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A184982 Numbers n >= 3 such that the Diophantine equation x^4 + y^4 = n*z^2 has an infinite number of inequivalent nonzero solutions (x,y,z). 1

%I #13 Apr 01 2018 13:07:16

%S 17,82,97,113,193,257,274,337,433,514,577,593,626,641,673,706,881,914,

%T 929,1153,1217,1297,1409,1522,1777,1873,1889,1921,2129,2402,2417,2434,

%U 2482,2498,2642,2657,2753,2801,2833,2897,3026,3121,3137,3298,3329,3457,3649,3697,4001,4097,4129,4177,4226,4289,4481,4546

%N Numbers n >= 3 such that the Diophantine equation x^4 + y^4 = n*z^2 has an infinite number of inequivalent nonzero solutions (x,y,z).

%D Henri Cohen, Number Theory: Volume I: Tools and Diophantine Equations, Springer, 2010. See p. 395.

%D W. D. Smith, Posting to the Math Fun Mailing List, Dec 21 2011.

%Y Cf. A209078.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Dec 22 2011

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Last modified August 29 06:09 EDT 2024. Contains 375510 sequences. (Running on oeis4.)