Prime Numbers as Ortho-normal basis for all numbers

[Karim Habashy]

Hi,

Can we treat prime numbers as an Ortho-normal basis of "Infinite" dimensions to represent every possible number.
Treating numbers as vectors.

Thanks.

 

[Orodruin]

What did you imagine for vector operations and inner product?

 

[Karim Habashy]

I get your point, i was thinking of them as mutually independent parameters that i can represent any number as ∑a*(The prime Number), where a is a constant, like in Fourier analysis with the harmonics.

Thanks.