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Nov 02, 04
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The Fibbonacci Sequence....
I was listening to Sasha in Ibiza today, and well... yah.
yeeee can't wait for BT! 
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Nov 02, 04
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Fibbonacci eh?
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 151 : 16130531424904581415797907386349 = 5737 x 2811666624525811646469915877 152 : 26099748102093884802012313146549 = 3 x 7 x 37 x 113 x 9349 x 29134601 x 1091346396980401 153 : 42230279526998466217810220532898 = 2 x 172 x 1597 x 6376021 x 7175323114950564593 154 : 68330027629092351019822533679447 = 13 x 29 x 89 x 199 x 229769 x 988681 x 4832521 x 9321929 155 : 110560307156090817237632754212345 = 5 x 557 x 2417 x 21701 x 12370533881 x 61182778621 156 : 178890334785183168257455287891792 = 24 x 32 x 79 x 233 x 521 x 859 x 90481 x 135721 x 12280217041 157 : 289450641941273985495088042104137 = 313 x 11617 x 7636481 x 10424204306491346737 158 : 468340976726457153752543329995929 = 157 x 92180471494753 x 32361122672259149 159 : 757791618667731139247631372100066 = 2 x 317 x 953 x 55945741 x 97639037 x 229602768949 160 : 1226132595394188293000174702095995 = 3 x 5 x 7 x 11 x 41 x 47 x 1601 x 2161 x 2207 x 3041 x 23725145626561 161 : 1983924214061919432247806074196061 = 13 x 8693 x 28657 x 612606107755058997065597 162 : 3210056809456107725247980776292056 = 23 x 17 x 19 x 53 x 109 x 2269 x 3079 x 4373 x 5779 x 19441 x 62650261 163 : 5193981023518027157495786850488117 = 977 x 4892609 x 33365519393 x 32566223208133 164 : 8404037832974134882743767626780173 = 3 x 163 x 2789 x 59369 x 800483 x 350207569 x 370248451 165 : 13598018856492162040239554477268290 = 2 x 5 x 61 x 89 x 661 x 19801 x 86461 x 474541 x 518101 x 900241 166 : 22002056689466296922983322104048463 = 35761381 x 6202401259 x 99194853094755497 167 : 35600075545958458963222876581316753 = 18104700793 x 1966344318693345608565721 168 : 57602132235424755886206198685365216 = 25 x 32 x 72 x 13 x 23 x 29 x 83 x 167 x 211 x 281 x 421 x 1427 x 14503 x 65740583 169 : 93202207781383214849429075266681969 = 233 x 337 x 89909 x 104600155609 x 126213229732669 170 : 150804340016807970735635273952047185 = 5 x 11 x 1597 x 3571 x 9521 x 1158551 x 12760031 x 3415914041 171 : 244006547798191185585064349218729154 = 2 x 17 x 37 x 113 x 797 x 6841 x 54833 x 5741461760879844361 172 : 394810887814999156320699623170776339 = 3 x 6709 x 144481 x 433494437 x 313195711516578281 173 : 638817435613190341905763972389505493 = 1639343785721 x 389678749007629271532733 174 : 1033628323428189498226463595560281832 = 23 x 59 x 173 x 349 x 19489 x 514229 x 947104099 x 3821263937 175 : 1672445759041379840132227567949787325 = 52 x 13 x 701 x 3001 x 141961 x 17231203730201189308301 176 : 2706074082469569338358691163510069157 = 3 x 7 x 43 x 47 x 89 x 199 x 263 x 307 x 881 x 967 x 93058241 x 562418561 177 : 4378519841510949178490918731459856482 = 2 x 353 x 2191261 x 805134061 x 1297027681 x 2710260697 178 : 7084593923980518516849609894969925639 = 179 x 1069 x 1665088321800481 x 22235502640988369 179 : 11463113765491467695340528626429782121 = 21481 x 156089 x 3418816640903898929534613769 180 : 18547707689471986212190138521399707760 = 24 x 33 x 5 x 11 x 17 x 19 x 31 x 41 x 61 x 107 x 181 x 541 x 2521 x 109441 x 10783342081 181 : 30010821454963453907530667147829489881 = 8689 x 422453 x 8175789237238547574551461093 182 : 48558529144435440119720805669229197641 = 132 x 29 x 233 x 521 x 741469 x 159607993 x 689667151970161 183 : 