In detail

Triplet Prime Numbers

Triplet Prime Numbers

We call those triples of consecutive odd prime numbers (a, b, c) such that a is prime, b = a + 2 is prime and c = b + 2 is prime.

Can you find all the triplets of triplet prime numbers that exist?

Solution

There is only one list of prime numbers that meet the imposed condition: (3, 5, 7)

The reason is that one of the three numbers will always be a multiple of 3 and the only prime number divisible by 3 is the number 3 itself.