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May 17, 2011 at 2:22 comment added Omar Antolín-Camarena @Kevin: quoting a quasirandomness theorem to show edge density is 1/2 is overkill.
May 17, 2011 at 0:57 comment added Felipe Voloch For primes, this has been known since at least Gauss.
May 16, 2011 at 22:07 comment added Kevin O'Bryant The ``half the time'' comment is known to be true because the quadratic residue graph is quasirandom (this is in the seminal paper of Graham & Chung on quasirandom subsets of $Z/(n)$ from around 1990).
May 16, 2011 at 22:01 history answered Felipe Voloch CC BY-SA 3.0