(42159530 + 1)2 - 2

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:(42159530 + 1)2 - 2
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p424 : Liiv, Cksieve, OpenPFGW
Decimal Digits:517914   (log10 is 517913.91859435)
Rank (*):4151 (digit rank is 1)
Entrance Rank (*):4046
Currently on list? (*):yes
Submitted:10/14/2021 11:31:01 CDT
Last modified:10/15/2021 03:37:18 CDT
Database id:132835
Status Flags:TrialDiv
Score (*):44.6132 (normalized score 1.167)

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 -tc -q"(42^159530+1)^2-2" 2>&1
PFGW Version [GWNUM 29.8]
Primality testing (42^159530+1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 1+sqrt(13)
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N+1 BLS with factored part 50.00% and helper 0.00% (150.01% proof)

(42^159530+1)^2-2 is prime! (57135.6132s+0.0050s)
[Elapsed time: 15.87 hours]
modified2021-10-15 03:28:17
created2021-10-14 11:36:02

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