%I
%S 5,10,12,20,21,26,28,31,32,33,35,37,38,41,43,44,45,49,52,53,57,58,60,
%T 64,69,70,72,73,75,80,81,83,84,85,87,89,93,96,98,104,108,109,113,116,
%U 118,120,124,126,130,134,140,142,143,147,152,155,159,163,164,165,169,171
%N Indices for which there is no twin prime pair between two consecutive primeindexed primes.
%C It is not known whether there will always be instances where no twin prime pair exists between two consecutive primeindexed primes.
%F x such that prime(prime(x)) and prime(prime(x+1)) contain no twin prime pair.
%e Prime(5) > prime(6) = 31 > 41 contains no twin prime pairs, so 5 is in the sequence.
%o (PARI) piptwins2(n) = { for(x=1,n, f=1; p1 = prime(prime(x)); p2 = prime(prime(x+1)); for(y=p1,p2, if(isprime(y) && y+2 <= p2 && isprime(y+2),f=0) ); if(f,print1(x",")) ) }
%K nonn
%O 1,1
%A _Cino Hilliard_, Oct 26 2003
