Assuming that the first n primes are known the author gives a formula for calculating \(p_{n+1}\), the \((n+1)st\) prime. Formulas are also given for the smallest twin prime (if any) in the interval \((p_ n,p^ 2_ n)\) and for both the number of primes and twin primes not exceeding x if x is between \(p_ n\) and \(p^ 2_ n\). Neither detailed proofs nor examples are given, and the numerical cases tried by the reviewer did not work (perhaps because of his uncertainty as to the range of values of ''b'').