A173353 Numbers x such that 0 < |x^7 - y^3| < x^(11/3) for some number y.

2, 3, 32, 33, 34, 88, 442, 498, 942, 2266144, 12527271, 20160899, 272585923

Offset

1,1

Comments

No additional terms < 10^7. See A173348 for more information.

a(14) > 10^9. - Robert Price, Apr 20 2021

Links

Table of n, a(n) for n=1..13.

Mathematica

Solutions[7, 3, 10^7] (* see A173348 *)

Crossrefs

Cf. A173342 (n^7 and a cube are between consecutive squares)

Cf. A078933, A116884, A173348-A173379.

Sequence in context: A334489 A217761 A004843 * A032815 A176894 A041053

Adjacent sequences: A173350 A173351 A173352 * A173354 A173355 A173356

Keyword

nonn,more

Author

T. D. Noe, Feb 22 2010

Extensions

a(11)-a(13) from Robert Price, Apr 20 2021

Status

approved