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FACTORS OF CARMICHAEL NUMBERS AND A WEAK
$k$-TUPLES CONJECTURE
Published online by Cambridge University Press: 17 November 2015
Abstract
In light of the recent work by Maynard and Tao on the Dickson $k$-tuples conjecture, we show that with a small improvement in the known bounds for this conjecture, we would be able to prove that for some fixed
$R$, there are infinitely many Carmichael numbers with exactly
$R$ factors for some fixed
$R$. In fact, we show that there are infinitely many such
$R$.
MSC classification
- Type
- Research Article
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- © 2015 Australian Mathematical Publishing Association Inc.
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