素因数分解結果(追加:Lucas)

ftp://sable.ox.ac.uk//pub/math/
 Subject: 
    Date: 4 Dec 1997 08:36:52 -0000 
    From: yamasaki@kusm.kyoto-u.ac.jp
      To: kc2h-msm@asahi-net.or.jp

/************************************************************************/
/*                                                                      */
/*                      LUCAS NUMBERS                                   */
/*                      0 < N < 500                                     */
/*                                                                      */
/************************************************************************/

N               FACTORS

1   1
2   3
3   2^2
4   7
5   11
6   (2) 3*
7   29
8   47
9   (3) 19
10  (2) 41
11  199
12  (4) 2*.23
13  521
14  (2) 281
15  (3,5) 31
16  2207
17  3571
18  (2,6) 3*.107
19  9349
20  (4) 2161
21  (3,7) 211
22  (2) 43.307
23  139.461
24  (8) 2*.1103
25  (5) 101.151
26  (2) 90481
27  (3,9) 5779
28  (4) 7*.14503
29  59.19489
30  (2,6,10) 2521
31  3010349
32  1087.4481
33  (3,11) 9901
34  (2) 67.63443
35  (5,7) 71.911
36  (4,12) 103681
37  54018521
38  (2) 29134601
39  (3,13) 79.859
40  (8) 1601.3041
41  370248451
42  (2,6) 83.1427
43  6709.144481
44  (4) 263.881.967
45  (3,5,9,15) 181.541
46  (2) 4969.275449
47  6643838879
48  (16) 2*.769.3167
49  (7) 599786069
50  (2,10) 401.570601
51  (3,17) 919.3469
52  (4) 103.102193207
53  119218851371
54  (2,6,18) 3*.1128427
55  (5,11) 11*.331.39161
56  (8) 10745088481
57  (3,19) 229.95419
58  (2,58) 1270083883
59  709.8969.336419
60  (4,12,20) 241.20641
61  5600748293801
62  (2) 3020733700601
63  (3,7,9,21) 1009.31249
64  127.186812208641
65  (5,13) 131.2081.24571
66  (2,6,22) 261399601
67  4021.24994118449
68  (4) 23230657239121
69  (3,23) 691.1485571
70  (2,10,14) 12317523121
71  688846502588399
72  (8,24) 10749957121
73  151549.11899937029
74  (2) 11987.81143477963
75  (3,5,15,25) 12301.18451
76  (4) 1091346396980401
77  (7,11) 229769.9321929
78  (2,6,26) 12280217041
79  32361122672259149
80  (16) 23725145626561
81  (3,9,27) 3079.62650261
82  (2) 163.800483.350207569
83  35761381.6202401259
84  (4,12,28) 167.65740583
85  (5,17) 1158551.12760031
86  (2) 313195711516578281
87  (3,29) 349.947104099
88  (8) 93058241.562418561
89  179.22235502640988369
90  (2,6,10,18,30) 10783342081
91  (7,13) 689667151970161
92  (4) 253367.9506372193863
93  (3,31) 63799.35510749
94  (2) 563.5641.4632894751907
95  (5,19) 191.41611.87382901
96  (32) 2*.11862575248703
97  3299.56678557502141579
98  (2,14) 5881.61025309469041
99  (3,9,11,33) 991.2179.1513909
100 (4,20) 9125201.5738108801
101 809.7879.201062946718741
102 (2,6,34) 409.66265118449
103 619.1031.5257480026438961
104 (8) 3329.106513889.325759201
105 (3,5,7,15,35) 21211.767131
106 (2) 1483.2969.1076012367720403
107 47927441.479836483312919
108 (4,12,36) 6263.177962167367
109 128621.788071.593985111211
110 (2,10,22) 59996854928656801
111 (3,37) 4441.146521.1121101
112 (16) 223.449.1154149773784223
113 412670427844921037470771
114 (2,6,38) 227.26449.212067587
115 (5,23) 1151.5981.324301.686551
116 (4) 299281.834428410879506721
117 (3,9,13,39) 1052645985555841
118 (2) 15247723.100049587197598387
119 (7,17) 239.10711.27932732439809
120 (8,24,40) 23735900452321
121 (11) 97420733208491869044199
122 (2) 19763.21291929.24848660119363
123 (3,41) 4767481.7188487771
124 (4) 743.467729.33758740830460183
125 (5,25) 251.112128001.28143378001
126 (2,6,14,18,42) 1461601.764940961
127 509.5081.487681.13822681.19954241
128 119809.4698167634523379875583
129 (3,43) 308311.761882591401
130 (2,10,26) 3121.42426476041450801
131 1049.414988698461.5477332620091
132 (4,12,44) 5281.66529.152204449
133 (7,19) 10694421739.2152958650459
134 (2) 6163.201912469249.2705622682163
135 (3,5,9,15,27,45) 271.811.42391.119611
136 (8) 562627837283291940137654881
137 541721291.78982487870939058281
138 (2,6,46) 16561.162563.1043766587
139 30859.253279129.14331800109223159
140 (4,20,28) 118021448662479038881
141 (3,47) 79099591.139509555271
142 (2) 283.569.2820403.9799987.35537616083
143 (11,13) 1957099.2120119.1784714380021
