Timeline for A cubic equation, and integers of the form $a^2+32b^2$
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 17, 2023 at 20:51 | comment | added | Will Jagy | @BogdanGrechuk I was a bit careless. | |
| Dec 17, 2023 at 20:31 | history | edited | Will Jagy | CC BY-SA 4.0 |
added 19 characters in body
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| Dec 17, 2023 at 20:10 | comment | added | Bogdan Grechuk | You write that the case when $x^4-32x-16$ is divisible by some primes equal to $7$ modulo $8$ is ruled out. Why? Such primes can be common factors of $s$ and $z$.... | |
| Dec 7, 2023 at 2:32 | comment | added | Will Jagy | @Fedor right. Can't prove it yet. I just wrote a little program to check odd $x$ up to some bound. | |
| Dec 7, 2023 at 2:23 | comment | added | Fedor Petrov | it appears that $x^4 - 32 x - 16$ has always an odd number of prime factors of shape $4 u^2 + 4uv + 9 v^2$ - why? | |
| Dec 6, 2023 at 20:13 | history | answered | Will Jagy | CC BY-SA 4.0 |