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Unconditional Prime-Representing Functions, Following Mills

Unconditional Prime-Representing Functions, Following Mills

Mills proved that there exists a real constant A > 1 such that for all n∈N the values ⌊A3n⌋ are prime numbers. No explicit value of A is known, but assuming the Riemann hypothesis one can choose A=1.3063778838…. Here we give a first unconditional variant: ⌊A1010n⌋ is prime, where A=1.00536773279814724017… …