Composite positive integers whose sum of prime factors is prime
Archivum Mathematicum (2020)
- Volume: 056, Issue: 1, page 49-64
- ISSN: 0044-8753
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topLuca, Florian, and Moodley, Damon. "Composite positive integers whose sum of prime factors is prime." Archivum Mathematicum 056.1 (2020): 49-64. <http://eudml.org/doc/295085>.
@article{Luca2020,
abstract = {In this note, we show that the counting function of the number of composite positive integers $n\le x$ such that $\beta (n)=\sum _\{p\mid n\} p$ is a prime is of order of magnitude at least $x/(\log x)^3$ and at most $x/ \log x$.},
author = {Luca, Florian, Moodley, Damon},
journal = {Archivum Mathematicum},
keywords = {primes; applications of sieve methods},
language = {eng},
number = {1},
pages = {49-64},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Composite positive integers whose sum of prime factors is prime},
url = {http://eudml.org/doc/295085},
volume = {056},
year = {2020},
}
TY - JOUR
AU - Luca, Florian
AU - Moodley, Damon
TI - Composite positive integers whose sum of prime factors is prime
JO - Archivum Mathematicum
PY - 2020
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 056
IS - 1
SP - 49
EP - 64
AB - In this note, we show that the counting function of the number of composite positive integers $n\le x$ such that $\beta (n)=\sum _{p\mid n} p$ is a prime is of order of magnitude at least $x/(\log x)^3$ and at most $x/ \log x$.
LA - eng
KW - primes; applications of sieve methods
UR - http://eudml.org/doc/295085
ER -
References
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