MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN E Problems
22
22
Part of
PEN E Problems
Problems
(1)
E 22
Source:
5/25/2007
Let
p
p
p
be a prime number. Prove that there exists a prime number
q
q
q
such that for every integer
n
n
n
,
n
p
ā
p
n^p -p
n
p
ā
p
is not divisible by
q
q
q
.
modular arithmetic