Is your number theory conjecture true of all nonnegative integers? Some numbers to test looking for counterexamples:

0, 1, 2, 3 (first odd prime), 4 (first square larger than 1), 6 (first product of two distinct primes), 8 (first cube larger than 1), 9 (first square of an odd prime), 15 (first product of distinct odd primes), 27 (first cube of an odd prime), 30 (first product of 3 primes), 105 (first product of 3 odd primes).

And of course, try some negative numbers if you suspect it true for all integers.

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