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:||262419 · 2262419 + 1|
|Verification status (*):||Proven|
|Proof-code(s): (*):||DS : Smith_Darren, Proth.exe|
|Decimal Digits:||79002 (log10 is 79001.4094274225)|
|Rank (*):||45027 (digit rank is 1)|
|Entrance Rank (*):||8|
|Currently on list? (*):||short|
|Submitted:||3/8/1998 17:57:01 CDT|
|Last modified:||3/8/1998 17:57:01 CDT|
|Score (*):||38.8278 (normalized score 0.0065)|
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
- Cullen primes (archivable *)
- Prime on list: yes, rank 6
Subcategory: "Cullen primes"
(archival tag id 188565, tag last modified 2009-08-04 21:58:38)
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 P4 1.8GHz|
|notes||PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 5 Primality testing 262419*2^262419+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 262419*2^262419+1 is prime! (492.016000 seconds) |
Query times: 0.0006 seconds to select prime, 0.0006 seconds to seek comments.