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

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==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.
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==Solution==
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==See also==
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{{JBMO box|year=2007|num-b=3|after=Last Problem}}
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[[Category:Intermediate Number Theory Problems]]

Revision as of 09:17, 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