33218925 · 2169690 - 1
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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:33218925 · 2169690 - 1
Verification status (*):Proven
Official Comment:Twin (p)
Proof-code(s): (*):g259 : Papp, Proth.exe
Decimal Digits:51090   (log10 is 51089.3013497951)
Rank (*):52747 (digit rank is 31)
Entrance Rank (*):820
Currently on list? (*):short
Submitted:9/28/2002 02:18:33 CDT
Last modified:9/28/2002 02:18:33 CDT
Database id:883
Status Flags:none
Score (*):37.4835 (normalized score 0.0016)

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.
Twin Primes (archivable *)
Prime on list: yes, rank 13
Subcategory: "Twin (p)"
(archival tag id 190051, tag last modified 2017-07-04 19:20:06)

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.
machineWindows XP P4 1.8GHz
notesPrimality testing 33218925*2^169690-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 33218925*2^169690-1 is prime! (863.746000 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 11:24:27
created2002-12-22 17:54:07

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.