Problem 9:
$p$ is a prime and sum of the numbers from $1$ to $p$ is divisible by all primes less or equal to $p$. Find the value of $p$ with proof.
BdMO National Junior 2011/9
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
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Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
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Thanic Nur Samin
- Posts:176
- Joined:Sun Dec 01, 2013 11:02 am
Re: BdMO National Junior 2011/9
The greatest one or the smallest one?
Hammer with tact.
Because destroying everything mindlessly isn't cool enough.
Because destroying everything mindlessly isn't cool enough.
Re: BdMO National Junior 2011/9
Please give the solution
"Questions we can't answer are far better than answers we can't question"
Re: BdMO National Junior 2011/9
The only prime $p$ possible is $3$. I proved that there cannot be any other $p$ more than $3$ using $Bertrand's $ $postulate$.
The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.
- Charles Caleb Colton
- Charles Caleb Colton