1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Prime Numbers as Ortho-normal basis for all numbers

  1. Mar 15, 2015 #1

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

  2. jcsd
  3. Mar 15, 2015 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member
    2017 Award

    What did you imagine for vector operations and inner product?
  4. Mar 15, 2015 #3
    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.

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook