Article
Full entry |
PDF
(0.2 MB)
Feedback
PDF
(0.2 MB)
Feedback
Keywords:
Tribonacci numbers; Tribonacci-Wieferich primes
Tribonacci numbers; Tribonacci-Wieferich primes
Summary:
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.
References:
[1] Agronomof, A.: Une série récurrente. , Mathesis 4 (1914), 125–126.
[2] Feinberg, M.: Fibonacci-Tribonacci. , The Fibonacci Quarterly 1.3 (1963), 70, 71–74.
[3] Klaška, J.: Criteria for testing Wall’s question. , to appear in Czechoslovak Math. Journal 58.4 (2008). MR 2471180
[4] Klaška, J.: Short remark on Fibonacci-Wieferich primes. , Acta Math. Univ. Ostrav. 15 (2007), 21–25. MR 2418779
[5] Klaška, J.: Tribonacci modulo $p^t$. , Mathematica Bohemica, 133.3 (2008), 267–288. MR 2494781
[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. MR 0673292 | Zbl 0486.10011
[8] Vince, A.: Period of a Linear Recurrence. , Acta Arith. 39 (1981), 303–311. MR 0640918 | Zbl 0396.12001
[9] Waddill, M. E., Sacks, L.: Another Generalized Fibonacci Sequence. , The Fibonacci Quarterly 5.3 (1967), 209–222. MR 0224546 | Zbl 0154.04103
[10] Waddill, M. E.: Some Properties of a Generalized Fibonacci Sequence Modulo $m$. , The Fibonacci Quarterly 16.4 (1978), 344–353. MR 0514322 | Zbl 0394.10007