A Character Study
Identifieur interne : 000609 ( Main/Exploration ); précédent : 000608; suivant : 000610A Character Study
Auteurs : W. A. Coppel [Australie]Source :
- Universitext ; 2009.
Abstract
Abstract: Let a and m be integers with $$1 \leq a < m$$ . If a and m have a common divisor d > 1, then no term after the first of the arithmetic progression (*) $$a, a + m, a + 2m,\ldots$$ is a prime. Legendre (1788) conjectured, and later (1808) attempted a proof, that if a and m are relatively prime, then the arithmetic progression (*) contains infinitely many primes.
Url:
DOI: 10.1007/978-0-387-89486-7_10
Affiliations:
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