| Title:
|
A search for Tribonacci-Wieferich primes (English) |
| Author:
|
Klaška, Jiří |
| Language:
|
English |
| Journal:
|
Acta Mathematica Universitatis Ostraviensis |
| ISSN:
|
1214-8148 |
| Volume:
|
16 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
15-20 |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
Tribonacci numbers |
| Keyword:
|
Tribonacci-Wieferich primes |
| MSC:
|
11B39 |
| MSC:
|
11B50 |
| idZBL:
|
Zbl 1203.11020 |
| idMR:
|
MR2498633 |
| . |
| Date available:
|
2009-12-29T09:23:26Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/137497 |
| . |
| Reference:
|
[1] Agronomof A.: Une série récurrente., Mathesis 4 (1914), 125–126. |
| Reference:
|
[2] Feinberg M.: Fibonacci-Tribonacci., The Fibonacci Quarterly 1.3 (1963), 70, 71–74. |
| Reference:
|
[3] Klaška J.: Criteria for testing Wall’s question., to appear in Czechoslovak Math. Journal 58.4 (2008). MR 2471180 |
| Reference:
|
[4] Klaška J.: Short remark on Fibonacci-Wieferich primes., Acta Math. Univ. Ostrav. 15 (2007), 21–25. MR 2418779 |
| Reference:
|
[5] Klaška J.: Tribonacci modulo $p^t$., Mathematica Bohemica, 133.3 (2008), 267–288. MR 2494781 |
| Reference:
|
[6] Klaška J.: On Tribonacci-Wieferich primes., submitted for publication in The Fibonacci Quarterly. |
| Reference:
|
[7] Spickerman W. R.: Binet’s Formula for the Tribonacci Sequence., The Fibonacci Quarterly 20.2 (1982), 118–120. Zbl 0486.10011, MR 0673292 |
| Reference:
|
[8] Vince A.: Period of a Linear Recurrence., Acta Arith. 39 (1981), 303–311. Zbl 0396.12001, MR 0640918 |
| Reference:
|
[9] Waddill M. E., Sacks L.: Another Generalized Fibonacci Sequence., The Fibonacci Quarterly 5.3 (1967), 209–222. Zbl 0154.04103, MR 0224546 |
| Reference:
|
[10] Waddill M. E.: Some Properties of a Generalized Fibonacci Sequence Modulo $m$., The Fibonacci Quarterly 16.4 (1978), 344–353. Zbl 0394.10007, MR 0514322 |
| . |
