Python

Will find and identify any prime numbers between the given start and end values. Primes are identified using a factorial.

Originally written as part of a solution for my May 2016 puzzle

```
import math
def checkNumPrime(n):
''' Check whether n is a prime number
'''
# Numbers less than 4 are all prime
if n < 4:
return True
# Numbers divisible by 2 or 3 aren't prime
if n%2 == 0 or n%3 == 0:
return False
# Create the seeds
di=2
i=5
# Work out the square root of n
# (no need to check anything higher)
lim = math.floor(math.sqrt(n))
while i < lim:
if n%i == 0:
return False
i=i+di
di=6-di
# If we got this far, didn't find a whole number.
# Number is prime
return True
def calculatePrimesForRange(s,e):
''' Iterate over each integer between start and end
return list
'''
primes = []
while s < e:
if checkNumPrime(s):
primes.append(s)
s = s+1
return primes
```

```
print calculatePrimesForRange(1,100)
[1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 25, 29, 31, 35, 37, 41, 43, 47, 49, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]
```

Primes, Numbers, Range, Factorial,