MathDB
Problems
Contests
National and Regional Contests
Russia Contests
All-Russian Olympiad Regional Round
1993 All-Russian Olympiad Regional Round
11.1
sum of digits of 5^n = 2^n All-Russian MO 1993 Regional (R4) 11.1
sum of digits of 5^n = 2^n All-Russian MO 1993 Regional (R4) 11.1
Source:
August 26, 2024
number theory
sum of digits
Problem Statement
Find all natural numbers
n
n
n
for which the sum of digits of
5
n
5^n
5
n
equals
2
n
2^n
2
n
.
Back to Problems
View on AoPS