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avatar+188 

How many integers in the list $25,$ $26,$ $27,$ $\dots,$ $250$ are not perfect cubes?

 Sep 8, 2020
 #1
avatar+27001 
+1

25 thru 250 = 226 numbers

perfect cubes   27  64  125  216           222 are not perfect cubes         *** edited***   (oops!)

 Sep 8, 2020
edited by ElectricPavlov  Sep 8, 2020
 #2
avatar+126 
+1

do you mean 222?

 #4
avatar+110831 
+1

Yes, EP means 222, and you mean 'thanks'  :)

Melody  Sep 8, 2020
 #3
avatar+110831 
+1

250-25+1=226 numbers in total

 

25^(1/3) = 2.924017738212866

250^(1/3) = 6.299605249474365

 

so only 3cubed, 4 cubed, 5 cubed and 6 cubed will be perfect cubes.   There is 4 of them

 

You can finish it.  

 Sep 8, 2020

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