A065503 - OEIS

A065503

Indices k of primes p(k) such that p(k) is in A060213.

5, 7, 10, 13, 26, 33, 60, 113, 116, 142, 265, 288, 313, 332, 353, 384, 408, 484, 498, 542, 625, 636, 719, 805, 864, 1064, 1070, 1194, 1328, 1456, 1477, 1528, 1538, 1571, 1623, 1627, 1651, 1660, 1867, 2003, 2216, 2244, 2309, 2311, 2418, 2438, 2469, 2616, 2753

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OFFSET

1,1

COMMENTS

Original name: Let p(k) denote k-th prime; consider solutions (x,y) of Diophantine equation p(x+1)-6p(y)=1 (*), where p(x) belongs to A060213 and p(m)=(p(n)+1)/6; sequence gives values of x.

LINKS

Table of n, a(n) for n=1..49.

EXAMPLE

x=13084 and y=2612 satisfy equation (*) at the primes p(x)=140837 and p(y)=23473.

CROSSREFS

Cf. A060213, A065505.

Sequence in context: A093115 A020936 A025074 * A152001 A297000 A356218

Adjacent sequences: A065500 A065501 A065502 * A065504 A065505 A065506

KEYWORD

nonn

AUTHOR

Lubomir Alexandrov, Nov 25 2001

EXTENSIONS

Offset corrected, more terms, and title clarified by Sean A. Irvine, Sep 03 2023

STATUS

approved