Difference between revisions of "2007 USAMO Problems/Problem 5"

Revision as of 18:06, 25 April 2007

Prove that for every nonnegative integer $n$ , the number $7^{7^n}+1$ is the product of at least $2n+3$ (not necessarily distinct) primes.

2007 USAMO (Problems • Resources)
Preceded by Problem 4	Followed by Problem 6
1 • 2 • 3 • 4 • 5 • 6
All USAMO Problems and Solutions

@@ Line 1: / Line 1: @@
 == Problem ==
+Prove that for every nonnegative integer <math>n</math>, the number <math>7^{7^n}+1</math> is the product of at least <math>2n+3</math> (not necessarily distinct) primes.
 == Solution ==
-== See also ==
 {{USAMO newbox|year=2007|num-b=4|num-a=6}}