

A179240


a(n) is the smallest prime q > a(n1) such that, for the previous prime p and the following prime r, the fraction (qp)/(rq) has denominator equal to A006843(n) (or 0, if such a prime does not exist).


3



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
rq  qp. Thus a(1) = 5, a(2) = 11, a(3) = 17.


CROSSREFS

Cf. A006843, A168253, A179210, A179234, A179256, A001223
Sequence in context: A239709 A175249 A271982 * A176905 A084088 A314183
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



