At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help) value Description: 109433307 · 266452-1 Verification status (*): Proven Official Comment: Sophie Germain (p) Proof-code(s): (*): g205 : Underbakke, NewPGen, Proth.exe Decimal Digits: 20013   (log10 is 20012.0844213864) Rank (*): 35106 (digit rank is 2) Entrance Rank (*): 3158 Currently on list? (*): no Submitted: 2/7/2001 14:20:56 CDT Last modified: 2/7/2001 14:20:56 CDT Database id: 8657 Status Flags: none Score (*): 34.5881 (normalized score 0.0024)

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 21
Subcategory: "Sophie Germain (p)"
(archival tag id 192203, tag last modified 2009-11-18 16:20:05)

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.

field value prime_id 8657 person_id 9 machine Windows XP P4 1.8GHz what prime notes Primality testing 109433307*2^66452-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.96% 109433307*2^66452-1 is prime! (158.063000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 7, base 1+sqrt(7) modified 2003-03-25 11:25:00 created 2002-12-12 21:56:53 id 39413