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Let Pc=(⌊pc⌋)p∈P with c> 1 and c∉N, where P is the set of prime numbers, and ⌊. ⌋ is the floor function. We show that for every such c there are infinitely many members of Pc having at most R(c) prime factors, giving explicit estimates for R(c) when c is near one and also when c is large.
- Piatetski-Shapiro sequences