12 Dec
2012
12 Dec
'12
2:47 p.m.
See https://sites.google.com/site/tpiezas/010 for the parametric solutions. Warut On Thu, Dec 13, 2012 at 4:34 AM, Dan Asimov <dasimov@earthlink.net> wrote:
Just wrote a little program and ran it on numbers <= 1000, to get:
<< 9^3 + 10^3 = 12^3 + 1
64^3 + 94^3 = 103^3 + 1
73^3 + 144^3 = 150^3 + 1
135^3 + 235^3 = 249^3 + 1
244^3 + 729^3 = 738^3 + 1
334^3 + 438^3 = 495^3 + 1
Hmm, now I wonder about the asymptotic density of solutions.
--Dan
I wrote:
QUESTION: Are there other examples of integers x, y, z for which
x^3 + y^3 = z^3 + 1
???
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