Difference between revisions of "2007 JBMO Problems/Problem 4"

(Created page with "Prove that if <math> p</math> is a prime number, then <math> 7p+3^{p}-4</math> is not a perfect square.")
 
Line 1: Line 1:
 +
==Problem 4==
 
Prove that if <math> p</math> is a prime number, then <math> 7p+3^{p}-4</math> is not a perfect square.
 
Prove that if <math> p</math> is a prime number, then <math> 7p+3^{p}-4</math> is not a perfect square.
 +
==Solution==
 +
 +
==See also==
 +
{{JBMO box|year=2007|num-b=3|after=Last Problem}}
 +
 +
[[Category:Intermediate Number Theory Problems]]

Revision as of 08:17, 2 April 2024

Problem 4

Prove that if $p$ is a prime number, then $7p+3^{p}-4$ is not a perfect square.

Solution

See also

2007 JBMO (ProblemsResources)
Preceded by
Problem 3
Followed by
Last Problem
1 2 3 4 5
All JBMO Problems and Solutions