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FACTORS OF CARMICHAEL NUMBERS AND A WEAK $k$ -TUPLES CONJECTURE

  • THOMAS WRIGHT (a1)
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 $R$ .

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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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