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You are not logged in. #1 20070203 10:10:45
Consecutive squaresFind 4 consecutive integers such that each one is divisible by a square. No computer algorithms allowed, although a 4 function calculator may be used to increase the speed of calculations. 1 is not considered a square for this puzzle. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #2 20070203 11:09:55
Re: Consecutive squaresWhat constitutes an algorithm? Does using Excel to help count? I'll just give a instead of answering in case I've cheated.Edit: Sorry, I got the hint wrong. I was thinking of the number 100 higher than the number I wanted. It is still divisible by a cube though. Why did the vector cross the road? It wanted to be normal. #3 20070203 13:53:28
Re: Consecutive squaresYes, excel is just one big algorithm, let alone how it lets you create your own algorithms. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #4 20070203 14:45:35
Re: Consecutive squaresTrial and error at the moment xD, god those numbers must be enormous. #5 20070203 15:32:39
Re: Consecutive squaresBrute force might take you a while, write some ideas on what you can say about numbers with this property down on paper, and maybe some ideas will come to you. #6 20070203 18:19:24
Re: Consecutive squaresI guess the real question is how did you come up with such solutions, Zhylliolom? "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #7 20070301 23:44:14
Re: Consecutive squaresYes, I wonder what his idea was. Last edited by George,Y (20070301 23:44:31) X'(yXβ)=0 