|
8 | deleted 3 characters in body; added 24 characters in body | ||
|
If $f(n)$ is a strictly increasing elementary function from the integers reals to the reals, and $p(n)$ is the $n$'th prime number. Is there any $f(n)$ such that $\sum_{n=1}^\infty\frac{1}{f(p(n))}$ is algebraic, or has a closed form expression in terms of elementary functions? If not, can we prove itthe sum to be transcendental? |
||||
|
|
7 | added 65 characters in body | ||
|
If $f(n)$ is a strictly increasing elementary function from the integers to the reals, and $p(n)$ is the $n$'th prime number. Is there any $f(n)$ such that $\sum_{n=1}^\infty\frac{1}{f(p(n))}$ is algebraic, or has a closed form expression in terms of elementary functions? If not, can we prove it? |
||||
|
Post Closed as "no longer relevant" by David Loeffler, Felipe Voloch, Gerry Myerson, Kevin O'Bryant, S. Carnahan♦
|
||||
|
|
||||
|
6 | added 95 characters in body; edited title; deleted 3 characters in body | ||
|
|
5 |
edited title
|
||
|
|
4 |
removed fa tag
|
||
|
|
3 |
edited tags; edited tags
|
||
|
|
2 |
edited tags
|
||
|
|
1 |
|
||
