

A233384


Positive integer solutions (x, y, z), with x <= y <= z, to the equation x*y*z = x + y + z + 2.


0




OFFSET

1,2


COMMENTS

For applications of the equation to Euler's theorem on cevians of a triangle, see Atzema and H. White (2005) and OllerMarcén (2013).


LINKS

E. Atzema and H. White, Euler on cevians, in "From Calculus to Computers: Using the Last 200 Years of Mathematics History in the Classroom", A. ShellGellasch and D. Jardine, eds., Cambridge University Press, 2005.


EXAMPLE

1*2*5 = 10 = 1+2+5+2, 1*3*3 = 9 = 1+3+3+2, 2*2*2 = 8 = 2+2+2+2.


CROSSREFS



KEYWORD

nonn,fini,full


AUTHOR



STATUS

approved



