A051395 ?= A051386

Jud McCranie judmccr at bellsouth.net
Sun Jun 22 16:42:25 CEST 2003


At 07:34 AM 6/22/2003, all at abouthugo.de wrote:

>If we can write a^4 = p^3 + q^3 p>=q then it seems that
>we can also always write a^7 = u^3 + v^3 with u/v=p/q
>
>Can we express v=f(p,q) and thus merge both sequences into one?

I think it can be combined if we can be sure that there are no solutions 
for 7th powers other than the ones with equivalent 4th powers.  As you 
pointed out, a 4th power solution gives a 7th power one.  Is the reverse 
also true?  (It isn't clear to me.  I didn't think about it at the time.)
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