Posted by **Misha** on Thursday, August 7, 2014 at 6:09am.

What is the largest three-digit 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?

- Maths -
**Reiny**, Thursday, August 7, 2014 at 8:07am
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

>

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