# Find an arithmetic progression of length six beginning

## Problem 22E Chapter 4.SE

Discrete Mathematics and Its Applications | 7th Edition

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Problem 22E

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

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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...

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