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fibonaccii
read my profile sign my guestbook Name: Adam Country: United States State: Pennsylvania Gender: Male Message: message me Website: visit my website AIM: orion0616 Member Since: 5/14/2005

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Tuesday, August 29, 2006

The picture in the profile picture is a representation of a man named Fibonacci. This site, purposely misspelled, was named after him. He is known for popularizing the use of Arabic numerals (instead of the obsolete Roman numerals). He is also famous for writing a couple of books on math and geometry. He is most well known for a series of numbers, known as the Fibonacci numbers.

Below are the first 150 terms, factored.

0 : 0
1 : 1
2 : 1
3 : 2
4 : 3
5 : 5
6 : 8 = 2³
7 : 13
8 : 21 = 3 x 7
9 : 34 = 2 x 17
10 : 55 = 5 x 11
11 : 89
12 : 144 = 2⁴ x 3²
13 : 233
14 : 377 = 13 x 29
15 : 610 = 2 x 5 x 61
16 : 987 = 3 x 7 x 47
17 : 1597
18 : 2584 = 2³ x 17 x 19
19 : 4181 = 37 x 113
20 : 6765 = 3 x 5 x 11 x 41
21 : 10946 = 2 x 13 x 421
22 : 17711 = 89 x 199
23 : 28657
24 : 46368 = 2⁵ x 3² x 7 x 23
25 : 75025 = 5² x 3001
26 : 121393 = 233 x 521
27 : 196418 = 2 x 17 x 53 x 109
28 : 317811 = 3 x 13 x 29 x 281
29 : 514229
30 : 832040 = 2³ x 5 x 11 x 31 x 61
31 : 1346269 = 557 x 2417
32 : 2178309 = 3 x 7 x 47 x 2207
33 : 3524578 = 2 x 89 x 19801
34 : 5702887 = 1597 x 3571
35 : 9227465 = 5 x 13 x 141961
36 : 14930352 = 2⁴ x 3³ x 17 x 19 x 107
37 : 24157817 = 73 x 149 x 2221
38 : 39088169 = 37 x 113 x 9349
39 : 63245986 = 2 x 233 x 135721
40 : 102334155 = 3 x 5 x 7 x 11 x 41 x 2161
41 : 165580141 = 2789 x 59369
42 : 267914296 = 2³ x 13 x 29 x 211 x 421
43 : 433494437
44 : 701408733 = 3 x 43 x 89 x 199 x 307
45 : 1134903170 = 2 x 5 x 17 x 61 x 109441
46 : 1836311903 = 139 x 461 x 28657
47 : 2971215073
48 : 4807526976 = 2⁶ x 3² x 7 x 23 x 47 x 1103
49 : 7778742049 = 13 x 97 x 6168709
50 : 12586269025 = 5² x 11 x 101 x 151 x 3001
51 : 20365011074 = 2 x 1597 x 6376021
52 : 32951280099 = 3 x 233 x 521 x 90481
53 : 53316291173 = 953 x 55945741
54 : 86267571272 = 2³ x 17 x 19 x 53 x 109 x 5779
55 : 139583862445 = 5 x 89 x 661 x 474541
56 : 225851433717 = 3 x 7² x 13 x 29 x 281 x 14503
57 : 365435296162 = 2 x 37 x 113 x 797 x 54833
58 : 591286729879 = 59 x 19489 x 514229
59 : 956722026041 = 353 x 2710260697
60 : 1548008755920 = 2⁴ x 3² x 5 x 11 x 31 x 41 x 61 x 2521
61 : 2504730781961 = 4513 x 555003497
62 : 4052739537881 = 557 x 2417 x 3010349
63 : 6557470319842 = 2 x 13 x 17 x 421 x 35239681
64 : 10610209857723 = 3 x 7 x 47 x 1087 x 2207 x 4481
65 : 17167680177565 = 5 x 233 x 14736206161
66 : 27777890035288 = 2³ x 89 x 199 x 9901 x 19801
67 : 44945570212853 = 269 x 116849 x 1429913
68 : 72723460248141 = 3 x 67 x 1597 x 3571 x 63443
69 : 117669030460994 = 2 x 137 x 829 x 18077 x 28657
70 : 190392490709135 = 5 x 11 x 13 x 29 x 71 x 911 x 141961
71 : 308061521170129 = 6673 x 46165371073
72 : 498454011879264 = 2⁵ x 3³ x 7 x 17 x 19 x 23 x 107 x 103681
73 : 806515533049393 = 9375829 x 86020717
74 : 1304969544928657 = 73 x 149 x 2221 x 54018521
75 : 2111485077978050 = 2 x 5² x 61 x 3001 x 230686501
76 : 3416454622906707 = 3 x 37 x 113 x 9349 x 29134601
77 : 5527939700884757 = 13 x 89 x 988681 x 4832521
78 : 8944394323791464 = 2³ x 79 x 233 x 521 x 859 x 135721
79 : 14472334024676221 = 157 x 92180471494753
80 : 23416728348467685 = 3 x 5 x 7 x 11 x 41 x 47 x 1601 x 2161 x 3041
81 : 37889062373143906 = 2 x 17 x 53 x 109 x 2269 x 4373 x 19441
82 : 61305790721611591 = 2789 x 59369 x 370248451
83 : 99194853094755497
84 : 160500643816367088 = 2⁴ x 3² x 13 x 29 x 83 x 211 x 281 x 421 x 1427
85 : 259695496911122585 = 5 x 1597 x 9521 x 3415914041
86 : 420196140727489673 = 6709 x 144481 x 433494437
87 : 679891637638612258 = 2 x 173 x 514229 x 3821263937
88 : 1100087778366101931 = 3 x 7 x 43 x 89 x 199 x 263 x 307 x 881 x 967
89 : 1779979416004714189 = 1069 x 1665088321800481
90 : 2880067194370816120 = 2³ x 5 x 11 x 17 x 19 x 31 x 61 x 181 x 541 x 109441
91 : 4660046610375530309 = 13² x 233 x 741469 x 159607993
92 : 7540113804746346429 = 3 x 139 x 461 x 4969 x 28657 x 275449
93 : 12200160415121876738 = 2 x 557 x 2417 x 4531100550901
94 : 19740274219868223167 = 2971215073 x 6643838879
