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wu :: forums    riddles    medium (Moderators: william wu, Icarus, towr, Eigenray, ThudnBlunder, SMQ, Grimbal)    Proof (?) of Fermat's Last Theorem « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Proof (?) of Fermat's Last Theorem  (Read 676 times) cool_joh Guest Proof (?) of Fermat's Last Theorem   « on: Dec 19th, 2007, 7:39pm » Quote Modify Remove an+bn=cn an-0n=cn-bn   n=3, sequence of power: 0, 1, 8, 27, 64, 125 n=4, seq: 0, 1, 16, 81, 256... and so on.   Note that the difference goes larger as the sequence goes higher. So it's impossible that there are two pairs of terms which has the same differences.   Sorry about my poor English, I hope you understand.   But, I doubt that this really prove the theorem. Can anyone find any mistakes?   ---inspired by nick IP Logged Obob Senior Riddler     Gender: Posts: 489 Re: Proof (?) of Fermat's Last Theorem   « Reply #1 on: Dec 19th, 2007, 9:33pm » Quote Modify The logic just plain doesn't work, is what the error is.  By the exact same argument, a2+b2=c2 shouldn't have any solutions either, which is absurd.   There is no obvious reason why the difference of two terms in the n=4 sequence shouldn't again be in the n=4 sequence, for instance. IP Logged Hippo Uberpuzzler     Gender: Posts: 919 Re: Proof (?) of Fermat's Last Theorem   « Reply #2 on: Dec 20th, 2007, 4:17am » Quote Modify on Dec 19th, 2007, 7:39pm, cool_joh wrote: an+bn=cn an-0n=cn-bn   n=3, sequence of power: 0, 1, 8, 27, 64, 125 n=4, seq: 0, 1, 16, 81, 256... and so on.   Note that the difference goes larger as the sequence goes higher. So it's impossible that there are two pairs of terms which has the same differences.   Sorry about my poor English, I hope you understand.   But, I doubt that this really prove the theorem. Can anyone find any mistakes?   ---inspired by nick   Noone talks about differences of neighbouring members. ... IP Logged SMQ wu::riddles Moderator Uberpuzzler     Gender: Posts: 2084 Re: Proof (?) of Fermat's Last Theorem   « Reply #3 on: Dec 20th, 2007, 5:42am » Quote Modify on Dec 19th, 2007, 7:39pm, cool_joh wrote: Note that the difference goes larger as the sequence goes higher. So it's impossible that there are two pairs of terms which has the same differences. But that's just as true of the sequence of squares: 0, 1, 4, 9, 16, 25, ...  yet 9 + 16 = 25 (and those are even adjacent terms!).   --SMQ IP Logged --SMQ Grimbal wu::riddles Moderator Uberpuzzler     Gender: Posts: 7527 Re: Proof (?) of Fermat's Last Theorem   « Reply #4 on: Dec 20th, 2007, 6:35am » Quote Modify It also happens that  123-93 = 103-13 IP Logged FiBsTeR Senior Riddler     Gender: Posts: 581 Re: Proof (?) of Fermat's Last Theorem   « Reply #5 on: Dec 20th, 2007, 5:11pm » Quote Modify on Dec 20th, 2007, 6:35am, Grimbal wrote: It also happens that  123-93 = 103-13   Dr. Taxicab would be proud.   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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