A prime number is a positive integer that is evenly divisible only by 1 and itself. Write a predicate function called is_prime that accepts an integer parameter and returns true if that number is prime and false otherwise. Assume that the parameter is a positive integer.

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Answer 1

The requirement of the given question is that we need to write a function that takes a positive integer number as a parameter and checks if the number is a prime number or not. If the number is a prime number then it returns true. But if the number is not a prime number then it returns false.

The required function is written here in Python:

def is_prime(number): ''' This is function named “is_prime” that accepts a     positive integer “number” as a parameter’’’

if number < 2: '''It checks if the “number” is less than 2. The smallest                                                   prime number is 2 so no need to check numbers less                                              than 2'''

return False ''' If the above condition is true , it returns “false” that the                 “Number” is not prime.'''

for i in range(2, number):  '''This is for loop runs with an increment of one through all numbers specified in the “range function”                                             i.e. from 2 to the value of “number” exclusively'''

  if (number % i) == 0:     ''' Checks if ”0” remainder is found, then           the “number” is not prime'''

    return False        # “Number” is not prime so it returns “false”

return True '''When it has looped through the entire range of                                                               values from 2 to “number-1” and does not find a value that gives “0” remainder, then the “number” is prime, thus returns “true”.'''

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