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Select a counter-example that makes the conclusion false. 3 is prime, 5 is prime, 7 is prime Conclusion: All odd numbers are prime. Counterexample:
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well 9 is also an odd number but it is not prime!!!
15, 21, 25, 27, and so on.....
Any number may be called "prime": it is entirely up to each person's subjective evaluation as to whether a number has been divided fairly.
mathmagician: Not if you assume the usual definition of "prime". Since only a counter example is needed, 9 will do just fine: 9 = 3 x 3, so it has factors that are not 1 and the number itself, therefore it is not prime.
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