O nieskończonych ciągach liczb naturalnych, parami względnie pierwszych

Jan Górowski; Adam Łomnicki

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia (2009)

  • Volume: 2, page 51-67
  • ISSN: 2080-9751

Abstract

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In the first part of the paper the authors, using general formulas, determine and describe a class of infinite series of natural numbers pairs of which are relatively prime. The second part of the paper contains - as a proposition - a set of problems concerning prime numbers and pairs of relatively prime numbers suggested for use during the process of work with Mathematics students, as well as some didactic comments concerning these problems.

How to cite

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Jan Górowski, and Adam Łomnicki. "O nieskończonych ciągach liczb naturalnych, parami względnie pierwszych." Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia 2 (2009): 51-67. <http://eudml.org/doc/296317>.

@article{JanGórowski2009,
abstract = {In the first part of the paper the authors, using general formulas, determine and describe a class of infinite series of natural numbers pairs of which are relatively prime. The second part of the paper contains - as a proposition - a set of problems concerning prime numbers and pairs of relatively prime numbers suggested for use during the process of work with Mathematics students, as well as some didactic comments concerning these problems.},
author = {Jan Górowski, Adam Łomnicki},
journal = {Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia},
language = {pol},
pages = {51-67},
title = {O nieskończonych ciągach liczb naturalnych, parami względnie pierwszych},
url = {http://eudml.org/doc/296317},
volume = {2},
year = {2009},
}

TY - JOUR
AU - Jan Górowski
AU - Adam Łomnicki
TI - O nieskończonych ciągach liczb naturalnych, parami względnie pierwszych
JO - Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
PY - 2009
VL - 2
SP - 51
EP - 67
AB - In the first part of the paper the authors, using general formulas, determine and describe a class of infinite series of natural numbers pairs of which are relatively prime. The second part of the paper contains - as a proposition - a set of problems concerning prime numbers and pairs of relatively prime numbers suggested for use during the process of work with Mathematics students, as well as some didactic comments concerning these problems.
LA - pol
UR - http://eudml.org/doc/296317
ER -

References

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  1. Edwards, A. W. F.: 1964, Infinite coprime sequences, Math. Gazette 48, 416-422. 
  2.  
  3. Graham, R. L., Knuth, D. E., Patashnik, O.: 2002, Matematyka konkretna, PWN, Warszawa. 
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  5. Górowski, J., Łomnicki, A.: 1993, Arytmetyka i algebra, Wojewódzki Ośrodek Metodyczny w Bielsku-Białej, Bielsko-Biała. 
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  7. Marzantowicz, W., Zarzycki, P.: 2006, Elementarna teoria liczb, PWN, Warszawa. 
  8.  
  9. Ribenboim, P.: 1997, Mała księga wielkich liczb pierwszych, Wydawnictwo Naukowo-Techniczne, Warszawa. 
  10.  
  11. Sierpiński, W.: 1959a, O stu prostych ale trudnych zagadnieniach arytmetyki, PZWS, Warszawa. 
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  13. Sierpiński, W.: 1959b, Teoria liczb, cz. 2, PWN, Warszawa. 
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  15. Sierpiński, W.: 1964, 200 zadań z elementarnej teorii liczb, PZWS, Warszawa. 
  16.  
  17. Sierpiński, W.: 1969, Arytmetyka teoretyczna, PWN, Warszawa. 
  18.  
  19. Yan, S. Y.: 2006, Teoria liczb w informatyce, PWN, Warszawa. 

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