1745 · 101745 - 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:1745 · 101745 - 1
Verification status (*):Proven
Official Comment (*):Generalized Woodall
Proof-code(s): (*):CR : Rivera
Decimal Digits:1749   (log10 is 1748.2417954313)
Rank (*):108279 (digit rank is 11)
Entrance Rank (*):11978
Currently on list? (*):no
Submitted:3/4/1997 05:59:59 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:38111
Status Flags:none
Score (*):27.0174 (normalized score 0)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Generalized Woodall (archivable *)
Prime on list: no, rank 349
Subcategory: "Generalized Woodall"
(archival tag id 186979, tag last modified 2024-02-26 15:37:18)

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_id38111
person_id9
machineLinux PII 200
whatprime
notesPFGW Version 1.1 for Pentium and compatibles Running N+1 test using discriminant 3, base 1+sqrt(3) Primality testing 1745*10^1745-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 69.81% 1745*10^1745-1 is prime! (21.520000 seconds)
modified2003-03-25 17:26:42
created2002-12-06 19:21:45
id23518

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.