

A139266


Larger of two numbers in lowest terms whose sum, sum of squares and sum of cubes are all squares.


4




OFFSET

0,2


COMMENTS

To be in lowest terms the two numbers do not need to be coprime, but their highest common factor does need to be squarefree.


LINKS

Andrew Bremner, "A Diophantine system", International Journal of Mathematics and Mathematical Sciences, vol. 9, no. 2, pp. 413415, 1986. doi:10.1155/S0161171286000522


EXAMPLE

a(1)=345 since 184 and 345 have the properties 184+345=529=23^2, 184^2+345^2=152881=391^2 and 184^3+345^3=47293129=6877^2.


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



