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:||31 · 221957 - 1|
|Verification status (*):||Proven|
|Proof-code(s): (*):||gk : Keller, Proth.exe|
|Decimal Digits:||6612 (log10 is 6611.20697648786)|
|Rank (*):||80569 (digit rank is 1)|
|Entrance Rank (*):||2414|
|Currently on list? (*):||no|
|Submitted:||8/9/1998 10:49:08 CDT|
|Last modified:||8/9/1998 10:49:08 CDT|
|Removed (*):||1/25/1999 09:33:39 CDT|
|Score (*):||31.1566 (normalized score 0)|
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 31*2^21957-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.98% 31*2^21957-1 is prime! (13.499000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 3, base 1+sqrt(3) |
Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.