Find p

For students of class 9-10 (age 14-16)
Naheed
Posts:20
Joined:Sun Dec 16, 2012 11:10 pm
Find p

Unread post by Naheed » Thu Jan 28, 2016 12:43 pm

$p$ is a prime number. Summation of all the integers from $1$ to $p$ is divisible by $p$ and other prime numbers less than $p$. Find the values of $p$.
Last edited by SANZEED on Thu Jan 28, 2016 11:31 pm, edited 1 time in total.
Reason: LaTex. Please use LaTex while writing your posts. You can find instructions and tutorials here: http://matholympiad.org.bd/forum/viewtopic.php?f=25&t=2

User avatar
Kazi_Zareer
Posts:86
Joined:Thu Aug 20, 2015 7:11 pm
Location:Malibagh,Dhaka-1217

Re: Find p

Unread post by Kazi_Zareer » Mon Feb 15, 2016 7:03 pm

$p$ has the only solution 3.
Hint:Bertrand's postulate... Check this: https://en.wikipedia.org/wiki/Bertrand%27s_postulate
We cannot solve our problems with the same thinking we used when we create them.

Post Reply