1969 IMO Problems/Problem 1
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Problem
Prove that there are infinitely many natural numbers with the following property: the number
is not prime for any natural number
.
Solution
The equation was ,you can put
for all natural numbers m. So you will get
so you get
is composite for all
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.
See Also
1969 IMO (Problems) • Resources | ||
Preceded by First question |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 2 |
All IMO Problems and Solutions |