# Difference between revisions of "1989 AIME Problems/Problem 4"

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== Problem == | == Problem == | ||

+ | If <math>a<b<c<d<e^{}_{}</math> are consecutive positive integers such that <math>b+c+d^{}_{}</math> is a perfect square and <math>a+b+c+d+e^{}_{}</math> is a perfect cube, what is the smallest possible value of <math>c^{}_{}</math>? | ||

== Solution == | == Solution == | ||

+ | {{solution}} | ||

== See also == | == See also == | ||

+ | * [[1989 AIME Problems/Problem 5|Next Problem]] | ||

+ | * [[1989 AIME Problems/Problem 3|Previous Problem]] | ||

* [[1989 AIME Problems]] | * [[1989 AIME Problems]] |

## Revision as of 22:56, 24 February 2007

## Problem

If are consecutive positive integers such that is a perfect square and is a perfect cube, what is the smallest possible value of ?

## Solution

*This problem needs a solution. If you have a solution for it, please help us out by adding it.*