW Version [GWNUM 27.11] Primality testing 653*10^1435026-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 69.90% 653*10^1435026-1 is prime! (42902.6019s+0.0287s) [Elapsed time: 11.92 hours]
modified2020-07-07 17:30:17
created2014-06-13 05:01:31

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.