Reference no: EM131260687
Python
1. If m and n are integers, define a function sum (m, n) is the sum of all integers in the interval (m.n), which is 0 if the interval is empty.
2. If m and n are integers, define a function product (m, n) is the product of all integers in theinterval (m, n), which is 1 if the interval is empty.
3. If m, n and k are integers, define a function hasDivisors (k, m, n) that checks if and only if k has atleast one divisor in the interval (m, n).
4. If m is an integer, define a function isPrime (m) that checks if m is prime number.
5. If m is an integer, define a function isPerfect (m) that checks if m is perfect number.
6. If m is an integer, define a function sumUpTo (m) is the sum of integers in (0, m).
7. If m is an integer which is not zero, define a function greatestDivisor (m) that returns thegreatest divisor of m.
8. If m and n are integers which are not both zero, define a function gcd (m, n) that returns thegreatest common divisor of m and n.
9. If k, m, and n are integers, define a function numDivs (k, m, n) that returns the number ofdivisors of k in the interval (m, n).
10. If m is an integer, define a function productPrimes (m, n) that return the product of the primenumbers in the interval (m, n).
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