Difference between revisions of "1982 USAMO Problems/Problem 4"

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== See Also ==
 
== See Also ==
 
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[[Category:Olympiad Number Theory Problems]]
 
[[Category:Olympiad Number Theory Problems]]

Revision as of 19:13, 3 July 2013

Problem

Prove that there exists a positive integer $k$ such that $k\cdot2^n+1$ is composite for every integer $n$.

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See Also

1982 USAMO (ProblemsResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5
All USAMO Problems and Solutions

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