Determine all possible
primes p such that each of p8, p4, p+8 and p+12 are also primes.
All primes greater than 3 are of 6k+1 or 6k1
Let p8 > 11 => p>19
Case(i): Let p=6k1
then p8 = 6k9 = 3*(2k3)
So, p8 is not prime
Case(ii): Let p=6k+1
then p4 = 6k3 = 3*(2k1)
So, p4 is not prime in this case
p<19
The only value that satisfies these conditions is p=11.

Posted by Praneeth
on 20071227 00:49:41 