Subjects number theory

Prime Counterexample 687A6C

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1. The problem asks to find counterexamples to the statement: "All prime numbers are odd." 2. Recall the definition: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. 3. The statement claims all prime numbers are odd, so a counterexample would be a prime number that is not odd (i.e., an even prime number). 4. Check each option: - A) 2: 2 is prime and even, so it is a counterexample. - B) 3: 3 is prime and odd, not a counterexample. - C) 7: 7 is prime and odd, not a counterexample. - D) 8: 8 is even but not prime, so not a counterexample. - E) 13: 13 is prime and odd, not a counterexample. - F) 22: 22 is even but not prime, so not a counterexample. 5. Therefore, the only value that provides a counterexample is 2. Final answer: A) 2