Can you find three consecutive odd numbers that are prime numbers?
Yes, 3, 5, 7 are three consecutive odd primes.
And is it possible to find another set of three consecutive odd numbers that are prime.
No.
Explain.
Let's write down some consectutive odd numbers
1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,...
I'll color the multiples of 3 red:
1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,...
Notice there are only two odd numbers between one odd multiple of 3
and the next odd multiple of 3, so if you had three consecutive odd
numbers which were prime, one of them would have to be a multiple
of 3, and the only odd multiple of 3 that is prime, is 3x1 or 3
itself!
Edwin
