Timeline for A question related to Dirichlet's theorem
Current License: CC BY-SA 3.0
3 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Apr 2, 2018 at 5:15 | comment | added | Shalom | @Haran Of course, I do not know how to prove that right hand side is irrational, but I would bet that it is because numerators contain all primes increased by 1 and then taken to the power of an index of a prime and divided by some number taken to the same power, if that were to be written in the form of a decimal expansion I do not believe that all would sum up to a rational number. I just do not know enough about laws that govern decimal expansions of primes taken to some power and divided by the same power of some number to turn this into a proof. | |
Apr 1, 2018 at 1:42 | comment | added | Haran | The idea looks really good but I am not sure whether the right hand side is irrational. Could you explain at least your intuition on why you expect it to be irrational? | |
Mar 31, 2018 at 19:21 | history | answered | Shalom | CC BY-SA 3.0 |