+0  
 
0
286
4
avatar

23 = 23 + 23 + 13 + 13 + 13 + 13 + 13 + 13 + 13

Only one other integer requires nine cubes of positive integers to represent its value as a sum of cubes. This other integer is between 200 and 300. Can you find it?

Guest May 31, 2015

Best Answer 

 #4
avatar+18712 
+5

Only one other integer requires nine cubes of positive integers to represent its value as a sum of cubes. This other integer is between 200 and 300. Can you find it ?

$$239=5^3+3^3+3^3+3^3 +2^3+2^3+2^3+2^3+1^3$$

heureka  Jun 8, 2015
Sort: 

4+0 Answers

 #1
avatar+91001 
+5

Well

$$\\5^3=125\\
so\\
257=5^3+5^3+1^3+1^3+1^3+1^3+1^3+1^3+1^3\\$$

 

Maybe there is a way to get 257 by adding less cubes   

 

Edited

Melody  May 31, 2015
 #2
avatar
+5

Isn't that 257 ?

Guest Jun 1, 2015
 #3
avatar+91001 
0

Sure looks like it.   Thanks anon :)

Melody  Jun 2, 2015
 #4
avatar+18712 
+5
Best Answer

Only one other integer requires nine cubes of positive integers to represent its value as a sum of cubes. This other integer is between 200 and 300. Can you find it ?

$$239=5^3+3^3+3^3+3^3 +2^3+2^3+2^3+2^3+1^3$$

heureka  Jun 8, 2015

14 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details