Abstract
Mills proved that there exists a real constant A > 1 such that for all (Formula presented.) the values (Formula presented.) are prime numbers. No explicit value of A is known, but assuming the Riemann hypothesis one can choose (Formula presented.) Here we give a first unconditional variant: (Formula presented.) is prime, where (Formula presented.) can be computed to millions of digits. Similarly, (Formula presented.) is prime, with (Formula presented.).
Originalsprache | englisch |
---|---|
Seiten (von - bis) | 639-642 |
Seitenumfang | 4 |
Fachzeitschrift | The American Mathematical Monthly |
Jahrgang | 127 |
Ausgabenummer | 7 |
DOIs | |
Publikationsstatus | Veröffentlicht - 8 Aug. 2020 |
Schlagwörter
- prime numbers
ASJC Scopus subject areas
- Mathematik (insg.)
Fields of Expertise
- Information, Communication & Computing
Treatment code (Nähere Zuordnung)
- Basic - Fundamental (Grundlagenforschung)