MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN A Problems
114
A 114
A 114
Source:
May 25, 2007
number theory
greatest common divisor
modular arithmetic
Divisibility Theory
Problem Statement
What is the greatest common divisor of the set of numbers
{
16
n
+
10
n
−
1
∣
n
=
1
,
2
,
⋯
}
?
\{{16}^{n}+10n-1 \; \vert \; n=1,2,\cdots \}?
{
16
n
+
10
n
−
1
∣
n
=
1
,
2
,
⋯
}?
Back to Problems
View on AoPS