Timeline for On finding all the positive integral solutions of $x^2+y^2=z^2+1$
Current License: CC BY-SA 3.0
5 events
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| May 5, 2015 at 15:34 | history | edited | djp | CC BY-SA 3.0 |
added 771 characters in body
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| May 5, 2015 at 15:16 | comment | added | Michael Seifert |
Note that @2012rcampion has a use of FindInstance above that does find non-trivial solutions. Not sure why theirs doesn't work and yours doesn't, though.
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| May 5, 2015 at 15:16 | comment | added | Michael E2 | Nice, Diophantus' solution to his problem Book II, 9, is $10^2+15^2 =18^2 + 1$. (His problem is to solve $x^2+y^2 = z^2+a^2$ and his method does not always yield $a=1$) | |
| May 5, 2015 at 15:04 | comment | added | LLlAMnYP | I've no idea, how I came to this, but as you're obviously right, I'll take down my answer. | |
| May 5, 2015 at 14:56 | history | answered | djp | CC BY-SA 3.0 |