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10. Show that if 2 m + 1 is an odd prime, then m = 2 n for some nonnegative integer n.[ Hint: First show that the polynomial identity x m + 1 = (x k + 1)(x k(t−1) − x k(t−2) +···−x k + 1) holds, where m = kt and t is odd.]
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10. Show that if 2 m + 1 is an odd prime, then m = 2 n for some nonnegative integer n.[ Hint: First...
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