78569350599398894027251472817058687522 = 2 x 1097 x 4513 x 555003497 x 14297347971975757800833 184 : 127127879743834334146972278486287885163 = 3 x 7 x 139 x 461 x 4969 x 28657 x 253367 x 275449 x 9506372193863 185 : 205697230343233228174223751303346572685 = 5 x 73 x 149 x 2221 x 1702945513191305556907097618161 186 : 332825110087067562321196029789634457848 = 23 x 557 x 2417 x 63799 x 3010349 x 35510749 x 4531100550901 187 : 538522340430300790495419781092981030533 = 89 x 373 x 1597 x 10157807305963434099105034917037 188 : 871347450517368352816615810882615488381 = 3 x 563 x 5641 x 2971215073 x 6643838879 x 4632894751907 189 : 1409869790947669143312035591975596518914 = 2 x 13 x 17 x 53 x 109 x 421 x 38933 x 35239681 x 955921950316735037 190 : 2281217241465037496128651402858212007295 = 5 x 11 x 37 x 113 x 191 x 761 x 9349 x 29641 x 41611 x 67735001 x 87382901 191 : 3691087032412706639440686994833808526209 = 4870723671313 x 757810806256989128439975793 192 : 5972304273877744135569338397692020533504 = 28 x 32 x 7 x 23 x 47 x 769 x 1087 x 1103 x 2207 x 3167 x 4481 x 11862575248703 193 : 9663391306290450775010025392525829059713 = 9465278929 x 1020930432032326933976826008497 194 : 1563569558016819491057936379021784959321 7 = 193 x 389 x 3299 x 3084989 x 361040209 x 56678557502141579 195 : 2529908688645864568558938918274367865293 0 = 2 x 5 x 61 x 233 x 135721 x 14736206161 x 88999250837499877681 196 : 4093478246662684059616875297296152824614 7 = 3 x 13 x 29 x 97 x 281 x 5881 x 6168709 x 599786069 x 61025309469041 197 : 6623386935308548628175814215570520689907 7 = 15761 x 25795969 x 227150265697 x 717185107125886549 198 : 1071686518197123268779268951286667351452 24 = 23 x 17 x 19 x 89 x 197 x 199 x 991 x 2179 x 9901 x 19801 x 1513909 x 18546805133 199 : 1734025211727978131596850372843719420443 01 = 397 x 436782169201002048261171378550055269633 200 : 2805711729925101400376119324130386771895 25 = 3 x 52 x 7 x 11 x 41 x 101 x 151 x 401 x 2161 x 3001 x 570601 x 9125201 x 5738108801 201 : 4539736941653079531972969696974106192338 26 = 2 x 269 x 5050260704396247169315999021 x 1429913 x 116849 202 : 7345448671578180932349089021104492964233 51 = 809 x 7879 x 743519377 x 770857978613 x 201062946718741 203 : 1188518561323126046432205871807859915657 177 = 13 x 1217 x 514229 x 56470541 x 2586982700656733994659533 204 : 1923063428480944139667114773918309212080 528 = 24 x 32 x 67 x 409 x 919 x 1597 x 3469 x 3571 x 63443 x 6376021 x 66265118449 205 : 3111581989804070186099320645726169127737 705 = 5 x 821 x 2789 x 59369 x 125598581 x 36448117857891321536401 206 : 5034645418285014325766435419644478339818 233 = 619 x 1031 x 519121 x 5644193 x 512119709 x 5257480026438961 207 : 8146227408089084511865756065370647467555 938 = 2 x 17 x 137 x 829 x 18077 x 28657 x 4072353155773627601222196481 208 : 1318087282637409883763219148501512580737 4171 = 3 x 7 x 47 x 103 x 233 x 521 x 3329 x 90481 x 102193207 x 106513889 x 325759201 209 : 2132710023446318334949794755038577327493 0109 = 37 x 89 x 113 x 57314120955051297736679165379998262001 210 : 3450797306083728218713013903540089908230 4280 = 23 x 5 x 11 x 13 x 29 x 31 x 61 x 71 x 211 x 421 x 911 x 21211 x 141961 x 767131 x 8288823481 211 : 5583507329530046553662808658578667235723 4389 = 22504837 x 38490197 x 800972881 x 80475423858449593021 212 : 9034304635613774772375822562118757143953 8669 = 3 x 953 x 1483 x 2969 x 55945741 x 119218851371 x 1076012367720403 213 : 1461781196514382132603863122069742437967 73058 = 2 x 1277 x 6673 x 46165371073 x 185790722054921374395775013 214 : 2365211660075759609841445378281618152363 11727 = 1247833 x 