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

Offset: 1

Author

Lubomir Alexandrov, Nov 25 2001

Keywords

• nonn

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.

Examples

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

Crossrefs

Cf. A060213, A065505.

Extensions

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