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

1,1

Comments

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

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

Links

Table of n, a(n) for n=1..18.

Mathematica

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

Crossrefs

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

Cf. A078933, A116884, A173348-A173379.

Sequence in context: A133834 A203103 A308164 * A366224 A009313 A009317

Adjacent sequences: A173349 A173350 A173351 * A173353 A173354 A173355

Keyword

nonn

Author

T. D. Noe, Feb 22 2010

Extensions

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

Status

approved