A173352 Numbers x such that 0 < |x^5 - y^3| < x^(7/3) for some number y.

2, 4, 23, 122, 199, 408, 4995, 7320, 44217, 177682, 394826, 1706886, 1738064, 8403388, 21194961, 110525339, 314033376, 328840890

Offset: 1

Author

T. D. Noe, Feb 22 2010

Keywords

• nonn

Comments

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

a(19) > 10^9. - Robert Price, Apr 18 2021

Crossrefs

Cf. A173341 (n^5 and a cube are between consecutive squares)

Cf. A078933, A116884, A173348-A173379.

Programs

Mathematica

Solutions[5,3,10^7] (* see A173348 *)

Extensions

a(15)-a(18) from Robert Price, Apr 18 2021