I have checked a lot of solutions where y is from 1 to 100,000 on Python, but none of them seem to work. Can you help me to find a solution to this equation? Is there even a solution?
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1are there any restrictions on our variables? There are many trivial solutions – Sina Babaei Zadeh Sep 26 '19 at 01:57
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6https://en.wikipedia.org/wiki/Mordell_curve – Will Jagy Sep 26 '19 at 02:01
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What if the equation is x^3+y^2=6 and they can be negative? – user690234 Sep 26 '19 at 02:58
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1@bor presumably integer solutions are intended. – Cheerful Parsnip Sep 26 '19 at 02:58
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1There is no solution in integers. See Theorem 2.4 of https://kconrad.math.uconn.edu/blurbs/gradnumthy/mordelleqn1.pdf. – KCd Sep 26 '19 at 04:52
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In the Mordell curve, can n be negative? – user690234 Sep 26 '19 at 08:08
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@user690234 Absolutely ok – MafPrivate Sep 26 '19 at 10:44
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okay, but is there solutions to x^3+y^2=6? – user690234 Sep 26 '19 at 12:50