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:||42209# + 1|
|Verification status (*):||Proven|
|Proof-code(s): (*):||p8 : Caldwell, OpenPFGW|
|Decimal Digits:||18241 (log10 is 18240.7694428943)|
|Rank (*):||61536 (digit rank is 1)|
|Entrance Rank (*):||810|
|Currently on list? (*):||short|
|Submitted:||5/31/1999 13:22:25 CDT|
|Last modified:||5/31/1999 13:22:25 CDT|
|Score (*):||34.3014 (normalized score 0)|
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
- Primorial (archivable *)
- Prime on list: yes, rank 6
(archival tag id 192321, tag last modified 2012-03-01 18:50:06)
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||WinXP Athlon 1.3GHz|
|notes||PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 3 Primality testing 42209#+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.35% 42209#+1 is prime! (778.689000 seconds) |
Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.