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Just 4 different digits (Posted on 2017-12-03) Difficulty: 3 of 5
Let m*n=w (i)

m is a 3-digit number
so is n
w is a 6-digit number

In equation (i) only 4 distinct digits are used.

Find the possible equations.

No Solution Yet Submitted by Ady TZIDON    
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Some Thoughts Too many - here's some | Comment 1 of 10
A quick look at some perfect squares yields some easy ones.
Repdigits
666*666=443556
888*888=788554
999*999=998001
there are many ending in 1 or 2 zeros, for example:
800*800=640000
630*630=390900
also, many ending in 1, 5 or 6 since the square will too:
501*501=251001
715*715=511225
more interesting then are some sporadic ones:
369*369=136161
472*472=222784
642*642=412514
I like these 3 in a row:
525*525=275625
526*526=276676
527*527=277729

Some non-perfect square examples that use zeros at the end are a bit of a cheat:
200*600=120000
500*800=400000
500*900=450000

I'm sure a computer solution will turn up dozens more if not hundreds.



  Posted by Jer on 2017-12-03 10:24:46
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