2540041185 · 2114729 - 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:2540041185 · 2114729 - 1
Verification status (*):Proven
Official Comment (*):Sophie Germain (p)
Proof-code(s): (*):g294 : Underbakke, TwinGen, PRP, Proth.exe
Decimal Digits:34547   (log10 is 34546.275213291)
Rank (*):65915 (digit rank is 10)
Entrance Rank (*):3354
Currently on list? (*):no
Submitted:1/19/2003 05:04:27 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:63482
Status Flags:none
Score (*):36.2756 (normalized score 0.0001)

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.
Sophie Germain (p) (archivable *)
Prime on list: no, rank 36
Subcategory: "Sophie Germain (p)"
(archival tag id 190789, tag last modified 2023-11-19 12:37:21)

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_id63482
person_id9
machineWinXP Athlon 1.3GHz
whatprime
notesPrimality testing 2540041185*2^114729-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.97% 2540041185*2^114729-1 is prime! (615.144000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 7, base 1+sqrt(7)
modified2003-03-25 17:21:47
created2003-01-23 19:17:37
id67368

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