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Nombor Fibonacci
{{pelbagai isu|{{cleanup|reason=memerlukan penterjemahan segera kerana sudah ditinggalkan sejak tahun 2008|date=Ogos 2014}}{{Terjemah|en|fabonacci number|date=Ogos 2014}}}}
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[[Image:FibonacciBlocks.svg|thumb|180px|right|Suatu ubinan dengan segi empat yang tepinya adalah nombor Fibonaci berturut-turut pada panjangnya]]
(contracted; show full)7;'</sub>, ''F''<sub>''m''</sub>) = ''F''<sub>gcd(''n'', ''m'').</sub><ref>[[Paulo Ribenboim]], ''My Numbers, My Friends'', Springer-Verlag 2000</ref><ref>Su, Francis E., et al. [http://www.math.hmc.edu/funfacts/ffiles/20004.5.shtml "Fibonacci GCD's, please."], ''Mudd Math Fun Facts''.</ref>

===
Odd divisorsPembahagi ganjil===

IfJika ''n'' is odd all the odd divisors of adalah ganjil, semua pembahagi ganjilF<sub>''n''</sub> are ≡ 1 (mod 4).<ref>Lemmermeyer, ex. 2.27 p. 73</ref><ref>The website [http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibtable.html] has the first 300 Fibonacci numbers factored into primes.</ref> <br>
This is equivalent to saying that for odd ''n'' all the odd primeIni adalah bersamaan dengan mengatakan bahawa untuk ''n'' ganjil semua facktors of perdana ganjil F<sub>''n''</sub> aredalah ≡ 1 (mod 4).

<blockquote>For exampleContohnya,
F<sub>1</sub> = 1, F<sub>3</sub> = 2, F<sub>5</sub> = 5, F<sub>7</sub> = 13, F<sub>9</sub> = 34 = 2×17, F<sub>11</sub> = 89, F<sub>13</sub> = 233, F<sub>15</sub> = 610 = 2×5×61
</blockquote>

===Fibonacci dan Legendre===

Terdapat beberapa rumus yang menarik menghubungkan nombor Fibonacci dan [[simbol Legendre]] <math>\;\left(\tfrac{p}{5}\right).</math> 

(contracted; show full)
*[http://web.archive.org/web/20070715032716/http://mathdl.maa.org/convergence/1/?pa=content&sa=viewDocument&nodeId=630&bodyId=1002 Fibonacci Numbers] at [http://web.archive.org/web/20060212072618/http://mathdl.maa.org/convergence/1/ Convergence]
* [http://www.tools4noobs.com/online_tools/fibonacci/ Online Fibonacci calculator]

[[Kategori:Fibonacci numbers|*]]
[[Kategori:Articles containing proofs]]

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