Ilias Laib

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 27, 2021, Number 3, Pages 39–43

DOI: 10.7546/nntdm.2021.27.3.39-43

**Full paper (PDF, 189 Kb)**

## Details

### Authors and affiliations

Ilias Laib

*ENSTP, Garidi Kouba, 16051, Algiers,
and Laboratory of Equations with Partial Non-Linear Derivatives,
ENS Vieux Kouba, Algiers, Algeria*

### Abstract

In this note, we construct a new set of primitive sets such that for any real number we get:

where denotes the set of prime numbers.

### Keywords

- Primitive sequences
- Erdős’s conjecture
- Prime numbers
- Integer sequences

### 2020 Mathematics Subject Classification

- 11B05
- 11Y55
- 11L20

### References

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## Related papers

- Rezzoug, N., Laib, I., & Guenda, K. (2020). On a translated sum over primitive sequences related to a conjecture of Erdős.
*Notes on Number Theory and Discrete Mathematics*, 26(4), 68–73.

## Cite this paper

Laib, I. (2021). Note on translated sum on primitive sequences. *Notes on Number Theory and Discrete Mathematics*, 27(3), 39-43, DOI: 10.7546/nntdm.2021.27.3.39-43.