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Prove That the Following Three Statements About Positive Integers N n3+1n ^ { 3 } + 1

Question 184

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Prove that the following three statements about positive integers n are equivalent: (a) n is even; (b) n3+1n ^ { 3 } + 1 is odd:
(c) n21n ^ { 2 } - 1 is odd

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Prove that (a) and (...

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