Are there any triples of primes so the difference between any two of sequential number equals 2? (Except the above...)
Hello, Also sprach Zarathustra!
Are there any other triples of primes that differ by 2?
Since is the only even prime,
. . any such triple of primes must be consecutive odd numbers.
It can be shown that, in a set of three consecutive odd numbers,
. . one of them will be divisible by 3.
Crank out a list of three consecutive odd numbers:
And we see that is the only such triple of primes.