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

1,1

Links

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

Example

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

Mathematica

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

Crossrefs

Cf. A000578, A024675.

Sequence in context: A254248 A080583 A273589 * A083445 A159740 A115903

Adjacent sequences: A076690 A076691 A076692 * A076694 A076695 A076696

Keyword

easy,nonn

Author

Joseph L. Pe, Oct 25 2002

Status

approved