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Fibonacci Sequence

Defined with \(F_0=0\), \(F_1=1\), and \(F_n=F_{n-1}+F_{n-2}\) when \(n\geq2\).

Table

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Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>

0: \[F_{0}\] 0
1: \[F_{1}\] 1
2: \[F_{2}\] 1
3: \[F_{3}\] 2
4: \[F_{4}\] 3
5: \[F_{5}\] 5
6: \[F_{6}\] 23
7: \[F_{7}\] 13
8: \[F_{8}\] 3 × 7
9: \[F_{9}\] 2 × 17
10: \[F_{10}\] 5 × 11
11: \[F_{11}\] 89
12: \[F_{12}\] 24 × 32
13: \[F_{13}\] 233
14: \[F_{14}\] 13 × 29
15: \[F_{15}\] 2 × 5 × 61
16: \[F_{16}\] 3 × 7 × 47
17: \[F_{17}\] 1597
18: \[F_{18}\] 23 × 17 × 19
19: \[F_{19}\] 37 × 113
20: \[F_{20}\] 3 × 5 × 11 × 41
21: \[F_{21}\] 2 × 13 × 421
22: \[F_{22}\] 89 × 199
23: \[F_{23}\] 28657
24: \[F_{24}\] 25 × 32 × 7 × 23
25: \[F_{25}\] 52 × 3001
26: \[F_{26}\] 233 × 521
27: \[F_{27}\] 2 × 17 × 53 × 109
28: \[F_{28}\] 3 × 13 × 29 × 281
29: \[F_{29}\] 514229
30: \[F_{30}\] 23 × 5 × 11 × 31 × 61
31: \[F_{31}\] 557 × 2417
32: \[F_{32}\] 3 × 7 × 47 × 2207
33: \[F_{33}\] 2 × 89 × 19801
34: \[F_{34}\] 1597 × 3571
35: \[F_{35}\] 5 × 13 × 141961
36: \[F_{36}\] 24 × 33 × 17 × 19 × 107
37: \[F_{37}\] 73 × 149 × 2221
38: \[F_{38}\] 37 × 113 × 9349
39: \[F_{39}\] 2 × 233 × 135721
40: \[F_{40}\] 3 × 5 × 7 × 11 × 41 × 2161
41: \[F_{41}\] 2789 × 59369
42: \[F_{42}\] 23 × 13 × 29 × 211 × 421
43: \[F_{43}\] 433494437
44: \[F_{44}\] 3 × 43 × 89 × 199 × 307
45: \[F_{45}\] 2 × 5 × 17 × 61 × 109441
46: \[F_{46}\] 139 × 461 × 28657
47: \[F_{47}\] 2971215073
48: \[F_{48}\] 26 × 32 × 7 × 23 × 47 × 1103
49: \[F_{49}\] 13 × 97 × 6168709
50: \[F_{50}\] 52 × 11 × 101 × 151 × 3001
51: \[F_{51}\] 2 × 1597 × 6376021
52: \[F_{52}\] 3 × 233 × 521 × 90481
53: \[F_{53}\] 953 × 55945741
54: \[F_{54}\] 23 × 17 × 19 × 53 × 109 × 5779
55: \[F_{55}\] 5 × 89 × 661 × 474541
56: \[F_{56}\] 3 × 72 × 13 × 29 × 281 × 14503
57: \[F_{57}\] 2 × 37 × 113 × 797 × 54833
58: \[F_{58}\] 59 × 19489 × 514229
59: \[F_{59}\] 353 × 2710260697
60: \[F_{60}\] 24 × 32 × 5 × 11 × 31 × 41 × 61 × 2521
61: \[F_{61}\] 4513 × 555003497
62: \[F_{62}\] 557 × 2417 × 3010349
63: \[F_{63}\] 2 × 13 × 17 × 421 × 35239681
64: \[F_{64}\] 3 × 7 × 47 × 1087 × 2207 × 4481
65: \[F_{65}\] 5 × 233 × 14736206161<11>
66: \[F_{66}\] 23 × 89 × 199 × 9901 × 19801
67: \[F_{67}\] 269 × 116849 × 1429913
68: \[F_{68}\] 3 × 67 × 1597 × 3571 × 63443
69: \[F_{69}\] 2 × 137 × 829 × 18077 × 28657
70: \[F_{70}\] 5 × 11 × 13 × 29 × 71 × 911 × 141961
71: \[F_{71}\] 6673 × 46165371073<11>
72: \[F_{72}\] 25 × 33 × 7 × 17 × 19 × 23 × 107 × 103681
73: \[F_{73}\] 9375829 × 86020717
74: \[F_{74}\] 73 × 149 × 2221 × 54018521
75: \[F_{75}\] 2 × 52 × 61 × 3001 × 230686501
76: \[F_{76}\] 3 × 37 × 113 × 9349 × 29134601
77: \[F_{77}\] 13 × 89 × 988681 × 4832521
78: \[F_{78}\] 23 × 79 × 233 × 521 × 859 × 135721
79: \[F_{79}\] 157 × 92180471494753<14>
80: \[F_{80}\] 3 × 5 × 7 × 11 × 41 × 47 × 1601 × 2161 × 3041
81: \[F_{81}\] 2 × 17 × 53 × 109 × 2269 × 4373 × 19441
82: \[F_{82}\] 2789 × 59369 × 370248451
83: \[F_{83}\] 99194853094755497<17>
84: \[F_{84}\] 24 × 32 × 13 × 29 × 83 × 211 × 281 × 421 × 1427
85: \[F_{85}\] 5 × 1597 × 9521 × 3415914041
86: \[F_{86}\] 6709 × 144481 × 433494437
87: \[F_{87}\] 2 × 173 × 514229 × 3821263937
88: \[F_{88}\] 3 × 7 × 43 × 89 × 199 × 263 × 307 × 881 × 967
89: \[F_{89}\] 1069 × 1665088321800481<16>
90: \[F_{90}\] 23 × 5 × 11 × 17 × 19 × 31 × 61 × 181 × 541 × 109441
91: \[F_{91}\] 132 × 233 × 741469 × 159607993
92: \[F_{92}\] 3 × 139 × 461 × 4969 × 28657 × 275449
93: \[F_{93}\] 2 × 557 × 2417 × 4531100550901<13>
94: \[F_{94}\] 2971215073 × 6643838879<10>
95: \[F_{95}\] 5 × 37 × 113 × 761 × 29641 × 67735001
96: \[F_{96}\] 27 × 32 × 7 × 23 × 47 × 769 × 1103 × 2207 × 3167
97: \[F_{97}\] 193 × 389 × 3084989 × 361040209
98: \[F_{98}\] 13 × 29 × 97 × 6168709 × 599786069
99: \[F_{99}\] 2 × 17 × 89 × 197 × 19801 × 18546805133<11>

Index range: 0 – 99 next >>