Re: Pi Reward?!

On 16 mar, 03:18, Phil Carmody <thefatphil_demun...@xxxxxxxxxxx>
wrote:

A better contest (IMHO) would be to find the rational number
whose numerator and denominator are both primes, such that the
absolute value of the product of the denominator and the error
is minimised. That should help keep people away from continued
fractions, which are the magic bullet that's always rolled out
in situations like this.

Phil

With primes I found 211891/67447 = 3.141592657939
Following the Number Theory tradition the Quality
Index must be : 1 / (Error x denominator^2)
In this case: 1 / (4.3 10^(-9) x 67447^2) = 0.0505
355/113 have a Q.I = 294
Ludovicus
.

Relevant Pages

  • Re: Factoring, sf, and reasonable requests
    ... because ""has a denominator that has the same prime factors as T" is ... - The set of primes that divide the denominator is equal to the set ... Since I found rationals where the canonical factorizations of the ...
    (sci.math)
  • Re: Factoring, sf, and reasonable requests
    ... because ""has a denominator that has the same prime factors as T" is ... - The set of primes that divide the denominator is equal to the set ... Since I found rationals where the canonical factorizations of the ...
    (sci.crypt)
  • Self Study problem help - Group theory
    ... numerator and the denominator will decompose into powers of the primes ... no matter what the numerator ...
    (sci.math)
  • Re: sketch of small step in big proof
    ... C2 is not zero. ... of the primes in the interval of the denominator, ... primes in the denominator of R. ...
    (sci.math)
  • Re: tell me if this is right.
    ... I'm sick of fearing that I wouldn't pass college algebra ... > I) Factor out all the primes. ... > appears in any one denominator So, we get the following LCD. ...
    (sci.math)