O nieskończonych ciągach liczb parami względnie pierwszych raz jeszcze

Jan Górowski, Adam Łomnicki

Abstract


In the paper the authors, using general formulas, determine and describe a class of infinite sequences of natural numbers, pairs of which are relatively prime. This result was obtained using the theory of Lucas sequences and recurrent equations of the second degree.

Keywords


infinite sequences of natural numbers pairs of which are relatively prime, general formulas

References


Edwards, A. W. F.: 1964, Infinite coprime sequences, Math. Gazette 48, 416-422.

Górowski, J., Łomnicki, A.: 2009, O nieskończonych ciągach liczb naturalnych, parami względnie pierwszych, Annales Academiae Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia II, 51-69.

Koshy, T.: 2001, Fibonacci and Lucas numbers with applications, John Wiley & Sons. Inc.

Ribenboim, P.: 1997, Mała księga wielkich liczb pierwszych, Wydaw. Naukowo-Techniczne, Warszawa.


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