A179240 - OEIS

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

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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