Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Given a positive integer m, let Tm = {a in N | aΦ8m ≡ 1 (mod 8m), 1 ≤ a ≤ 8m}. If aΦ8m≡ 1 (mod 8m), show that (a, 8m) = 1.