A087373 Twin-prime-indexed primes (TWIPS): members of a pair of twin primes whose prime index is also a member of a pair of twin primes.

5, 11, 17, 31, 41, 59, 109, 179, 191, 283, 599, 859, 1063, 1153, 1723, 2081, 2341, 3001, 3259, 3299, 4421, 4549, 4787, 4933, 6361, 6661, 8221, 8233, 8389, 10009, 10457, 10861, 13693, 13709, 16141, 16693, 16901, 17387, 17659, 20441, 20477, 20773

Offset

1,1

Comments

If there are infinitely many twin primes, this sequence has an infinite number of terms.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

17 is a twin prime paired with 19. The 17th prime is 59 which is also a twin prime paired with 61.

Prog

(PARI) twips(n) = { forprime(x=3, n, x1=prime(x); if(isprime(x-2) || isprime(x+2), if(isprime(x1-2) || isprime(x1+2), print1(x1", ") ) ) ) }

Crossrefs

Sequence in context: A136292 A088046 A155882 * A155030 A030468 A277290

Adjacent sequences: A087370 A087371 A087372 * A087374 A087375 A087376

Keyword

easy,nonn

Author

Cino Hilliard, Oct 21 2003

Extensions

Offset corrected by Amiram Eldar, Jan 09 2020

Status

approved