Timeline for Is it true that there always exists a positive integer $n$ such that $p \mid \lfloor k^n\cdot\alpha\rfloor$?
Current License: CC BY-SA 4.0
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Jun 2, 2019 at 14:05 | comment | added | GH from MO | I only considered the second orange box in your post, because this was introduced by "so my question is". Please only ask one question in each MO post. That is, open a new MO post for this other question. | |
Jun 2, 2019 at 7:47 | comment | added | apple | Thank you for your answer. However,if M is not a prime number, will there exist a positive irrational number $\alpha$ such that $gcd(\lfloor \alpha \cdot k^n \rfloor , M)=1$ for every positive integer $n$ ? | |
Jun 1, 2019 at 17:38 | vote | accept | apple | ||
Jun 1, 2019 at 16:48 | history | answered | GH from MO | CC BY-SA 4.0 |