Adi's Mathematics


Number Theory

(1) Find two 3-digit numbers A and B such that:
a^3 + b^3 + c^3 = B,  x^3 + y^3 + z^3 = A
where  A = 100a + 10b + c  

and    B = 100x + 10y + z

(2) Find The Smallest Number With 500 Factors.

(3) Find The Simplex Edge Length X

What is the value of edge length x in all n dimensions, where the volume v of the regular simplex equals one?

(4) A Binary Problem.

When 0.1rec in binary is converted into decimal what value do we get?