Question

If we have the following sequence, find the n-th term
2,3,5,7,11,13,...

Answer 1

this is the sequence of prime numbers. you can use lagrange interpolation though, if not necessarily prime numbers

Answer 2

yup, can I say that the n-th prime is bounded?

Answer 3

There is no closed form for primes.

Answer 4

where a,b are arbitrary constants

Answer 5

\[anlogn \le p _{n} \le bnlogn\]

Answer 6

no, this is not a sequence generator.

Answer 7

where
\[n \in N, n \ge 2\]