One day, i was thinking about primes that add up to 30 and all i thought about was:
(7,23) , (11,19) , (13,17)
And i found out that the interesting thing when I got the difference of each pair they were actually powers of 2!
And the prime factorization of 30 was 2^1 times 3^1 times 5^1 which were consecutive primes. So i suspect there is a relationship that does this