47927441 x 479836483312919 x 8242065050061761 215 : 3826992856590141742445308500351360590330 84785 = 5 x 433494437 x 2607553541 x 67712817361580804952011621 216 : 6192204516665901352286753878632978742693 96512 = 25 x 34 x 7 x 17 x 19 x 23 x 53 x 107 x 109 x 5779 x 6263 x 103681 x 11128427 x 177962167367 217 : 1001919737325604309473206237898433933302 481297 = 13 x 433 x 557 x 2417 x 44269 x 217221773 x 2191174861 x 6274653314021 218 : 1621140188992194444701881625761731807571 877809 = 128621 x 788071 x 827728777 x 593985111211 x 32529675488417 219 : 2623059926317798754175087863660165740874 359106 = 2 x 123953 x 4139537 x 9375829 x 86020717 x 3169251245945843761 220 : 4244200115309993198876969489421897548446 236915 = 3 x 5 x 112 x 41 x 43 x 89 x 199 x 307 x 331 x 661 x 39161 x 474541 x 59996854928656801 221 : 6867260041627791953052057353082063289320 596021 = 233 x 1597 x 203572412497 x 90657498718024645326392940193 222 : 1111146015693778515192902684250396083776 6832936 = 23 x 73 x 149 x 2221 x 4441 x 146521 x 1121101 x 54018521 x 1459000305513721 223 : 1797872019856557710498108419558602412708 7428957 = 4013 x 108377 x 251534189 x 164344610046410138896156070813 224 : 2909018035550336225691011103808998496485 4261893 = 3 x 72 x 13 x 29 x 47 x 223 x 281 x 449 x 2207 x 14503 x 10745088481 x 1154149773784223 225 : 4706890055406893936189119523367600909194 1690850 = 2 x 52 x 17 x 61 x 3001 x 109441 x 230686501 x 11981661982050957053616001 226 : 7615908090957230161880130627176599405679 5952743 = 677 x 272602401466814027129 x 412670427844921037470771 227 : 1232279814636412409806925015054420031487 37643593 = 23609 x 5219534137983025159078847113619467285727 377 228 : 1993870623732135425994938077772079972055 33596336 = 24 x 32 x 37 x 113 x 227 x 229 x 797 x 9349 x 26449 x 54833 x 95419 x 29134601 x 212067587 229 : 3226150438368547835801863092826500003542 71239929 = 457 x 2749 x 40487201 x 132605449901 x 47831560297620361798553 230 : 5220021062100683261796801170598579975598 04836265 = 5 x 11 x 139 x 461 x 1151 x 1381 x 5981 x 28657 x 324301 x 686551 x 2441738887963981 231 : 8446171500469231097598664263425079979140 76076194 = 2 x 13 x 89 x 421 x 19801 x 988681 x 4832521 x 9164259601748159235188401 232 : 1366619256256991435939546543402365995473 880912459 = 3 x 7 x 59 x 347 x 19489 x 299281 x 514229 x 1270083883 x 834428410879506721 233 : 2211236406303914545699412969744873993387 956988653 = 139801 x 25047390419633 x 631484089583693149557829547141 234 : 3577855662560905981638959513147239988861 837901112 = 23 x 17 x 19 x 79 x 233 x 521 x 859 x 29717 x 135721 x 39589685693 x 1052645985555841 235 : 5789092068864820527338372482892113982249 794889765 = 5 x 2971215073 x 389678426275593986752662955603693114561 236 : 9366947731425726508977331996039353971111 632790877 = 3 x 353 x 709 x 8969 x 336419 x 15247723 x 2710260697 x 100049587197598387 237 : 1515603980029054703631570447893146795336 1427680642 = 2 x 157 x 1668481 x 40762577 x 92180471494753 x 7698999052751136773 238 : 2452298753171627354529303647497082192447 3060471519 = 13 x 29 x 239 x 1597 x 3571 x 10711 x 27932732439809 x 159512939815855788121 239 : 3967902733200682058160874095390228987783 4488152161 = 10037 x 62141 x 2228536579597318057 x 28546908862296149233369 240 : 6420201486372309412690177742887311180230 7548623680 = 26 x 32 x 5 x 7 x 11 x 23 x 31 x 41 x 47 x 61 x 241 x 1103 x 1601 x 2161 x 2521 x 3041 x 20641 x 23735900452321 241 : 1038810421957299147085105183827754016801 42036775841 = 11042621 x 7005329677 x 1342874889289644763267952824739273 242 : 1680830570594530088354122958116485134824 49585399521 = 