(17887525 - 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.

This prime's information:

Description:(17887525 - 1)2 - 2
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 2 user comments below.
Proof-code(s): (*):p392 : Batalov, Cksieve, OpenPFGW
Decimal Digits:393937   (log10 is 393936.02140417)
Rank (*):13125 (digit rank is 1)
Entrance Rank (*):3654
Currently on list? (*):no
Submitted:5/21/2016 15:27:44 UTC
Last modified:5/20/2023 20:59:19 UTC
Removed (*):1/19/2018 22:15:38 UTC
Database id:121680
Status Flags:none
Score (*):43.7726 (normalized score 0.3504)

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.

Serge Batalov writes (21 May 2016):  (report abuse)
Carol prime, near square

David Broadhurst writes (15 Jun 2016):  (report abuse)
Arbitrarily dubbed a Carol prime by the original investigator in reference to a personal acquaintance. Several people have deprecated this practice.

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 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tc -q"(178^87525-1)^2-2" 2>&1 PFGW Version [GWNUM 27.11] Primality testing (178^87525-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 5 Running N+1 test using discriminant 13, base 2+sqrt(13) Running N+1 test using discriminant 13, base 3+sqrt(13) Calling N+1 BLS with factored part 50.00% and helper 0.00% (150.01% proof) (178^87525-1)^2-2 is prime! (24436.9732s+0.0114s) [Elapsed time: 6.79 hours]
modified2020-07-07 22:30:16
created2016-05-21 15:31:02

Query times: 0.0002 seconds to select prime, 0.0006 seconds to seek comments.
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