Difference between revisions of "Mock AIME 5 2005-2006 Problems/Problem 10"

m (Created page with "== Problem == == Solution == == See also == {{Mock AIME box|year=2005-2006|n=5|source=76847|num-b=9|num-a=11}} Category:Intermediate Number Theory Problems")
 
m (Problem)
Line 1: Line 1:
 
== Problem ==
 
== Problem ==
 +
 +
Find the smallest positive integer <math>n</math> such that <math>{2n \choose n}</math> is divisible by all the primes between <math>10</math> and <math>30</math>.
 +
 +
== Solution ==
  
 
== Solution ==
 
== Solution ==

Revision as of 21:19, 8 October 2014

Problem

Find the smallest positive integer $n$ such that ${2n \choose n}$ is divisible by all the primes between $10$ and $30$.

Solution

Solution

See also

Mock AIME 5 2005-2006 (Problems, Source)
Preceded by
Problem 9
Followed by
Problem 11
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15