Maths
posted by Misha .
What is the largest threedigit number with the property that the number is equal to the sum of its hundreds digit, the square of its tens digit and the cube of its units digit?

my little BASIC program gave the following:
Chipmunk BASIC v3.6.5(b3)
4 possible cases:
135
175
518
598
testing for 518
518 > 5 + 1^2 + 8^3 = 5+1+512 = 518
YUP!
I ran the following little program
Chipmunk BASIC v3.6.5(b3)
>10 for a = 1 to 9
>20 for b = 0 to 9
>30 for c =0 to 9
>40 if(100*a+10*b+c) = a+b*b+c*c*c then print a,b,c
>50 next c
>60 next b
>70 next a
>run
1 3 5
1 7 5
5 1 8
5 9 8
>