The number of Positive Primitive Pythagorean Triples under 100 is 16.But what is the number of Positive Primitive Pythagorean Triples under 10000!.Can we derive a fomula?
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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
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@Pi Han Goh @Jon Haussmann @Brian Charlesworth @Brandon Monsen @Sharky Kesa @Otto Bretscher any help
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What do you mean by "under 100"?
What have you tried?
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By under 100 I mean the positive integers less than 100.
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Hint 1: Find the parametrization of these 3 integers.
Hint 2: Let (a,b,c) be these 3 integers such that a<b<c. Prove that the parities of a and b are distinct.
Hint 3: How can we find the number of unordered positive integers (m,n) such that m2+n2<100?
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100000!
Thanks but to start we have to first find three integers less thanLog in to reply
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Do you know how to systematically construct Pythagoras triplets?
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