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Math Help - Prove that, for odd...

  1. #1
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    Prove that, for odd...

    (Note that pi should be taken as meaning p sub i. I don't know how to do formatting with this, and when I try, it removes it.)

    Prove that, for odd pi, we have ∑((pi-1)/2) is congruent to ((pi)-1)/2 mod 2.
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    Hint : split up the p_i's into two classes, according to whether they are \equiv 1 \mod 4 or \equiv -1 \mod 4.
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