Timeline for Primes dividing x^4 -2
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| May 9, 2014 at 12:36 | comment | added | user19475 | If $f(x_i) \equiv 0 \pmod{p_i}$ for finitely many $(p_i)_{i=1}^n$, $f(k\cdot\prod_{i=1}^np_i)$ cannot be divisible by any of the $p_i$. | |
| May 8, 2014 at 14:14 | comment | added | user50519 | I didn't understand. Could you be a little more clear, please? | |
| May 8, 2014 at 13:51 | comment | added | user19475 | Reduce to $f$ having constant coefficient $1$ and consider $k\prod_{i=1}^np_i$. | |
| May 8, 2014 at 13:20 | comment | added | user50553 | Might you give me some lights for such an elementary argument? I can find one for proving the existence of infintely many primes $p\equiv_{4}3$ dividing some $x^4-2$, but I can't find one for primes $p\equiv_{4}1$. | |
| May 8, 2014 at 11:22 | history | edited | user19475 | CC BY-SA 3.0 |
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| May 8, 2014 at 11:12 | history | edited | user19475 | CC BY-SA 3.0 |
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| May 8, 2014 at 10:29 | history | edited | user19475 | CC BY-SA 3.0 |
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| May 8, 2014 at 10:24 | history | answered | user19475 | CC BY-SA 3.0 |