89 x 199 x 97415813466381445596089 x 97420733208491869044199 243 : 2719640992551829235439228141944239151625 91622175362 = 2 x 17 x 53 x 109 x 2269 x 4373 x 19441 x 448607550257 x 16000411124306403070561 244 : 4400471563146359323793351100060724286450 41207574883 = 3 x 4513 x 19763 x 21291929 x 555003497 x 5600748293801 x 24848660119363 245 : 7120112555698188559232579242004963438076 32829750245 = 5 x 13 x 97 x 141961 x 6168709 x 128955073914024460192651484843195641 246 : 1152058411884454788302593034206568772452 674037325128 = 23 x 2789 x 59369 x 4767481 x 370248451 x 7188487771 x 68541957733949701 247 : 1864069667454273644225850958407065116260 306867075373 = 37 x 113 x 233 x 409100738617 x 4677306043367904676926312147328153 248 : 3016128079338728432528443992613633888712 980904400501 = 3 x 7 x 557 x 743 x 2417 x 467729 x 3010349 x 3020733700601 x 33758740830460183 249 : 4880197746793002076754294951020699004973 287771475874 = 2 x 1033043205255409 x 99194853094755497 x 23812215284009787769 250 : 7896325826131730509282738943634332893686 268675876375 = 53 x 11 x 101 x 151 x 251 x 3001 x 112128001 x 28143378001 x 158414167964045700001 251 : 1277652357292473258603703389465503189865 9556447352249 = 582416774750273 x 21937080329465122026187124199656961913 252 : 2067284939905646309531977283828936479234 5825123228624 = 24 x 33 x 13 x 17 x 19 x 29 x 83 x 107 x 211 x 281 x 421 x 1009 x 1427 x 31249 x 1461601 x 35239681 x 764940961 253 : 3344937297198119568135680673294439669100 5381570580873 = 89 x 28657 x 4322114369 x 2201228236641589 x 1378497303338047612061 254 : 5412222237103765877667657957123376148335 1206693809497 = 509 x 5081 x 27941 x 487681 x 13822681 x 19954241 x 5568053048227732210073 255 : 8757159534301885445803338630417815817435 6588264390370 = 2 x 5 x 61 x 1597 x 9521 x 6376021 x 3415914041 x 20778644396941 x 20862774425341 256 : 1416938177140565132347099658754119196577 07794958199867 = 3 x 7 x 47 x 127 x 1087 x 2207 x 4481 x 119809 x 186812208641 x 4698167634523379875583 257 : 2292654130570753676927433521795900778320 64383222590237 = 5653 x 32971978671645905645521 x 1230026721719313471360714649 258 : 3709592307711318809274533180550019974897 72178180790104 = 23 x 257 x 5417 x 6709 x 8513 x 144481 x 308311 x 39639893 x 433494437 x 761882591401 259 : 6002246438282072486201966702345920753218 36561403380341 = 13 x 73 x 149 x 1553 x 2221 x 404656773793 x 3041266742295771985148799223649 260 : 9711838745993391295476499882895940728116 08739584170445 = 3 x 5 x 11 x 41 x 131 x 233 x 521 x 2081 x 3121 x 24571 x 90481 x 14736206161 x 42426476041450801 261 : 1571408518427546378167846658524186148133 445300987550786 = 2 x 17 x 173 x 2089 x 20357 x 36017 x 40193 x 322073 x 514229 x 3821263937 x 6857029027549 262 : 2542592393026885507715496646813780220945 054040571721231 = 1049 x 414988698461 x 5477332620091 x 1066340417491710595814572169 263 : 4114000911454431885883343305337966369078 499341559272017 = 4733 x 93629 x 9283622964639019423529121698442566463089 390281 264 : 6656593304481317393598839952151746590023 553382130993248 = 25 x 32 x 7 x 23 x 43 x 89 x 199 x 263 x 307 x 881 x 967 x 5281 x 9901 x 19801 x 66529 x 152204449 x 261399601 265 : 1077059421593574927948218325748971295910 2052723690265265 = 5 x 953 x 15901 x 55945741 x 2741218753681 x 926918599457468125920827581 266 : 1742718752041706667308102320964145954912 5606105821258513 = 13 x 29 x 37 x 113 x 3457 x 9349 x 42293 x 10694421739 x 2152958650459 x 351301301942501 267 : 2819778173635281595256320646713117250822 7658829511523778 = 2 x 1069 x 122887425153289 x 1665088321800481 x 64455877349703042877309 