On a problem of Sierpiński. II
type: Item
instance of: scholarly article
title: On a problem of Sierpiński. II
zbMATH Open document ID: 1333.11007
author: Jinhui Fang
author: Yonggao Chen
published in: Science China. Mathematics
publication date: 2015-03-26T00:00:00Z
review text: For an integer \(s\geq2\) let \(\mu_s\) be the least integer such that every integer greater than \(\mu_s\) is a sum of \(s\) pairwise coprime integers greater than \(1\), and let \(c_s= \mu_s-\sum_{i=1}^{s+1} p_i\), where \(p_1=2,\;p_s=3,\dots\) is the sequence of primes. Let \(A\) be the set of all integers \(c_s\) for \(s\geq3\). The set \(A\) is explicitly described by the authors. The set \(A\) consists of \(125\) even integers in the interval \([2,1100]\). Moreover, under Dickson's conjecture, the authors prove that every integer in \(A\) occurs infinitely many times in the sequence \(c_s\) for \(s\geq3\). Part I, see Acta Arith. 156, No. 4, 373--382 (2012; Zbl 1327.11007).
reviewed by: Moshe Roitman
Mathematics Subject Classification ID: 11A41
Mathematics Subject Classification ID: 11A67
zbMATH DE Number: 6419675
zbMATH Keywords: Sierpiński's problem
zbMATH Keywords: consecutive primes
zbMATH Keywords: Dickson's conjecture
zbMATH Keywords: pairwise relatively prime
MaRDI profile type: Publication
full work available at URL: s11425-014-4874-3
OpenAlex ID: W1978549698
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cites work: On a problem of Erdős
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cites work: Q4870979
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DOI: 10.1007/S11425-014-4874-3
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description: scientific article; zbMATH DE number 6419675