Find an arithmetic progression of length six beginning with 7 that contains only primes.

Solution:Step-1:In this problem we need to find an arithmetic progression of length six beginning with 7 that contains only primes.Note:A prime number is a whole number greater than 1 , whose only two whole number factors are 1 and itself.The first few prime numbers are 2, 3, 5, 7, 11 and 13.Step-2:We know that the first prime number beginning with 7 is 7.The second number is 17, but the difference between 7 and 17 is 10.So, the next number is 27 , but it is not a prime number.So, the second number is not a 17 and 27.Step-3:37 is the next number and it is a prime number.So, the second number is 37 and the difference...