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2021
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2021

Majumdar, Dipramit, Sury, B.

We show that the Diophantine equation given by X^3+ XYZ = Y^2+Z^2+5 has no integral solution.

As a consequence, we show that the family of elliptic curve given by the Weierstrass equations Y^2-kXY = X^3 - (k^2+5) has no integral point.

https://thehighergeometer.wordpress.com/2021/07/27/diophantine-fruit/
2021
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