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Looking for n (Posted on 2004-02-24) Difficulty: 3 of 5
Let n be the smallest positive integer such that n(n+1)(n+2)(n+3) can be expressed as either a perfect square or a perfect cube (not necessarily both).

Find n, or prove that this is not possible.

See The Solution Submitted by Aaron    
Rating: 4.2857 (7 votes)

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Some Thoughts I think i have one | Comment 4 of 13 |

Let n=3182,

given n the following equation would be

sqrt(3182*3183*3184*3185)=sqrt(102711556278240)=10134671

the above has been done with microsoft excel so if the maths is wrong, dont blame me!

Edited on February 24, 2004, 7:25 pm
  Posted by Juggler on 2004-02-24 19:22:44

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