A search for Tribonacci-Wieferich primes

Jiří Klaška

Acta Mathematica Universitatis Ostraviensis (2008)

  • Volume: 16, Issue: 1, page 15-20
  • ISSN: 1804-1388

Abstract

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Such problems as the search for Wieferich primes or Wall-Sun-Sun primes are intensively studied and often discused at present. This paper is devoted to a similar problem related to the Tribonacci numbers.

How to cite

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Klaška, Jiří. "A search for Tribonacci-Wieferich primes." Acta Mathematica Universitatis Ostraviensis 16.1 (2008): 15-20. <http://eudml.org/doc/35172>.

@article{Klaška2008,
abstract = {Such problems as the search for Wieferich primes or Wall-Sun-Sun primes are intensively studied and often discused at present. This paper is devoted to a similar problem related to the Tribonacci numbers.},
author = {Klaška, Jiří},
journal = {Acta Mathematica Universitatis Ostraviensis},
keywords = {Tribonacci numbers; Tribonacci-Wieferich primes; Tribonacci numbers; distribution of primes with arithmetic constraints},
language = {eng},
number = {1},
pages = {15-20},
publisher = {University of Ostrava},
title = {A search for Tribonacci-Wieferich primes},
url = {http://eudml.org/doc/35172},
volume = {16},
year = {2008},
}

TY - JOUR
AU - Klaška, Jiří
TI - A search for Tribonacci-Wieferich primes
JO - Acta Mathematica Universitatis Ostraviensis
PY - 2008
PB - University of Ostrava
VL - 16
IS - 1
SP - 15
EP - 20
AB - Such problems as the search for Wieferich primes or Wall-Sun-Sun primes are intensively studied and often discused at present. This paper is devoted to a similar problem related to the Tribonacci numbers.
LA - eng
KW - Tribonacci numbers; Tribonacci-Wieferich primes; Tribonacci numbers; distribution of primes with arithmetic constraints
UR - http://eudml.org/doc/35172
ER -

References

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  1. Agronomof A., Une série récurrente, , Mathesis 4 (1914), 125–126. (1914) 
  2. Feinberg M., Fibonacci-Tribonacci, , The Fibonacci Quarterly 1.3 (1963), 70, 71–74. (1963) 
  3. Klaška J., Criteria for testing Wall’s question, , to appear in Czechoslovak Math. Journal 58.4 (2008). MR2471180
  4. Klaška J., Short remark on Fibonacci-Wieferich primes, , Acta Math. Univ. Ostrav. 15 (2007), 21–25. MR2418779
  5. Klaška J., Tribonacci modulo p t , , Mathematica Bohemica, 133.3 (2008), 267–288. MR2494781
  6. Klaška J., On Tribonacci-Wieferich primes, , submitted for publication in The Fibonacci Quarterly. 
  7. Spickerman W. R., Binet’s Formula for the Tribonacci Sequence, , The Fibonacci Quarterly 20.2 (1982), 118–120. (1982) Zbl0486.10011MR0673292
  8. Vince A., Period of a Linear Recurrence, , Acta Arith. 39 (1981), 303–311. (1981) Zbl0396.12001MR0640918
  9. Waddill M. E., Sacks L., Another Generalized Fibonacci Sequence, , The Fibonacci Quarterly 5.3 (1967), 209–222. (1967) Zbl0154.04103MR0224546
  10. Waddill M. E., Some Properties of a Generalized Fibonacci Sequence Modulo m , , The Fibonacci Quarterly 16.4 (1978), 344–353. (1978) Zbl0394.10007MR0514322

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