Recent content by bamuelsanks

Hi guys, I've been working on a question which is as follows: For which real values of c will the set $\{1+cx, 1+cx^2, x-x^2\}$ be a basis for $P_2$? I'm coming up with the answer as no values of c, but am I really wrong? I've only checked linear independence, because it would imply that it...

Thanks for the quick replies! I understand it now, though I couldn't quite follow chisigma's response unfortunately. Apologies for not making clear that $n$ was not necessarily prime. Thanks again, SB

Hi guys. I'm rather new to number theory, and as part of an assignment I have been learning about various different primality tests. One of these tests is the Lucas primality test. As part of the reasoning behind the test, wikipedia states: "If [$a^{n-1} \equiv 1 \textrm{ (mod...