95 : 31940434634990099905 = 5 x 37 x 113 x 761 x 29641 x 67735001
96 : 51680708854858323072 = 2⁷ x 3² x 7 x 23 x 47 x 769 x 1103 x 2207 x 3167
97 : 83621143489848422977 = 193 x 389 x 3084989 x 361040209
98 : 135301852344706746049 = 13 x 29 x 97 x 6168709 x 599786069
99 : 218922995834555169026 = 2 x 17 x 89 x 197 x 19801 x 18546805133
100 : 354224848179261915075 = 3 x 5² x 11 x 41 x 101 x 151 x 401 x 3001 x 570601
101 : 573147844013817084101 = 743519377 x 770857978613
102 : 927372692193078999176 = 2³ x 919 x 1597 x 3469 x 3571 x 6376021
103 : 1500520536206896083277 = 519121 x 5644193 x 512119709
104 : 2427893228399975082453 = 3 x 7 x 103 x 233 x 521 x 90481 x 102193207
105 : 3928413764606871165730 = 2 x 5 x 13 x 61 x 421 x 141961 x 8288823481
106 : 6356306993006846248183 = 953 x 55945741 x 119218851371
107 : 10284720757613717413913 = 1247833 x 8242065050061761
108 : 16641027750620563662096 = 2⁴ x 3⁴ x 17 x 19 x 53 x 107 x 109 x 5779 x 11128427
109 : 26925748508234281076009 = 827728777 x 32529675488417
110 : 43566776258854844738105 = 5 x 11² x 89 x 199 x 331 x 661 x 39161 x 474541
111 : 70492524767089125814114 = 2 x 73 x 149 x 2221 x 1459000305513721
112 : 114059301025943970552219 = 3 x 7² x 13 x 29 x 47 x 281 x 14503 x 10745088481
113 : 184551825793033096366333 = 677 x 272602401466814027129
114 : 298611126818977066918552 = 2³ x 37 x 113 x 229 x 797 x 9349 x 54833 x 95419
115 : 483162952612010163284885 = 5 x 1381 x 28657 x 2441738887963981
116 : 781774079430987230203437 = 3 x 59 x 347 x 19489 x 514229 x 1270083883
117 : 1264937032042997393488322 = 2 x 17 x 233 x 29717 x 135721 x 39589685693
118 : 2046711111473984623691759 = 353 x 709 x 8969 x 336419 x 2710260697
119 : 3311648143516982017180081 = 13 x 1597 x 159512939815855788121
120 : 5358359254990966640871840 = 2⁵ x 3² x 5 x 7 x 11 x 23 x 31 x 41 x 61 x 241 x 2161 x 2521 x 20641
121 : 8670007398507948658051921 = 89 x 97415813466381445596089
122 : 14028366653498915298923761 = 4513 x 555003497 x 5600748293801
123 : 22698374052006863956975682 = 2 x 2789 x 59369 x 68541957733949701
124 : 36726740705505779255899443 = 3 x 557 x 2417 x 3010349 x 3020733700601
125 : 59425114757512643212875125 = 5³ x 3001 x 158414167964045700001
126 : 96151855463018422468774568 = 2³ x 13 x 17 x 19 x 29 x 211 x 421 x 1009 x 31249 x 35239681
127 : 155576970220531065681649693 = 27941 x 5568053048227732210073
128 : 251728825683549488150424261 = 3 x 7 x 47 x 127 x 1087 x 2207 x 4481 x 186812208641
129 : 407305795904080553832073954 = 2 x 257 x 5417 x 8513 x 39639893 x 433494437
130 : 659034621587630041982498215 = 5 x 11 x 131 x 233 x 521 x 2081 x 24571 x 14736206161
131 : 1066340417491710595814572169
132 : 1725375039079340637797070384 = 2⁴ x 3² x 43 x 89 x 199 x 307 x 9901 x 19801 x 261399601
133 : 2791715456571051233611642553 = 13 x 37 x 113 x 3457 x 42293 x 351301301942501
134 : 4517090495650391871408712937 = 269 x 4021 x 116849 x 1429913 x 24994118449
135 : 7308805952221443105020355490 = 2 x 5 x 17 x 53 x 61 x 109 x 109441 x 1114769954367361
136 : 11825896447871834976429068427 = 3 x 7 x 67 x 1597 x 3571 x 63443 x 23230657239121
137 : 19134702400093278081449423917
138 : 30960598847965113057878492344 = 2³ x 137 x 139 x 461 x 691 x 829 x 18077 x 28657 x 1485571
139 : 50095301248058391139327916261 = 277 x 2114537501 x 85526722937689093
140 : 81055900096023504197206408605 = 3 x 5 x 11 x 13 x 29 x 41 x 71 x 281 x 911 x 141961 x 12317523121
141 : 131151201344081895336534324866 = 2 x 108289 x 1435097 x 142017737 x 2971215073
142 : 212207101440105399533740733471 = 6673 x 46165371073 x 688846502588399
143 : 343358302784187294870275058337 = 89 x 233 x 8581 x 1929584153756850496621
144 : 555565404224292694404015791808 = 2⁶ x 3³ x 7 x 17 x 19 x 23 x 47 x 107 x 1103 x 103681 x 10749957121
145 : 898923707008479989274290850145 = 5 x 514229 x 349619996930737079890201
146 : 1454489111232772683678306641953 = 151549 x 9375829 x 86020717 x 11899937029
147 : 2353412818241252672952597492098 = 2 x 13 x 97 x 293 x 421 x 3529 x 6168709 x 347502052673
148 : 3807901929474025356630904134051 = 3 x 73 x 149 x 2221 x 11987 x 54018521 x 81143477963
149 : 6161314747715278029583501626149 = 110557 x 162709 x 4000949 x 85607646594577
150 : 9969216677189303386214405760200 = 2³ x 5² x 11 x 31 x 61 x 101 x 151 x 3001 x 12301 x 18451 x 230686501

