Identifying the PRIMES (P) from the NO-PRIMES (NP) from the pool of ODD numbers is a matter of separation, as one defines the other.
Amongst a list of all the ODD numbers (≥3), one may reveal ALL the PRIMES (P) simply be identifying ALL the NO-PRIMES (NP).
Two new methods:
1.) algebraic and
2.) algebraic geometry — identify ALL the NP from any list of sequential ODD numbers.