A303266 Least y for which x^4 + y^5 = z^6 for some x > 1 and z = A300566(n).

52488, 62208, 2970344, 12150000, 19059138, 64800000, 214990848, 196036848, 254803968, 759375000, 992436543, 1312200000, 1774821250, 7360538688, 12166529024

Offset

1,1

Comments

See the main entry A300566 for all further information.

The values listed here are the y-values corresponding to the z-values listed in A300566. The x-values are then readily computed as (z^6 - y^5)^(1/4).

Links

Table of n, a(n) for n=1..15.

Example

A300566(1) = 8748 is the smallest z such that z^6 = x^4 + y^5 for some x,y > 1, and the smallest such y is a(1) = 52488. It then follows that x = (8748^6 - 52488^5)^(1/4) = 472392.
A300566(2) = 10368 is the second smallest z such that z^6 = x^4 + y^5 for some x, y > 1, and the smallest corresponding y is a(2) = 62208. It then follows that x = (10368^6 - 62208^5)^(1/4) = 746496.

Crossrefs

Sequence in context: A237138 A201268 A200658 * A384341 A355309 A185530

Adjacent sequences: A303263 A303264 A303265 * A303267 A303268 A303269

Keyword

nonn,more,hard

Author

M. F. Hasler, Apr 23 2018

Extensions

a(4)-a(15) from Max Alekseyev, Apr 09 2026

Status

approved