Art of Problem Solving

1982 USAMO Problems/Problem 4: Difference between revisions

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== See Also ==
== See Also ==
{{USAMO box|year=1982|num-b=3|num-a=5}}
{{USAMO box|year=1982|num-b=3|num-a=5}}
{{MAA Notice}}


[[Category:Olympiad Number Theory Problems]]
[[Category:Olympiad Number Theory Problems]]

Revision as of 18:13, 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

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See Also

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

These problems are copyrighted © by the Mathematical Association of America.