MathDB
Problems
Contests
National and Regional Contests
India Contests
India IOQM
2020-21 IOQM India
8
8
Part of
2020-21 IOQM India
Problems
(1)
perfect square with digits k, k + 1, k + 2, 3k, k + 3 - IOQM 2020-21 p8
Source:
1/18/2021
A
5
5
5
-digit number (in base
10
10
10
) has digits
k
,
k
+
1
,
k
+
2
,
3
k
,
k
+
3
k, k + 1, k + 2, 3k, k + 3
k
,
k
+
1
,
k
+
2
,
3
k
,
k
+
3
in that order, from left to right. If this number is
m
2
m^2
m
2
for some natural number
m
m
m
, find the sum of the digits of
m
m
m
.
number theory
Perfect Square
Digit