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Conjectured list of values of n such that the Diophantine equation a^4 + b^4 = n*c^2 has infinitely many solutions with 0 < a < b.
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%I #16 Feb 22 2019 02:03:21

%S 17,68,82,97,113,153,193,257,272,274,328,337,388,425,433,452,514,577,

%T 593,612,626,641,673,706,738,772,833,873,881,914,1017

%N Conjectured list of values of n such that the Diophantine equation a^4 + b^4 = n*c^2 has infinitely many solutions with 0 < a < b.

%C The squarefree terms, namely: 17, 82, 97, 113, 193, 257, 274, 337, 433, 514, 577, 593, 626, 641, 673, 706, 881, 914, ... make a more interesting sequence, which is already in the OEIS as A184982. - _James R. Buddenhagen_, Mar 04 2012

%D W. D. Smith, Posting to Math Fun Mailing List, Dec 10 2011.

%Y Cf. A184982.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Mar 04 2012