Let ' denote the Euler ' function. We prove that for all n s 2 there exist infinitely many Sierpinski numbers k such that 2nk = '(N) holds with some positive integer N that has exactly s distinct prime factors. This extends previous work of the last two authors.
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机译:让'表示欧拉的功能。我们证明,对于所有N S 2,存在无限的Sierpinski数字K,使得2NK ='(n)持有一些具有完全不同的素质因素的正整数N。这延长了最后两位作者的先前工作。
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