Structural properties of primitive systems of natural numbers
Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 16-18.

Voir la notice de l'article provenant de la source Math-Net.Ru

The primitive systems of natural numbers are considered. The structure of their set is described, and the main properties of them are installed. An algorithm for enumerating primitive systems of natural numbers not exceeding a given number $m$ is given.
@article{PDMA_2012_5_a7,
     author = {S. N. Kjazhin and V. M. Fomichev},
     title = {Structural properties of primitive systems of natural numbers},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {16--18},
     publisher = {mathdoc},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2012_5_a7/}
}
TY  - JOUR
AU  - S. N. Kjazhin
AU  - V. M. Fomichev
TI  - Structural properties of primitive systems of natural numbers
JO  - Prikladnaya Diskretnaya Matematika. Supplement
PY  - 2012
SP  - 16
EP  - 18
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PDMA_2012_5_a7/
LA  - ru
ID  - PDMA_2012_5_a7
ER  - 
%0 Journal Article
%A S. N. Kjazhin
%A V. M. Fomichev
%T Structural properties of primitive systems of natural numbers
%J Prikladnaya Diskretnaya Matematika. Supplement
%D 2012
%P 16-18
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PDMA_2012_5_a7/
%G ru
%F PDMA_2012_5_a7
S. N. Kjazhin; V. M. Fomichev. Structural properties of primitive systems of natural numbers. Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 16-18. http://geodesic.mathdoc.fr/item/PDMA_2012_5_a7/

[1] Sachkov V. N., Tarakanov V. E., Kombinatorika neotritsatelnykh matrits, TVP, M., 2000 | MR | Zbl

[2] Fomichëv V. M., Metody diskretnoi matematiki v kriptologii, DIALOG-MIFI, M., 2010

[3] Rosser B., “The $n$-th prime is greater than $n\log n$”, Proc. London Math. Soc., 45 (1939), 21–44 | DOI | MR

[4] Kyazhin S. N., Fomichev V. M., “O primitivnykh naborakh naturalnykh chisel”, Prikladnaya diskretnaya matematika, 2012, no. 2, 5–14