number theory theory

(a) Show that n7 − n is divisible by 42 for every positive integer n. (b) Show that every prime not equal to 2 or 5 divides infinitely many of the numbers 1, 11 ...

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Examples include 2, 3, 5, 7, 11, 13, and so on. For example, 4 (divisible by 2), 6 (divisible by 2 and 3), 9 (divisible by 3). An example is: 'Is 29 a prime ...

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