In this assignment you will write a Python program that reads a positive integer ? from user input, then prints out all of the prime numbers that are less than or equal to ?. We begin by reviewing a few topics from arithmetic. An integer ? is said to be divisible by another (non-zero) integer ? if and only if there exists an integer ? such that ? = ??. Equivalently, ? is divisible by ? if and only if the remainder of ? upon (integer) division by ? is zero. In this case, we say that ? is a divisor of ?. Every positive integer ? is a divisor of itself since ? = 1 ⋅ ?, and for the same reason, 1 is a divisor of every positive integer. An integer ? > 1 is called prime if its only positive divisors are 1 and ?. Note that 1 itself is not considered to be prime. A positive integer that is not prime is called a composite. Euclid showed that there are infinitely many prime numbers. Since every even number other than 2 is composite (being divisible by 2), there are also infinitely many composite numbers. The prime and composite sequences begin as follows. Primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, … Composites: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, ….
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