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).

17, 82, 97, 113, 193, 257, 274, 337, 433, 514, 577, 593, 626, 641, 673, 706, 881, 914, 929, 1153, 1217, 1297, 1409, 1522, 1777, 1873, 1889, 1921, 2129, 2402, 2417, 2434, 2482, 2498, 2642, 2657, 2753, 2801, 2833, 2897, 3026, 3121, 3137, 3298, 3329, 3457, 3649, 3697, 4001, 4097, 4129, 4177, 4226, 4289, 4481, 4546

Offset

1,1

References

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

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

Links

Table of n, a(n) for n=1..56.

Crossrefs

Cf. A209078.

Sequence in context: A354012 A053826 A351267 * A088687 A321560 A034678

Adjacent sequences: A184979 A184980 A184981 * A184983 A184984 A184985

Keyword

nonn

Author

N. J. A. Sloane, Dec 22 2011

Status

approved