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

1,1

Comments

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

Links

Table of n, a(n) for n=1..47.

Example

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

Sequence in context: A175249 A271982 A338239 * A176905 A373656 A352273

Adjacent sequences: A179237 A179238 A179239 * A179241 A179242 A179243

Keyword

nonn

Author

Vladimir Shevelev, Jan 06 2011

Extensions

More terms from Alois P. Heinz, Jan 06 2011

Status

approved