Cox's bazar Hogher Secondary 2017#8

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samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm
Cox's bazar Hogher Secondary 2017#8

Unread post by samiul_samin » Sat Feb 24, 2018 12:57 am

$P$ is a prime number.$P^2+12$ has exactly $5$ divisors.What is the maximum value of $P^4$?

samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm

Re: Cox's bazar Hogher Secondary 2017#8

Unread post by samiul_samin » Sat Feb 24, 2018 12:58 am

Hint
$P$ is even.
Answer
$16$

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