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| Math Central | Quandaries & Queries |
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Question from JP, a student: Find a counterexample to the statement: The cube of a number added to the sum of five times the number and 1 is a prime number.The cube of a number added to the sum of five times the number and 1 is a prime number |
JP,
Try some examples. Evaluate "the cube of the number plus five times the number plus 1" for numbers starting at 1, 2, 3 and so on. Each time check to see if "the cube of the number plus five times the number plus 1" is a prime. Yo don't need to go very far until you fine one that is not a prime.
Penny
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