The formula for the sequence is A_n = A_n-1 + A_n-2 (the sum of the two preceding terms).

And that's Fibonacci. More.

11:12 PM - 6 views - email it

An unexpected exception has been detected in native code outside the VM.
Unexpected Signal : EXCEPTION_ACCESS_VIOLATION occurred at PC=0x6D1B3B67
Function=[Unknown.]
Library=(N/A)

NOTE: We are unable to locate the function name symbol for the error
      just occurred. Please refer to release documentation for possible
      reason and solutions.

Current Java thread:
    at sun.awt.font.NativeFontWrapper.registerFonts(Native Method)
    - locked <206BB8B8> (a java.lang.Class)
    at sun.java2d.SunGraphicsEnvironment.addPathFonts(Unknown Source)
    at sun.java2d.SunGraphicsEnvironment.registerFonts(Unknown Source)
    at sun.java2d.SunGraphicsEnvironment.access$000(Unknown Source)
    at sun.java2d.SunGraphicsEnvironment$2.run(Unknown Source)
    at java.security.AccessController.doPrivileged(Native Method)
    at sun.java2d.SunGraphicsEnvironment.loadFonts(Unknown Source)
    - locked <1AC519E0> (a sun.awt.Win32GraphicsEnvironment)
    at sun.java2d.SunGraphicsEnvironment.mapFamilyName(Unknown Source)
    at java.awt.Font.initializeFont(Unknown Source)
    at java.awt.Font.<init>(Unknown Source)
    at fphover.init(fphover.java)
    at sun.applet.AppletPanel.run(Unknown Source)
    at java.lang.Thread.run(Unknown Source)

Dynamic libraries:
0x7D2A0000 - 0x7D2CD000     C:\WINDOWS\SYSTEM\DBGHELP.DLL

Local Time = Thu May 05 16:43:52 2005
Elapsed Time = 17
#
# The exception above was detected in native code outside the VM
#
# Java VM: Java HotSpot(TM) Client VM (1.4.0_01-b03 mixed mode)
#