A303267 Least y for which x^5 + y^6 = A300567(n)^7 for some x > 1.

32768, 56953125, 120472576

Offset

1,1

Comments

This is the list of y values corresponding to the solutions z of z^7 = y^6 + x^5 listed in A300567. The x values are then readily computed as (z^7 - y^6)^(1/5).

See the main entry A300567 for all further information.

Links

Table of n, a(n) for n=1..3.

Example

A300567(1) = 8192 is the smallest z such that z^7 = x^5 + y^6 for some x,y > 1, and the smallest such y is a(1) = 32768. It then follows that x = (8192^7 - 32768^6)^(1/5) = 262144.
A300567(2) = 7593750 is the second smallest z such that z^7 = x^5 + y^6 for some x, y > 1, and the smallest corresponding y is a(2) = 56953125. It then follows that x = (7593750^7 - 56953125^6)^(1/5) = 4271484375.

Crossrefs

Sequence in context: A010803 A236223 A183817 * A323545 A017693 A013963

Adjacent sequences: A303264 A303265 A303266 * A303268 A303269 A303270

Keyword

nonn

Author

M. F. Hasler, Apr 23 2018

Status

approved