A179240 a(n) is the smallest prime q > a(n-1) such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator equal to A006843(n) (or 0, if such a prime does not exist).

5, 11, 17, 19, 29, 41, 47, 67, 73, 97, 101, 359, 367, 379, 383, 389, 397, 419, 421, 449, 467, 547, 613, 631, 647, 683, 691, 733, 769, 797, 811, 929, 941, 1021, 1087, 1153, 1181, 1193, 1249, 1709, 1721, 1747, 1847, 1889, 2017, 2153, 2357

Offset: 1

Author

Vladimir Shevelev, Jan 06 2011

Keywords

• nonn

Comments

Conjecture: a(n) > 0 for all n.

Examples

			For n = 1..3, A006843(n) = 1, and p,q,r have to obey the condition
r-q | q-p. Thus a(1) = 5, a(2) = 11, a(3) = 17.
		

Crossrefs

Cf. A006843, A168253, A179210, A179234, A179256, A001223

Extensions

More terms from Alois P. Heinz, Jan 06 2011