A096478 a(n) = A000040(A096477(n)), i.e., prime(a(n)) and prime(a(n)+1) are twin primes.

2, 3, 5, 7, 13, 17, 41, 43, 83, 89, 109, 113, 173, 277, 307, 313, 353, 373, 463, 563, 577, 601, 613, 643, 673, 719, 743, 1117, 1123, 1171, 1279, 1571, 1621, 1627, 1709, 1741, 1823, 1867, 1907, 1949, 1979, 1987, 1999, 2003, 2063, 2099, 2153, 2287, 2309, 2311

Offset: 1

Author

Labos Elemer, Jun 23 2004

Keywords

• nonn

Comments

Gives primes in A029707. - Pierre CAMI, Apr 20 2006

Examples

			89 is a term since it is a prime and prime(89 + 1) - prime(89) = 463 - 461 = 2; the prime with subscript 89 (which is prime) and the next prime (i.e., prime(90)) are twin primes.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Vincenzo Librandi)

Crossrefs

Cf. A000040, A006450, A072677, A073124, A096477.

Cf. A029707, A000720.

Programs

Mathematica

Prime[Flatten[Position[Table[Prime[Prime[n]+1]-Prime[Prime[n]], {n, 1, 1000}], 2]]]