Timeline for multiplicative order of 2 mod p^N
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 12, 2012 at 20:05 | comment | added | Greg Martin | Just wanted to point out that the following is an equivalent formulation: Does there exist a positive integer $N$ such that there does not exist a prime $p$ for which $p^N$ divides $2^{p-1}-1$? (Or, is it possible that for all $N\ge1$, there exists a prime $p$ such that $p^N \mid (2^{p-1}-1)$?) | |
| Nov 12, 2012 at 18:14 | vote | accept | Oliver Kayende | ||
| Nov 12, 2012 at 14:52 | comment | added | fedja | Since only two Wieferich primes are known, there is hardly any chance anyone will be able to say "No". It is a bit harder to quote something equally convincing to demonstrate that the probability of a qualified "Yes" answer is also $0$, but rest assured that if the graduate student in question can figure it out, he'll have no problems with competition either for priority or on the job market. In other words, we are here to tell you what we know, not to do the impossible. You have to accomplish the latter by yourself. :) | |
| Nov 12, 2012 at 13:37 | answer | added | Felipe Voloch | timeline score: 1 | |
| Nov 12, 2012 at 13:13 | history | asked | Oliver Kayende | CC BY-SA 3.0 |