A076693 Numbers n such that the average of prime(n) and prime(n+1) is a perfect cube.

18, 269, 564, 2020, 2460, 4821, 10499, 17583, 25030, 27154, 34238, 39583, 82915, 92295, 107454, 121248, 142474, 148961, 159031, 162482, 233036, 250923, 342833, 365844, 427518, 460792, 467647, 481615, 741275

Offset: 1

Author

Joseph L. Pe, Oct 25 2002

Keywords

• easy
• nonn

Examples

			The average of prime(18) and prime(19) is (61 + 67)/2 = 4^3, so 18 is a term of the sequence.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..500

Crossrefs

Cf. A000578, A024675.

Programs

Mathematica

Select[Range[10^6], IntegerQ[((Prime[ # ] + Prime[ # + 1])/2)^(1/3)] &]