Try to write each composite number on your list as the sum of two prime numbers.For example: 6 = 3 + 3 and 8 = 3 + 5

All prime numbers other than 2 and 3 can be written as one more than a multiple of 6 or one less than a multiple of 6 and not vice versa. For example, 19 can be written as 6*3 + 1, 23 can be written as 6*4 - 1, 97 can be written as 6*16 + 1 and so on.A number 'n' can be immediately said as composite if it is not in the form of 6*m + 1 or 6*m -1 for some m>=1.

Which list below only shows composite numbers?ResponsesA 18, 92, 9518, 92, 95B 2, 4, 82, 4, 8C 91, 97, 491, 97, 4D 37, 47, 67

Unique PrimeSend FeedbackProblem Statement:Write a program that takes a list of numbers as input and prints all the unique prime numbers from the list in a single line. The program should contain two functions: one to check if a number is prime and another to return the unique values from the list.Input:A list of numbers.Output:The function should return a single line containing the unique prime numbers from the list.Sample Input:[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13]Sample Output:2 3 5 7 11 13

Given the list primes, ``primes = [2, 3, 5, 7, 11, 13, 17, 19, 23,29]``, How do you obtain the primes 2 and 13?

Create a Python function that takes a list of integers as input andreturns a new list containing only the prime numbers from the input list.Provide a clear explanation of your implementation and include a test case.