Abstract
We say that k is a P -integer if the first φ(k) primes coprime to k form a reduced residue system modulo k. In 1980 Pomerance proved the finiteness of the set of P -integers and conjectured that 30 is the largest P -integer. We prove the conjecture assuming the Riemann Hypothesis. We further prove that there is no P -integer between 30 and 10 and above 10.
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