galois.kth_prime

galois.kth_prime(k: int) → int

Returns the $k$ -th prime, where $k = {1, 2, 3, 4, \dots}$ for primes $p = {2, 3, 5, 7, \dots}$ .

Parameters:¶

k: int¶: The prime index (1-indexed).

Returns:¶

The $k$ -th prime.

See also

primes, prev_prime, next_prime

Examples¶

In [1]: galois.kth_prime(1)
Out[1]: 2

In [2]: galois.kth_prime(2)
Out[2]: 3

In [3]: galois.kth_prime(3)
Out[3]: 5

In [4]: galois.kth_prime(1000)
Out[4]: 7919