Timeline for Sequences that "capture their primes"
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Jan 4, 2017 at 4:01 | comment | added | KConrad | Your function $u(x)$ seems to have no properties other than tending to $\infty$, so the relation $N(Y,F,x) \sim u(x)$ seems to have no serious content. You could just define $u(x) = N(Y,F,x)$, so as long as $N(Y,F,x) \rightarrow \infty$ as $x \rightarrow \infty$ the asymptotic relation holds. Thus "capturing primes" seems to be an overly complicated way of saying $N(Y,F,x) \rightarrow \infty$ as $x \rightarrow \infty$. As Clara Peller once asked, where's the beef? | |
| Jan 4, 2017 at 3:34 | comment | added | Anthony Quas | I'm having a hard time parsing the quantifiers in your definition of capturing primes. On the one hand, $x$ appears to be a free variable; one the other it is a dummy variable in the same definition (unless I'm missing something). | |
| Jan 4, 2017 at 2:11 | history | asked | Stanley Yao Xiao | CC BY-SA 3.0 |