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2013 CHMMC (Fall)
10
2013 Fall Team #10
2013 Fall Team #10
Source:
March 26, 2022
number theory
Problem Statement
Compute the lowest positive integer
k
k
k
such that none of the numbers in the sequence
{
1
,
1
+
k
,
1
+
k
+
k
2
,
1
+
k
+
k
2
+
k
3
,
.
.
.
}
\{1, 1 +k, 1 + k + k^2 , 1 + k + k^2 + k^3, ... \}
{
1
,
1
+
k
,
1
+
k
+
k
2
,
1
+
k
+
k
2
+
k
3
,
...
}
are prime.
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