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Prime Numbers as Ortho-normal basis for all numbers

  1. Mar 15, 2015 #1
    Hi,

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

    Thanks.
     
  2. jcsd
  3. Mar 15, 2015 #2

    Orodruin

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    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.

    Thanks.
     
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