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Remove last three to get cube root (Posted on 2014-02-11) Difficulty: 3 of 5
Let n be a positive integer. By removing the last three digits of n, one gets the cube root of n. Find a possible value of n.

No Solution Yet Submitted by Danish Ahmed Khan    
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Solution cell phone solution | Comment 2 of 3 |

The first time I've written and run a solution program on my cellphone instead of computer (Mintoris Basic):

for cr=2 to 9999
  n=cr*cr*cr
  ns$="   "+str$(n)
  if val(left$(ns$,len(ns$)-3))=cr then print n,cr
next

32768 truncated gives 32 and 32^3 = 32768.

The upper limit of 9999 for the cube root is overkill, as a 12-digit cube having 3 of its digits taken away is still much larger than its cube root, and this holds more so for larger numbers still.


  Posted by Charlie on 2014-02-11 11:11:21
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