Carmichael numbers composed of primes from a Beatty sequence
William D. Banks ; Aaron M. Yeager
Colloquium Mathematicae, Tome 122 (2011), p. 129-137 / Harvested from The Polish Digital Mathematics Library
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Let α,β ∈ ℝ be fixed with α > 1, and suppose that α is irrational and of finite type. We show that there are infinitely many Carmichael numbers composed solely of primes from the non-homogeneous Beatty sequence ℬα,β=(⌊αn+β⌋)n=1∞. We conjecture that the same result holds true when α is an irrational number of infinite type.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:284092 
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William D. Banks; Aaron M. Yeager. Carmichael numbers composed of primes from a Beatty sequence. Colloquium Mathematicae, Tome 122 (2011) pp. 129-137. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-1-9/