144 (16,48) 115561578124838522881
145 (5,29) 120196353941.1322154751061
146 (2) 29201.37125857850184727260788881
147 (3,7,21,49) 65269.620929.8844991
148 (4) 10661921.114087288048701953998401
149 952111.4434539.3263039535803245519
150 (2,6,10,30,50) 601.87129547172401
151 1511.109734721.217533000184835774779
152 (8) 562766385967.2206456200865197103
153 (3,9,17,51) 13159.8293976826829399
154 (2,14,22) 15252467.900164950225760603
155 (5,31) 311.29138888651.823837075741
156 (4,12,52) 1249.94491842183551489
157 39980051.16188856575286517818849171
158 (2) 21803.5924683.14629892449.184715524801
159 (3,53) 785461.4523819299182451
160 (32) 641.878132240443974874201601
161 (7,23) 1289.1917511.965840862268529759
162 (2,6,18,54) 3*.11828620361.6782976947987
163 1043201.6601501.1686454671192230445929
164 (4) 2684571411430027028247905903965201
165 (3,5,11,15,33,55) 51164521.1550853481
166 (2) 6464041.245329617161.10341247759646081
167 766531.103849927693584542320127327909
168 (8,24,56) 115613939510481515041
169 (13) 596107814364089.671040394220849329
170 (2,10,34) 1361.40801.11614654211954032961
171 (3,9,19,57) 19*.162451.1617661.7038398989
172 (4) 126117711915911646784404045944033521
173 78889.6248069.16923049609.171246170261359
174 (2,6,58) 97787.528295667.5639710969
175 (5,7,25,35) 54601.560701.7517651.51636551
176 (16) 1409.6086461133983.319702847642258783
177 (3,59) 10884439.105117617351706859
178 (2) 5280544535667472291277149119296546201
179 359.1066737847220321.66932254279484647441
180 (4,12,20,36,60) 8641.13373763765986881
181 97379.21373261504197751.32242356485644069
182 (2,14,26) 232961.6110578634294886534808481
183 (3,61) 14686239709.533975715909289
184 (8) 367.37309023160481.441720958100381917103
185 (5,37) 265272771839851.2918000731816531
186 (2,6,62) 15917507.859886421593527043
187 (11,17) 1871.905674234408506526265097390431
188 (4) 18049.100769.153037630649666194962091443041
189 (3,7,9,21,27,63) 379.85429.912871.1258740001
190 (2,10,38) 2281.4561.782747561.174795553490801
191 22921.395586472506832921.910257559954057439
192 (64) 2*.383.5662847.6803327.19073614849.186812208641
193 303011.76225351.935527893146187207403151261
194 (2) 195163.4501963.5644065667.2350117027000544947
195 (3,5,13,15,39,65) 1951.2731.866581.37928281
196 (4,28) 7*.3016049.6100804791163473872231629367
197 31498587119111339.4701907222895068350249889
198 (2,6,18,22,66) 11166702227.1076312899454363
199 2389.4503769.36036960414811969810787847118289
200 (8,40) 124001.6996001.3160438834174817356001
201 (3,67) 2686039424221.940094299967491
202 (2) 547497418496144666543167613835090178297001
203 (7,29) 29*.2748232098283374889444289976282269
204 (4,12,68) 1223.470039965023902754923207
205 (5,41) 1231.5741.2170732312961.111359800682371
206 (2) 81163.46235392144586222367191440726672730987
207 (3,9,23,69) 3643684402534298380040912641
208 (16) 7489.45045727.39586709834808244008811690207
209 (11,19) 419.20669776469.2959707364050967146316591
210 (2,6,10,14,30,42,70) 721561.140207234004601
211 33128448586319.3768695026320506495615952689771
212 (4) 250410161.115247030905506311529891723062628161
213 (3,71) 1279.1882921.49258624519847932639
214 (2) 21401.374929.226981241.126192465881.767056342442009
215 (5,43) 431.1291.1721.1266715025281.66163448516461
216 (8,24,72) 3023.19009.447901921.48265838239823
217 (7,31) 18229.125024551.11260169813534893704769219
218 (2) 1307.924503867289824805827159934087885660335843
219 (3,73) 439.12748437199.145282738021003201
220 (4,20,44) 2800076631444853778881663695403201
221 (13,17) 2337127044022973021.3531495042124863863141
222 (2,6,74) 443.55927129.6870470209.8336942267.81143477963
223 209621.191782505151874799799825102831271417475449
224 (32) 2689.4966336310413757728406317515606275329
225 (3,5,9,15,25,45,75) 221401.15608701.3467131047901
226 (2) 6329.2151521.122464427.34040411535767969315747440867
227 39499.5098421.4311537234701.317351386961794678797301
228 (4,12,76) 62929.307826903.65494688793368423
229 6871.104990418946773667410736999685208265866007631
230 (2,10,46) 3116523496881881.2224700455311857347241
