The primerange project is an attempt to generate 'mostly' primes for numbers having 10->20 decimal digits, by using algebraic and non-algebraic techniques.

Its usefulness for much larger numbers, has not currently been tested, and it is expected, that the phrase 'mostly' would not apply in the case that huge integers are generated.

Utilise 'free software' computerised algebra systems Sage, and Python, and C, and GNU gmp library to provide scripts.