login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A303267 Least y for which x^5 + y^6 = A300567(n)^7 for some x > 1. 2

%I #8 May 05 2018 16:37:21

%S 32768,56953125,120472576

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

%C 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).

%C See the main entry A300567 for all further information.

%e 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.

%e 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.

%K nonn

%O 1,1

%A _M. F. Hasler_, Apr 23 2018

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)