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What geometric applications do prime numbers have?

  1. Jan 3, 2009 #1
    The Fibonacci numbers seem intimately connected with geometry. Prime numbers appear to avoid geometrics, however. Can you give some counterexamples of this latter statement?
  2. jcsd
  3. Jan 3, 2009 #2


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    A set of n objects can be place in an i by j rectangular array with i and j both greater than one if and only if n is NOT prime.
  4. Jan 3, 2009 #3
    Is the set of points constituting (n>1)-dimensional rectangular quadrilaterals and numbered non-prime larger than such a set numbered prime? Does this hold for both n real and n integer?
    Last edited: Jan 3, 2009
  5. Jan 4, 2009 #4
    Rectangles and prime cardinality

    Sorry for the mix-up.

    Please consider the special case:

    "Is the count of all rectangles each containing a total non-prime number of points greater than the count of all rectangles each containing a total prime number of points?
    Last edited: Jan 5, 2009
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