A139265 Smaller of two numbers in lowest terms whose sum, sum of squares and sum of cubes are all squares. For larger number see A139266.

0, 184, -1143896, 147916017521041, -49439318996063948240399, 53160561724398540948189501125090985

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

Table of n, a(n) for n=0..5.

Andrew Bremner, "A Diophantine system", International Journal of Mathematics and Mathematical Sciences, vol. 9, no. 2, pp. 413-415, 1986. doi:10.1155/S0161171286000522

Gentleman's Diary Problem (in Japanese)

sci.math discussion March 2008

Example

a(1)=184 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

Cf. A139266.

Sequence in context: A151586 A194614 A232915 * A243628 A353388 A262053

Adjacent sequences: A139262 A139263 A139264 * A139266 A139267 A139268

Keyword

sign

Author

Henry Bottomley, Apr 13 2008

Status

approved