A193687 Numbers n such that the sum of n-th average of a twin prime pair and the n-th twin prime is also a twin prime.

1, 2, 3, 4, 5, 6, 8, 10, 11, 13, 15, 22, 24, 32, 35, 36, 43, 44, 53, 55, 59, 67, 68, 70, 71, 73, 78, 82, 86, 108, 109, 113, 129, 132, 147, 151, 152, 154, 155, 159, 164, 165, 166, 168, 172, 173, 181, 193, 206, 211, 229, 231, 241, 260, 262, 271, 272, 277, 286

Offset: 1

Author

Juri-Stepan Gerasimov, Dec 18 2011

Keywords

• nonn

Examples

			a(8)=10 because 108+41=149 where 149 is a twin primes and A014574(10)=108, A001097(10)=41.
		

Crossrefs

Cf. A001097, A014574.

Programs

Maple

isA001097 := proc(n)
    if isprime(n) then
        if isprime(n+2) or isprime(n-2) then
            true;
        else
            false;
        end if;
    else
        false;
    end if;
end proc:
# see A001097 and A014574 for the other pieces of the Maple program
for n from 1 to 300 do
    if isA001097(A001097(n)+A014574(n)) then
        printf("%d,",n);
    end if;
end do: # R. J. Mathar, Feb 19 2015

Extensions

Corrected by R. J. Mathar, Feb 19 2015