How many positive integers n exist for which n2 has the same number of digits as n3?

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manavprakash2007

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How many positive integers n exist for which n2 has the same number of digits as n3?
Im really stuck with this question and my son has to answer it for his homework so it will help to give the answer and explanation
Thanks
My son is only in grade 6 and they have not taught him this
 
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