(290124116 - 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:(290124116 - 1)2 - 2
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p403 : Bonath, Cksieve, OpenPFGW
Decimal Digits:611246   (log10 is 611245.979814454)
Rank (*):2051 (digit rank is 1)
Entrance Rank (*):1465
Currently on list? (*):yes
Submitted:3/1/2019 09:32:08 CDT
Last modified:3/2/2019 20:50:24 CDT
Database id:126269
Status Flags:TrialDiv
Score (*):45.122 (normalized score 2.4157)

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_id126269
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tc -q"(290^124116-1)^2-2" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing (290^124116-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 13 Running N-1 test using base 23 Running N-1 test using base 31 Running N-1 test using base 37 Running N-1 test using base 53 Running N-1 test using base 59 Running N+1 test using discriminant 103, base 2+sqrt(103) Running N+1 test using discriminant 103, base 3+sqrt(103) Calling N+1 BLS with factored part 50.00% and helper 0.00% (150.00% proof) (290^124116-1)^2-2 is prime! (126660.2253s+0.0179s) [Elapsed time: 35.18 hours]
modified2020-07-07 17:30:13
created2019-03-01 09:33:01
id171947

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.