perplexus.info :: Numbers : Looking for n

Looking for n (Posted on 2004-02-24)

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
Puzzle Solution	K Sengupta	2022-09-04 23:41:04
Solution	Math Man	2011-08-22 10:57:10
1 less than a perfect square	anil	2004-04-06 19:28:35
looking in the mirror, yo yo	Penny	2004-03-23 11:17:15
Not a cube	Nick Hobson	2004-02-29 11:00:33
part of solution	red_sox_fan_032003	2004-02-27 12:35:23
not a square	red_sox_fan_032003	2004-02-25 17:42:49
think in terms of factors	tan	2004-02-25 02:36:55
re: I think i have one, oh no i haven't	Juggler	2004-02-24 19:30:00
I think i have one	Juggler	2004-02-24 19:22:44
re: Not a square	SilverKnight	2004-02-24 15:46:53
Solution (?)	Brian Smith	2004-02-24 15:36:24
Not a square	Federico Kereki	2004-02-24 15:20:46

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