> don't completely understand your first proof. Perhaps an example would help. Let p=19. Since it's 3 mod 8, p-2=17 is a QR. Could a smaller prime's QR be that large? > Observation 17. ... whether there exist any "twin glitches" in ~A. Here's the first one: 615090911 615090910 615090913 615090908 615090961 615090902 -- Don Reble djr at nk.ca