231 (3,7,11,21,33,77) 4621.19630381.201562805274601
232 (8) 463.929.12527.277007.43561231976081277978655158673967
233 818757341.6911530261.873757179900549251563653697571
234 (2,6,18,26,78) 467.21529.123944171348849444948627
235 (5,47) 941.6581.8461.119851.842432231.33481417483721
236 (4) 12743.13687.5974828049.2871307447985313921708888731089
237 (3,79) 637293949.399660629491.1027912163389
238 (2,14,34) 75683.3465148147.58351516230584163679868441
239 479.7649.24216191671442408226762026802756956706931169
240 (16,48,80) 281490241.1999653272832963841
241 1156801.4645999.43219877626484550971962471774087607599
242 (2,22) 200872171147.3564873012035809.13253086025993542387
243 (3,9,27,81) 59779.120074026624398979403194983601
244 (4) 487.52471477541626010209.5500902230146438151405489047
245 (5,7,35,49) 491.1471.88972241.4353947431.459807660691
246 (2,6,82) 67031206681.46724505421882309671121
247 (13,19) 383839.768548899.2900839194578436063903816717541
248 (8) 1952755969.73483350528661634941003491044929827858529
249 (3,83) 499.43084912634851.572087591261946589
250 (2,10,50) 1353439001.5465167948001.84817574770589638001
251 15061.170179.712841.15636705475517134545061743537722067281
252 (4,12,28,36,84) 503.4322424761927.571385160581761
253 (11,23) 139.13343097459037867049.439589715274978576995097049
254 (2) 1523.347366417511089201.76252069628164074340107412376147
255 (3,5,15,17,51,85) 1021.53551.95881.162716451241291
256 34303.73327699969.125960894984050328038716298487435392001
257 2107028233569599.125090447782502159.1945042261468790758531
258 (2,6,86) 7772507.73254041816089.258422401920467
259 (7,37) 2591.330666900546898116460968438563218940272271
260 (4,20,52) 21183761.57089761.1932300241.5836312049326721
261 (3,9,29,87) 121645431297608956949367975807331201
262 (2) 523.4239161.854788933334042653924869941395368987034789067
263 1579.924709.2098741.3001949101336686906107454320302466346629
264 (8,24,88) 893844775132847.3068718630789795983
265 (5,53) 1061.17491.124021.7627231.14161601.73872456598219381
266 (2,14,38) 978347.186313849.3336915203.2608509549583653221689
267 (3,89) 3739.1059215940559134586375464519784009
268 (4) 4289.6387083201.532023636345822147038743367122454382963889
269 13451.49098524855733491.290341026883813109.860882346042166879
270 (2,6,10,18,30,54,90) 112315241.100873547420073756574681
271 59621.899179.92206663291.87426439096566323815478492553863521
272 (16) 4470047.7378607647.42848407775681.224189164930816106106049
273 (3,7,13,21,39,91) 1836084445651.1032512153239041931
274 (2) 547.27947.461963939612677343458490143601.86409516719752275209
275 (5,11,25,55) 92401.6982111964759801.964537359154707797801
276 (4,12,92) 23*.3365543.4333249681.18423463609862225329
277 1109.5923369.1003666289.322458613167451.3647646099535497480264359
278 (2) 65609.63749871895972620649953899115136073800470980902829089
279 (3,9,31,93) 2870911.3599504551.3790399876570715374441
280 (8,40,56) 6135922241.164154312001.13264519466034652481
281 20567460049.46415343154434259.55678135331080359350346681814561
282 (2,6,94) 1129.183407723.1568243714391295376547405323
283 1699.252605941501.324238999448153864959724538289151678378314771
284 (4) 32165609929722273666211791549816223828923850302972185505601
285 (3,5,15,19,57,95) 571.32491.2069101.119130001.411677941
286 (2,22,26) 5147.2441129996120243.13092861035652370656608696909281
287 (7,41) 256579.319973431.101731310703289.10635841025639256246541
288 (32,96) 270143.25033626656641.1974737795746080149567
289 (17) 878516651.795954394282744053474161101150396077552743674481
290 (2,10,58) 5801.52201.96281.6854280100961.372961972274566497161
291 (3,97) 5496409.320657355925861.4959318126280687189
292 (4) 839207.121355783.2864461601.4953066392881.1045794092558661358680161
293 287141.59605095029402530487010572214642235677583217188556211631
294 (2,6,14,42,98) 587.1150184101339307.190773791763188929
295 (5,59) 12391.552241.335838031.99979884881.8287296987284891561
296 (8) 15400289.19088449.77894162661647.89311781152481.754276330346432303
297 (3,9,11,27,33,99) 220862269.1369471729429.137096217949680001
