Difference between revisions of "1995 AIME Problems/Problem 6"
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Let <math>\displaystyle n=2^{31}3^{19}.</math> How many positive integer divisors of <math>\displaystyle n^2</math> are less than <math>\displaystyle n_{}</math> but do not divide <math>\displaystyle n_{}</math>? | Let <math>\displaystyle n=2^{31}3^{19}.</math> How many positive integer divisors of <math>\displaystyle n^2</math> are less than <math>\displaystyle n_{}</math> but do not divide <math>\displaystyle n_{}</math>? | ||
| − | == Solution ==== See also == | + | == Solution == |
| + | == See also == | ||
* [[1995 AIME Problems/Problem 5 | Previous problem]] | * [[1995 AIME Problems/Problem 5 | Previous problem]] | ||
* [[1995 AIME Problems/Problem 7 | Next problem]] | * [[1995 AIME Problems/Problem 7 | Next problem]] | ||
* [[1995 AIME Problems]] | * [[1995 AIME Problems]] | ||
Revision as of 00:12, 22 January 2007
Problem
Let 
How many positive integer divisors of 
are less than 
but do not divide ?