268 : 4562496925676988262564422967677263205735 3264935332782291 = 3 x 269 x 4021 x 6163 x 116849 x 1429913 x 24994118449 x 201912469249 x 2705622682163 269 : 7382275099312269857820743614390380456558 0923764844306069 = 5381 x 2517975182669813 x 32170944747810641 x 169360439829648789853 270 : 1194477202498925812038516658206764366229 34188700177088360 = 23 x 5 x 11 x 17 x 19 x 31 x 53 x 61 x 109 x 181 x 271 x 541 x 811 x 5779 x 42391 x 109441 x 119611 x 1114769954367361 271 : 1932704712430152797820591019645802411885 15112465021394429 = 449187076348273 x 4302672125258671219517406190935949380585 73 272 : 3127181914929078609859107677852566778114 49301165198482789 = 3 x 7 x 47 x 67 x 1597 x 3571 x 63443 x 23230657239121 x 562627837283291940137654881 273 : 5059886627359231407679698697498369189999 64413630219877218 = 2 x 13 x 13 x 233 x 421 x 135721 x 640457 x 741469 x 159607993 x 1483547330343905886515273 274 : 8187068542288310017538806375350935968114 13714795418360007 = 541721291 x 78982487870939058281 x 19134702400093278081449423917 275 : 1324695516964754142521850507284930515811 378128425638237225 = 52 x 89 x 661 x 3001 x 474541 x 7239101 x 15806979101 x 5527278404454199535821801 276 : 2143402371193585144275731144820024112622 791843221056597232 = 24 x 32 x 137 x 139 x 461 x 691 x 829 x 4969 x 16561 x 18077 x 28657 x 162563 x 275449 x 1485571 x 1043766587 277 : 3468097888158339286797581652104954628434 169971646694834457 = 505471005740691524853293621 x 6861121308187330908986328104917 278 : 5611500259351924431073312796924978741056 961814867751431689 = 277 x 30859 x 253279129 x 2114537501 x 14331800109223159 x 85526722937689093 279 : 9079598147510263717870894449029933369491 131786514446266146 = 2 x 17 x 557 x 2417 x 11717 x 4531100550901 x 594960058508093 x 6279830532252706321 280 : 1469109840686218814894420724595491211054 8093601382197697835 = 3 x 5 x 72 x 11 x 13 x 29 x 41 x 71 x 281 x 911 x 2161 x 14503 x 141961 x 12317523121 x 118021448662479038881 281 : 2377069655437245186681510169498484548003 9225387896643963981 = 174221 x 119468273 x 1142059735200417842620494388293215303693 455057 282 : 3846179496123464001575930894093975759058 7318989278841661816 = 23 x 108289 x 1435097 x 79099591 x 142017737 x 2971215073 x 6643838879 x 139509555271 283 : 6223249151560709188257441063592460307062 6544377175485625797 = 10753 x 825229 x 15791401 x 4441118888488058431632357842986308632648 81 284 : 1006942864768417318983337195768643606612 13863366454327287613 = 3 x 283 x 569 x 6673 x 2820403 x 9799987 x 35537616083 x 46165371073 x 688846502588399 285 : 1629267779924488237809081302127889637318 40407743629812913410 = 2 x 5 x 37 x 61 x 113 x 761 x 797 x 29641 x 54833 x 67735001 x 956734616715046328502480330601 286 : 2636210644692905556792418497896533243930 54271110084140201023 = 89 x 199 x 233 x 521 x 8581 x 1957099 x 2120119 x 1784714380021 x 1929584153756850496621 287 : 4265478424617393794601499800024422881248 94678853713953114433 = 13 x 2789 x 59369 x 1981600710018532677967006925074901845705 01064382201 288 : 6901689069310299351393918297920956125179 48949963798093315456 = 27 x 33 x 7 x 17 x 19 x 23 x 47 x 107 x 769 x 1103 x 2207 x 3167 x 103681 x 10749957121 x 115561578124838522881 289 : 1116716749392769314599541809794537900642 843628817512046429889 = 577 x 1597 x 1733 x 98837 x 101232653 x 106205194357 x 658078658277725444483848541 290 : 1806885656323799249738933639586633513160 792578781310139745345 = 5 x 11 x 59 x 19489 x 514229 x 120196353941 x 1322154751061 x 349619996930737079890201 291 : 2923602405716568564338475449381171413803 636207598822186175234 = 2 x 193 x 389 x 3084989 x 361040209 x 76674415738994499773 x 227993117754975870677 292 : 4730488062040367814077409088967804926964 428786380132325920579 = 3 x 29201 x 151549 x 9375829 x 86020717 x 11899937029 x 37125857850184727260788881 293 : 7654090467756936378415884538348976340768 064993978954512095813 = 64390759997 x 1188693916349728525229520989644761552381 34997314729 294 : 1238457852979730419249329362731678126773 2493780359086838016392 = 23 x 13 x 29 x 97 x 211 x 293 x 421 x 3529 x 65269 x 620929 x 6168709 x 8844991 x 599786069 x 347502052673 295 : 2003866899755424057090917816566575760850 0558774338041350112205 = 5 x 353 x 1181 x 35401 x 75521 x 160481 x 737501 x 2710260697 x 11209692506253906608469121 296 : 3242324752735154476340247179298253887623 3052554697128188128597 = 3 x 7 x 73 x 149 x 2221 x 11987 x 10661921 x 54018521 x 81143477963 x 114087288048701953998401 297 : 5246191652490578533431164995864829648473 3611329035169538240802 = 2 x 17 x 53 x 89 x 109 x 197 x 593 x 4157 x 19801 x 1360418597 x 18546805133 x 12369243068750242280033 298 : 8488516405225733009771412175163083536096 6663883732297726369399 = 110557 x 162709 x 952111 x 4000949 x 4434539 x 85607646594577 x 3263039535803245519 299 : 1373470805771631154320257717102791318457 00275212767467264610201 = 233 x 28657 x 2056992877234275208463485342027139282056 0402848605171521 300 : 2222322446294204455297398934619099672066 66939096499764990979600 = 24 x 32 x 52 x 11 x 31 x 41 x 61 x 101 x 151 x 401 x 601 x 2521 x 3001 x 12301 x 18451 x 570601 x 230686501 x 87129547172401 ... Someone is probably gonna wanna kill me for that :D
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Nov 04, 04
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oh you
teehee
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Nov 04, 04
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Mathmatics is the language of nature... of nature.....
*listens to bassloins 3 and rinses out*
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Nov 04, 04
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bt going to rock it
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Nov 04, 04
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Quote:
You made the problem of forgetting your base cases.... In order to define a fibonacci sequence, you must first define this: F(0) = 1 F(1) = 1 F(n + 2) = F(n + 1) + F(n) | n >=0 (given the universe of integers) Any other math geeks wanna prove that the sum S(n) such that S(n) = F(0) + F(1) + . . . + F(n - 1) + F(n) is equal to F(n + 2) - 1?
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Nov 04, 04
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Almost.
Basis: S(0) = F(0 + 2) - 1 F(0) = F(2) - 1 1 = 2 - 1 1 = 1 // Inductive: Given S(n) = F(n + 2) - 1 Prove S(n + 1) = F(n + 1 + 2) - 1 S(n) + F(n + 1) = F(n + 3) - 1 F(n + 2) - 1 + F(n + 1) = F(n + 3) - 1 Do a little clean up (F(n + 2) + F(n + 1)) - 1 = F(n + 3) - 1 And since our recursive definition of a Fibonacci sequence for any number k | k > 0 says: F(k) + F(k + 1) = F(k + 2) say n + 1 = k, therefore F(n + 1) + F(n + 2) = F(n + 3) Therefore, going back to the original proof: F(n + 3) - 1 = F(n + 3) - 1 // And the important step: Therefore, by the Principle of Mathematical Induction, the proof holds.
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Nov 04, 04
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i remember doing a proof for the fibonacci sequence back in bcit.. i dont remember all the different principles though
proofs are fun!
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