298 (2) 222448929009201481.271293387891105049.1048397584307975025515107529
299 (13,23) 599.2233531.1194215681621.143236388738249.40197222522537856361
300 (4,12,20,60,100) 1201.148669201.9602982001.1599014169601
301 (7,43) 39488879317091.1050474234583201.689529693448123842995171
302 (2) 70963651961.95305716283.64119657493918388500959028976916724219027
303 (3,101) 77569.3334819.42669355669.37202043349013064289
304 (16) 607.1823.20063.91807.1156984541407.12441241017224321.52601970578546783
305 (5,61) 86011.30727531.11868899378561.2851671040957030569903401
306 (2,6,18,34,102) 4283.18531361.168778913873539642145017404947
307 1229.11739610117429203651282768407085324070169775523763828726810201
308 (4,28,22) 7872253927.9623520524969002343.1935298980672778761041
309 (3,103) 1270029990781.2216051880587916003268636813231
310 (2,10,62) 180501911066713425499001.911316263659755894779625401
311 34211.2890615644252691924572487628689034423952562309093965400390309
312 (8,24,104) 740687.71467343.252395324361178683936108001
313 258899611203303418721656157249445530046830073044201152332257717521
314 (2) 142934683.976922609704830455114855830649608682719829067966633529507
315 (3,5,7,9,15,21,35,45,63,105) 631.1051224514831.1983000765501001
316 (4) 675607.231900742042861225269632036231770950710877804680654044867543
317 4014648883841.15670596807846410359.28206477527834707033776102306507709
318 (2,6,106) 14627.346656889.57157491464963.116171668216510969
319 (11,29) 625728071.32447179970327852021339607533382691005310445765831
320 (64) 62379555831803099867272961.5079180256659675431743744001
321 (3,107) 809013091.163432894718897814320076670502885071
322 (2,14,46) 643.770867.25154641.163674763583689.8357802723902097130683089
323 (17,19) 111331562323253269.8567112840278893965438720953737489208042629
324 (4,12,36,108) 647.177962167367.173421718166321520831726341471281
325 (5,13,25,65) 3251.843701.3558039391073701.14590556568276009782648851
326 (2) 573005680996120855900783871963.78467630622694196662242013937213314987
327 (3,109) 1358359.802006741.854197389944419638836239
328 (8) 7513601265751126919260420528205646210878820214173976884762475096801
329 (7,47) 659.40419554618353133555809.111337025457586528883498206543931
330 (2,6,10,22,30,66,110) 1321.817081.3666961.606425727941381041
331 526291.54184296181.4386848568249611.11957954590103942275063852978039182929
332 (4) 97607.3542562803359306968528223771202195633542893296819842168040162903
333 (3,9,37,111) 1999.14678641.44566024170973871368464275116992799
334 (2) 821641.7162963.50187047747.14167898020159929481.504752765667203736366779801
335 (5,67) 918229218981115419161903071.10100521408792719066483062311
336 (16,48,112) 18143.416187743.1368322369.1292528726309580481
337 21569.340819559.3651575156022459933890370204120436853816552382514920496951
338 (2,26) 2027.141283.404112157123.478061565712797524641.2892106995173496522201467
339 (3,113) 44607276283528829839.954423225346040964978868549
340 (4,20,68) 5441.897601.17276792316211992881.3834936832404134644974961
341 (11,31) 2729.12959.347821.24968047172542592952969282984682443824284389694771
342 (2,6,18,38,114) 683.20521.47881.6368731219987307.34771655274859450547
343 (7,49) 2094359.1837202669.7197108309638972949020920202934083308037422199
344 (8) 9303823.1403981099723321029379913948641.1269485331398883566721960085614767
345 (3,5,23,15,69,115) 4831.4641631.117169733521.3490125311294161
346 (2) 68520477202692467.9926174206197176782314412625771198320265464117594737043
347 662771.25008386631867389.199187460399042526805980487374118125053459971811841
348 (4,12,116) 56058952425321966662183.1185031046372137517381447
349 81922033248592814089.15360894609285281651561.6868615650726652471695323898169
350 (2,10,14,50,70) 2801.28001.248773766357061401.7358192362316341243805801
351 (3,9,13,27,39,117) 65597689.21104087776648187459376854003284008649
352 (32) 3891324187650256896001.1931734634522754726108707718410439174358483201
353 59242995313457729780510823767354730798286848921481374874264534705573628371
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E-mail : kc2h-msm@asahi-net.or.jp
三島 久典