QQ\mathbb{Q}-Korselt numbers

Nejib GHANMI

Makale detayları

QQ\mathbb{Q}-Korselt numbers

Yazarlar:

Nejib GHANMI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2752-2762

Belge Tipi:

Makale

Yayın Tarihi:

9/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745796

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Let α=α1α2∈Q∖{0}α=α1α2∈Q∖{0}\alpha=\dfrac{\alpha_{1}}{\alpha_{2}}\in \mathbb{Q}\setminus \{0\}; a positive integer NNN is said to be an \emph{αα\alpha-Korselt number} (\emph{KαKαK_{\alpha}-number}, for short) if N≠αN≠αN\neq \alpha  and α2p−α1α2p−α1\alpha_{2}p-\alpha_{1} divides α2N−α1α2N−α1\alpha_{2}N-\alpha_{1} for  every prime divisor ppp of NNN. In this paper we prove that for each squarefree composite number NNN there exist finitely many rational numbers αα\alpha such that NNN  is a   KαKαK_{\alpha}-number and if α≤1α≤1\alpha\leq1  then NNN has at least three prime factors. Moreover, we prove that for each  α∈Q∖{0}α∈Q∖{0}\alpha\in \mathbb{Q}\setminus \{0\} there exist only finitely many squarefree composite numbers NNN with two prime factors such that NNN is a KαKαK_{\alpha}-number.

Makale detayları

QQ\mathbb{Q}-Korselt numbers

Yazarlar: Nejib GHANMI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2752-2762

Belge Tipi: Makale

Yayın Tarihi: 9/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745796

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Nejib GHANMI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2752-2762

Belge Tipi:

Makale

Yayın Tarihi:

9/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745796

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098