SOLUTION: For a positive integer n, if both n and n + 2 are prime, then they are known as twin primes. For example, 59 and 61 are twin primes. Whether or not there are an in finite number o

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Question 476133: For a positive integer n, if both n and n + 2 are prime, then they are known as twin primes.
For example, 59 and 61 are twin primes. Whether or not there are an in finite number of twin primes is a famous unsolved problem in number theory.
Find all positive integers such that n, n + 2, and n + 4 are all prime.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
n = 3 is the only solution. If n is odd and larger than three, exactly one of n, n+2, n+4 will be a multiple of 3 (larger than 3), and composite.