MathDB
Problems
Contests
Undergraduate contests
Putnam
2010 Putnam
A4
Putnam 2010 A4
Putnam 2010 A4
Source:
December 6, 2010
Putnam
modular arithmetic
number theory
greatest common divisor
logarithms
college contests
Putnam number theory
Problem Statement
Prove that for each positive integer
n
,
n,
n
,
the number
1
0
1
0
1
0
n
+
1
0
1
0
n
+
1
0
n
ā
1
10^{10^{10^n}}+10^{10^n}+10^n-1
1
0
1
0
1
0
n
+
1
0
1
0
n
+
1
0
n
ā
1
is not prime.
Back to Problems
View on AoPS