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Thread: Square Modulo P

  1. December 7th 2009, 04:21 PM #1
    Raist
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    Square Modulo P

    Does there exist an odd prime number such that every integer prime to p is a square modulo p?
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  2. December 7th 2009, 05:21 PM #2
    Bruno J.
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    No, because any square mod p p must be a root of the polynomial x^{(p-1)/2}-1, which has exactly (p-1)/2 roots.
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