MathDB
Problems
Contests
National and Regional Contests
Bulgaria Contests
Bulgaria National Olympiad
1995 Bulgaria National Olympiad
1
1
Part of
1995 Bulgaria National Olympiad
Problems
(1)
n>1 divides a^{25} - a for evey integer a
Source: 1995 Bulgaria NMO, Round 4, p1
7/30/2021
Find the number of integers
n
>
1
n > 1
n
>
1
which divide
a
25
ā
a
a^{25} - a
a
25
ā
a
for every integer
a
a
a
.
number theory
divides
divisible