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wu :: forums    riddles    medium (Moderators: ThudnBlunder, Eigenray, Icarus, william wu, Grimbal, towr, SMQ)    No n-th power « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: No n-th power  (Read 294 times) pcbouhid Uberpuzzler     Gender: Posts: 647 No n-th power   « on: Jan 25th, 2006, 5:12am » Quote Modify Show that the product of three consecutive positive integers cannot be the n-th power of an integer, for any integer n>1. IP Logged Don´t follow me, I´m lost too. fatball Senior Riddler Can anyone help me think outside the box please?     Gender: Posts: 315 Re: No n-th power   « Reply #1 on: Jan 25th, 2006, 12:54pm » Quote Modify The generalization of this question is that the product of n (>1) consecutive positive integers cannot be a perfect power. « Last Edit: Jan 25th, 2006, 12:54pm by fatball » IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy => medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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