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| bio | website | |
|---|---|---|
| location | ||
| age | ||
| visits | member for | 5 months |
| seen | May 13 at 13:34 | |
| stats | profile views | 4 |
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Dec 6 |
answered | Prove that $e^x\ge x+1$ for all real $x$ |
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Dec 1 |
comment |
Integer solutions to $\sqrt{a} + \sqrt{b} = \sqrt{c}$ Obviously this is overkill, I included it because the same method allows you to write down all pythagorean triples or all (a^2, b^2, c^2) in arithmetic progression. |
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Dec 1 |
answered | Integer solutions to $\sqrt{a} + \sqrt{b} = \sqrt{c}$ |
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Nov 27 |
awarded | Teacher |
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Nov 27 |
comment |
Are there infinitely many pairs of rational numbers such that… I chose 7 because this was the smallest square-free positive integer for which both curves have positive rank. If you don't care that $a$ and $b$ vary, you could take $b=0$ and look at the curve $2r^2=a^3+1$, which has infinitely many rational points. |
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Nov 27 |
answered | Are there infinitely many pairs of rational numbers such that… |
