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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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionPuzzle SolutionK Sengupta2022-09-04 23:41:04
SolutionSolutionMath Man2011-08-22 10:57:10
1 less than a perfect squareanil2004-04-06 19:28:35
looking in the mirror, yo yoPenny2004-03-23 11:17:15
Not a cubeNick Hobson2004-02-29 11:00:33
part of solutionred_sox_fan_0320032004-02-27 12:35:23
not a squarered_sox_fan_0320032004-02-25 17:42:49
think in terms of factorstan2004-02-25 02:36:55
re: I think i have one, oh no i haven'tJuggler2004-02-24 19:30:00
Some ThoughtsI think i have oneJuggler2004-02-24 19:22:44
re: Not a squareSilverKnight2004-02-24 15:46:53
Solution (?)Brian Smith2004-02-24 15:36:24
Hints/TipsNot a squareFederico Kereki2004-02-24 15:20:46
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