A173269 2*prime(prime(n))-3 and 3*prime(prime(n))-2 are both primes.
1, 2, 3, 8, 11, 14, 15, 19, 23, 24, 28, 39, 44, 47, 54, 62, 63, 81, 85, 101, 121, 122, 124, 136, 152, 159, 180, 218, 219, 241, 247, 253, 274, 290, 298, 307, 323, 324, 341, 361, 371, 376, 381, 403, 410, 413, 441, 443, 479, 487, 499, 552, 554, 556, 562, 582, 622
Offset: 1
Keywords
Examples
a(1)=1 because 2*p(p(1))-3=2*p(2)-3=2*3-3=3=prime and 3*p(p(1))-2=7=prime; a(2)=2 because 2*p(p(2))-3=2*p(3)-3=2*5-3=7=prime and 3*p(p(2))-2=13=prime; a(3)=3 because 2*p(p(3))-3=2*p(5)-3=2*11-3=19=prime and 3*p(p(3))-2=31=prime; a(4)=8 because 2*p(p(8))-3=2*p(19)-3=2*67-3=131=prime and 3*p(p(8))-2=199=prime.
Extensions
Inserted 23 and 24, removed 34, extended the sequence - R. J. Mathar, Mar 01 2010