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:
|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 (*):||51139 (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|
|Score (*):||37.4835 (normalized score 0.0019)|
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
- Twin Primes (archivable *)
- Prime on list: yes, rank 12
Subcategory: "Twin (p)"
(archival tag id 190051, tag last modified 2016-09-15 05:50:06)
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.
|machine||Windows XP P4 1.8GHz|
|notes||Primality 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) |
Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.