Tags
Prizes
More
FAQ
Problem Lists
Definitions
Links
How to help
Go
Go
All
Random Solved
Random Open
OPEN
Let $q_1<q_2<\cdots$ be a sequence of primes such that \[q_{n+1}-q_n\geq q_n-q_{n-1}.\] Must \[\lim_n \frac{q_n}{n^2}=\infty?\]
#455
:
[ErGr80]
number theory
Richter
[Ri76]
proved that \[\liminf_n \frac{q_n}{n^2}>2.84\cdots.\]
Previous
Next