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The next odd integer after 40 is 41
It is prime. By the way, any integer greater than 1 is either prime or composite. "Neither" is not an option in such a case.
41 is a prime number. A whole number (integer) greater than one is called a "prime number" if it has no positive divisors/factors other than itself and one.
41 / 8 = 5 r. 1 or 41 / 5 = 8 r. 1