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You are not logged in. #1 20120411 18:21:03
Perfect SquaresConsider an integer x. If we add 30, then the result is a perfect square. If we subtract 30, the result is also a perfect square. How many such integers are there?" #2 20120411 18:54:19
Re: Perfect SquaresHi anna The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #3 20120411 20:50:16
Re: Perfect SquaresHi all; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #4 20120412 10:10:25
Re: Perfect SquaresHi bobby The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #5 20120412 11:45:13
Re: Perfect Squares
"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #6 20120412 11:45:52
Re: Perfect Squares
That is true, but only one more? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #7 20120412 11:50:06
Re: Perfect SquaresYes only one. Look at phro's answer. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #8 20120412 12:01:48
Re: Perfect SquaresHow about one past where he looked? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9 20120412 12:04:36
Re: Perfect SquaresWhat? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #10 20120412 17:43:10
Re: Perfect SquaresHe must have searched up to some number. That was the limit of his search. Can you provide a reason why there is not a number passed his search? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #11 20120412 18:18:48
Re: Perfect SquaresYes I can. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #12 20120412 18:29:32
Re: Perfect SquaresWhen you have the time please post your proof. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #13 20120412 19:07:49
Re: Perfect SquaresHi Bobby, The numbers that are squared (I don't know what they're called) to produce the perfect squares must differ by at least 1. EDIT: The column E heading should be "If Col D = integer, print B + 30". Last edited by phrontister (20120412 19:20:13) "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #14 20120412 19:36:54
Re: Perfect SquaresAnd I did it nonexperimentally! The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #15 20120412 19:39:11
Re: Perfect Squares
I did it diferent again:D Last edited by wintersolstice (20120412 19:44:11) Why did the chicken cross the Mobius Band? To get to the other ...um...!!! #16 20120412 20:21:47
Re: Perfect SquaresHi anonimnystefy, "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #17 20120417 01:48:38
Re: Perfect SquaresHere is my solution: It is based to the fact that each perfect square N^2 is the sum of the first N odd numbers (5^2 = 25 = 1+3+5+7+9). #18 20120417 01:59:35
Re: Perfect Squares
Have you seen my proof? It's very similar in that it's based on consecutive odd numbers. Why did the chicken cross the Mobius Band? To get to the other ...um...!!! 