almost primes
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Author(s):  
Jonathan Bayless ◽  
Paul Kinlaw ◽  
Jared Duker Lichtman
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2021 ◽  
Vol 6 (9) ◽  
pp. 9536-9546
Author(s):  
Victor Zhenyu Guo ◽  
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Author(s):  
Daniel A. Goldston ◽  
Sidney W. Graham ◽  
Apoorva Panidapu ◽  
Janos Pintz ◽  
Jordan Schettler ◽  
...  

2020 ◽  
Vol 211 ◽  
pp. 513-529 ◽  
Author(s):  
Jared Duker Lichtman
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2019 ◽  
Vol 204 ◽  
pp. 264-278
Author(s):  
Yaming Lu
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2019 ◽  
Vol 15 (01) ◽  
pp. 1-9
Author(s):  
Xiaodong Lü ◽  
Zhiwei Wang ◽  
Bin Chen

Denote by [Formula: see text] (respectively, [Formula: see text]) the largest (respectively, the smallest) prime factor of the integer [Formula: see text]. In this paper, we prove a lower bound of almost-primes [Formula: see text] with [Formula: see text] such that [Formula: see text] for [Formula: see text]. As an application, we study two patterns on the largest prime factors of consecutive integers with one of which without small prime factor.


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