A function that maps a value to a large prime

Question

I'd like to ask whether there is any function that maps a value to a large prime in deterministic way, so this function always maps the same value to the same large prime.

The large prime here means given only the product of two large primes, one cannot factorize it to the original large primes.

Thanks

Answer 1

Wolfram Alpha has the function prime[n], which gives the nth prime. Many articles use $p_n$ for the same. If you take $n$ large, the prime is large.