Re: quadratic residues confusion

David C. Ullrich wrote:

but since Legendre symbols have values {1,-1}
does that mean if I have (-1)*(-1)=1 ==>> two non-residues multipled
together to get a residue?
strange

Why is it strange for the product of two non-squares to be a square?

I suspect that what's strange to the OP is not the fact that, in this
context, the product of two non-squares *can* be a square, but the fact
that the product of two non-squares *is always* a square.

Best regards,

Jose Carlos Santos
.

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