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# Math challenge

Posted on 2011-02-25

Hi guys,

This is my first time here so be gentle : )

I have this math riddle which is waaay over my league.

Maybe you could help out:

Let S be the following set of integers:

S = {3125 , 46656 , 65536 , 823543 , 16777216 , 387420489}

What are all the solutions for the vector [a,b,n,c] for assigning the integers above (Si) in the following equation (I will break it down to parts I,J,K,L,M for simplification):

I = Si * b * ln(n)

J = a * sqrt( 1 + b^2 * ln(n)^2 )

K = a * ln(n)

L = ln( 1 + I / J )

M = L / K

c = cos(M) / sin(M)

any ideas?

P