Let p be an integer other than 0, ±1. (a) Prove that p is prime if...

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Let p be an integer other than 0, ±1.

(a) Prove that p is prime if and only if it has the propertythat whenever r and s are integers such that p = rs, then either r= ±1 or s = ±1.

(b) Prove that p is prime if and only if it has the propertythat whenever b and c are integers such that p | bc, then either p| b or p | c.

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