| Title:
|
Composite positive integers whose sum of prime factors is prime (English) |
| Author:
|
Luca, Florian |
| Author:
|
Moodley, Damon |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
56 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
49-64 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $x/ \log x$. (English) |
| Keyword:
|
primes |
| Keyword:
|
applications of sieve methods |
| MSC:
|
11N25 |
| MSC:
|
11N36 |
| idZBL:
|
Zbl 07177880 |
| idMR:
|
MR4075888 |
| DOI:
|
10.5817/AM2020-1-49 |
| . |
| Date available:
|
2020-03-02T09:08:56Z |
| Last updated:
|
2020-08-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148036 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
