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Multiplying Large Numbers

  1. Mar 1, 2008 #1
    I had this dumb though the other day. I can't help wonder if there would ever be a reason to use the convolution theorem to multiply large numbers. It is used to multiply polynomials. But you would need an awful lot of digits to get any efficiency advantages from it and it would not take care of the carry part of the operation.
     
  2. jcsd
  3. Mar 2, 2008 #2

    HallsofIvy

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  4. Mar 2, 2008 #3
    Okay, interesting. It seems that they use something like it for a prime number search.

    http://en.wikipedia.org/wiki/Great_Internet_Mersenne_Prime_Search

    However, there are perhaps superior methods since number theoretic transforms avoid rounding errors:
    http://en.wikipedia.org/wiki/Multiplication_algorithm#Fourier_transform_methods
     
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