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What is the smallest prime divisor of \(5^{23}+7^{17}\)?

 Oct 16, 2018

Best Answer 

 #1
avatar+4824 
+4

\(5^{23} \text{ is odd}\\ 7^{17} \text{ is odd} \\ 5^{23} + 7^{17} = \text{odd} + \text{odd} = \text{even} \\ \text{therefore 2 will the smallest prime divisor}\)

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 Oct 16, 2018
 #1
avatar+4824 
+4
Best Answer

\(5^{23} \text{ is odd}\\ 7^{17} \text{ is odd} \\ 5^{23} + 7^{17} = \text{odd} + \text{odd} = \text{even} \\ \text{therefore 2 will the smallest prime divisor}\)

Rom Oct 16, 2018
 #2
avatar+331 
+2

I get it, Thank you!

MathCuber  Oct 18, 2018

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