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   Author  Topic: sum of squares  (Read 1487 times)
Christine
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sum of squares  
« on: Dec 25th, 2012, 1:10pm »		 Quote Quote Modify Modify
(72, 73, 74)
 
72 = 6^2 + 6^2
73 = 3^2 + 8^2
74 = 5^2 + 7^2
 
How to prove that we cannot find more than 3 consecutive integers expressible as a sum of two squares only?
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peoplepower
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Re: sum of squares  
« Reply #1 on: Dec 25th, 2012, 3:05pm »		 Quote Quote Modify Modify
Looking at the possible congruence classes mod 4 for the sum of two squares, we see that the class corresponding to -1 is not possible.
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Technologeek
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Re: sum of squares  
« Reply #2 on: Jan 30th, 2013, 9:43am »		 Quote Quote Modify Modify
Are you waiting for a mathematical proof?
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Against Wikipedia totalitarism - Proofs Wiki: The Mean value theorem proof and
Fundamental theorem of calculus
Christine
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Re: sum of squares  
« Reply #3 on: Jan 30th, 2013, 10:12am »		 Quote Quote Modify Modify
on Jan 30th, 2013, 9:43am, atyq wrote:
Are you waiting for a mathematical proof?

 
No. I managed to figure it out.
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