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a cube = s.o.d . (Posted on 2017-06-15)

I've found a four-digit number ABCD such that
ABCD=(A+B+C+D)³

What is it ?

Is it unique?

No Solution Yet Submitted by Ady TZIDON

Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Paper & Pencil solution (spoiler)

Comment 3 of 3 |

(In reply to Paper & Pencil solution (spoiler) by Steve Herman)

It must be clever to realize Mod 9. But 10 < A + B + C + D < 22. Therefore, it's quick even to try and see each of these.

Posted by chun on 2017-06-15 15:09:22

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