Recurrence Formula for Prime Numbers

Open Question

Is there a recurrence relation that can be used to calculate the $n + 1$th prime number from the $n$th prime number?

Sources

• 1979: G.H. Hardy and E.M. Wright: An Introduction to the Theory of Numbers (5th ed.) ... (previous) ... (next): $\text I$: The Series of Primes: $1.5$ Some questions concerning primes: $(2)$