168451 · 219375200 + 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:168451 · 219375200 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 2 user comments below.
Proof-code(s): (*):L4676 : Maloney, Srsieve, PrimeGrid, PrimeSierpinski, LLR
Decimal Digits:5832522   (log10 is 5832521.5984624)
Rank (*):20 (digit rank is 1)
Entrance Rank (*):13
Currently on list? (*):short
Submitted:9/26/2017 05:11:28 CDT
Last modified:9/29/2017 22:20:14 CDT
Database id:123905
Status Flags:TrialDiv
Score (*):52.037 (normalized score 1542.5903)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Chris Caldwell writes (26 Sep 2017):  (report abuse)
This prime eliminates k=168451 from the Prime Sierpinski Problem

PrimeGrid writes (29 Sep 2017):  (report abuse)
For more details, please see the official announcement.

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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"168451*2^19375200+1" 2>&1 PFGW Version [GWNUM 27.11] Primality testing 168451*2^19375200+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 168451*2^19375200+1 is prime! (319737.4209s+0.0051s) [Elapsed time: 3.70 days]
modified2020-07-07 17:30:15
created2017-09-26 05:13:01

Query times: 0.0003 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.