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- W2964291805 abstract "† Department of Mathematics, Northwest University, Xi’an, Shaanxi, P.R.China ‡ Yangling Vocational And Technical College, Yangling, Shaanxi, P.R.China Abstract For any fixed positive integer k ≥ 2, the power k sieve is defined as following: Starting to count on the natural numbers set at any step from 1: delete every 2-th numbers; delete, from the remaining ones, every 3-th numbers · · · , and so on: delete, from the remaining ones, every n-th numbers, n = 2, 3, 4, · · · . In this paper, we study the following two problems: (A) Are there an infinity of primes that belong to this sequence? (B) Are there an infinity of numbers of this sequence which are not prime? Then we using the elementary methods to study these problems, and prove that the problem (B) is true." @default.
- W2964291805 created "2019-07-30" @default.
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- W2964291805 date "2008-05-01" @default.
- W2964291805 modified "2023-09-23" @default.
- W2964291805 title "A problem related to the Smarandache n-ary power sieve" @default.
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- W2964291805 doi "https://doi.org/10.5281/zenodo.9376" @default.
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