galois.next_prime(n: int) → int

Returns the nearest prime \(p\), such that \(p > n\).

Parameters:
n: int

An integer.

Returns:

The nearest prime \(p > n\).

See also

primes, kth_prime, prev_prime

Examples

In [1]: galois.next_prime(13)
Out[1]: 17

In [2]: galois.next_prime(15)
Out[2]: 17

In [3]: galois.next_prime(6852976918500265458318414454675831645298)
Out[3]: 6852976918500265458318414454675831645343