Criteria for testing Wall's question

Jiří Klaška

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 4, page 1241-1246
  • ISSN: 0011-4642

Abstract

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In this paper we find certain equivalent formulations of Wall's question and derive two interesting criteria that can be used to resolve this question for particular primes.

How to cite

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Klaška, Jiří. "Criteria for testing Wall's question." Czechoslovak Mathematical Journal 58.4 (2008): 1241-1246. <http://eudml.org/doc/37900>.

@article{Klaška2008,
abstract = {In this paper we find certain equivalent formulations of Wall's question and derive two interesting criteria that can be used to resolve this question for particular primes.},
author = {Klaška, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {Fibonacci numbers; Wall's question; Wall-Sun-Sun prime; Fibonacci-Wieferich prime; modular periodicity; periodic sequence; Fibonacci numbers; Wall's question; Wall-Sun-Sun prime; modular periodicity; periodic sequence},
language = {eng},
number = {4},
pages = {1241-1246},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Criteria for testing Wall's question},
url = {http://eudml.org/doc/37900},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Klaška, Jiří
TI - Criteria for testing Wall's question
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 4
SP - 1241
EP - 1246
AB - In this paper we find certain equivalent formulations of Wall's question and derive two interesting criteria that can be used to resolve this question for particular primes.
LA - eng
KW - Fibonacci numbers; Wall's question; Wall-Sun-Sun prime; Fibonacci-Wieferich prime; modular periodicity; periodic sequence; Fibonacci numbers; Wall's question; Wall-Sun-Sun prime; modular periodicity; periodic sequence
UR - http://eudml.org/doc/37900
ER -

References

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  1. Crandall, R., Dilcher, K., Pomerance, C., 10.1090/S0025-5718-97-00791-6, Math. Comp. 66 (1997), 443-449. (1997) Zbl0854.11002MR1372002DOI10.1090/S0025-5718-97-00791-6
  2. Elsenhans, A.-S., Jahnel, J., The Fibonacci sequence modulo p 2 —An investigation by computer for p < 10 14 , The On-Line Encyclopedia of Integer Sequences (2004), 27. (2004) 
  3. Li, H. Ch., Fibonacci primitive roots and Wall's question, Fibonacci Quart. 37 (1999), 77-84. (1999) Zbl0936.11011MR1676707
  4. McIntosh, R. J., Roettger, E. L., 10.1090/S0025-5718-07-01955-2, Math. Comp. 76 (2007), 2087-2094. (2007) Zbl1139.11003MR2336284DOI10.1090/S0025-5718-07-01955-2
  5. Sun, Z.-H., Sun, Z.-W., 10.4064/aa-60-4-371-388, Acta Arith. 60 (1992), 371-388. (1992) Zbl0725.11009MR1159353DOI10.4064/aa-60-4-371-388
  6. Wall, D. D., 10.2307/2309169, Amer. Math. Monthly 67 6 (1960), 525-532. (1960) Zbl0101.03201MR0120188DOI10.2307/2309169
  7. Williams, H. C., 10.4153/CMB-1982-053-0, Canad. Math. Bull. 25 (1982), 366-370. (1982) MR0668957DOI10.4153/CMB-1982-053-0

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