Largest value of $n$
Find the largest value of $n$ such that $n^3+10$ is divisible by $n+10$.
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Re: Largest value of $n$
"Go down deep enough into anything and you will find mathematics." ~Dean Schlicter
Re: Largest value of $n$
I didn't understand the sign $||$ here, because it is used to mean:If $p^a||n$,then $p^{a+1}$ does not divide $n$
However,it was a problem from AIME may be and simialr to my post"find the largest $x$'
$n+10|n^3+10$ and $n^3+100$,then $n+10|990,n_{max}=980$
However,it was a problem from AIME may be and simialr to my post"find the largest $x$'
$n+10|n^3+10$ and $n^3+100$,then $n+10|990,n_{max}=980$
One one thing is neutral in the universe, that is $0$.
Re: Largest value of $n$
That was a typo. Sorry!
"Go down deep enough into anything and you will find mathematics." ~Dean Schlicter
Re: Largest value of $n$
Solu ta ki?
A man is not finished when he's defeated, he's finished when he quits.
Re: Largest value of $n$
a nice problem!Zzzz wrote:Find the largest value of $n$ such that $n^3+10$ is divisible by $n+10$.
A man is not finished when he's defeated, he's finished when he quits.