A087418 Consider pairs (p,k) such that p is a prime, q and r are the two primes following p, 0<k<q and k*primorial(p)+q and k*primorial(p)+r are consecutive primes; sequence gives values of p.

2, 3, 3, 3, 5, 5, 5, 5, 7, 7, 7, 7, 7, 11, 11, 11, 13, 13, 19, 23, 23, 29, 31, 37, 37, 41, 41, 41, 41, 41, 43, 53, 59, 61, 67, 67, 71, 73, 89, 89, 97, 97, 101, 101, 103, 103, 107, 137, 137, 173, 173, 179, 181, 191, 193, 197, 211, 223, 227, 227, 239, 251, 257, 263, 293, 311

Offset

1,1

Links

Table of n, a(n) for n=1..66.

Example

3 occurs three times because k*(2*3)+5 and k*(2*3)+7 are consecutive primes for k=1,2,4.

Crossrefs

Cf. A002110, A087419.

Sequence in context: A295820 A164023 A097224 * A087731 A308172 A227559

Adjacent sequences: A087415 A087416 A087417 * A087419 A087420 A087421

Keyword

nonn

Author

Pierre CAMI, Oct 22 2003

Extensions

Edited by Don Reble, Nov 09 2005

Status

approved