[原创]k生素数群的数量公式

白新岭 · 发表于 2021-4-28 16:27

k生简化过程及分析
3 V3-(V7-V13)-(V8-V14)-(V9-V13-V14)-V13-V14
3 V4-V7+V13-V10-V11+V13-V13
3 V5-(V8-V14)-(V10-0)-(V12-V14)-V14
3 V6-(V9-V13-V14)-(V11-V13)-(V12-V14)-V14-V13
4 V7-V13
4 V8-V14
4 V9-V13-V14
4 V10
4 V11-V13
4 V12-V14
5 V13
5 V14
k生上边的第一步简化合并同类项
3 V3-V7-V8-V9+V13+V14
3 V4-V7-V10-V11+V13
3 V5-V8-V10-V12+V14
3 V6-V9-V11-V12+V13+V14
4 V7-V13
4 V8-V14
4 V9-V13-V14
4 V10
4 V11-V13
4 V12-V14
5 V13
5 V14
第二步化简过程
对于3生素数，它们减去4生素数正好循环2次，即
减去2倍的（V7+V8+V9+V10+V11+V12），5生素数
正好循环3周，即加3倍的(V13+V14)
对于4生素数，它们减5生素数正好循环3周，即减
3倍的（V13+V14）
对于5生素数，各减一次，（V13+V14）
所以，3生，4生，5生合并最终结果为：
“-V3-V4-V5-V6+2*（V7+V8+V9+V10+V11+V12）-3*
（V13+V14）
”-V7-V8-V9-V10-V11-V12+3*(V13+V14)
"-(V13+V14)
第三步继续合并同类项：
从-V3一直减到-V14，然后补回的V7到V12的2倍，
最终结果为：-V3至-V6（减3生的）+V7至V12（加
4生的）-V13-V14
因为所有3生的求数量公式一致，5生的一致，
只有4生的，有一个特殊，是其他的2倍量，
所以最终归结为：普2生的-4*普3生的+7*普4生的
减-2*邻5生的。
最终获得求二生相邻素数（P，P+14）的数量公式等于：
普二生素数的数量-4*普3生素数的数量+7*普4生素数的数量-2*相邻5生素数的数量
它的3生素数的形式有4种，4生素数的形式有6种，5生素数的形式有2种，连本身在内共计13种素数式形式。

白新岭 · 发表于 2021-4-28 16:37

如果用Y表示一般的k生素数，用X表示k生相邻素数，用大写的G，带括号表示k生素数的数量，用角码n表示k的具体值的话，则上面的叙述公式可表示为：
\((G)_{2X}\)=\((G)_{2Y}\)-4*\((G)_{3Y}\)+7*\((G)_{4Y}\)-2*\((G)_{5X}\)

白新岭 · 发表于 2021-4-28 16:40

获得系数后，用公式求一求数量，看一看与以前程序获得的值比较一下，差距多大。

白新岭 · 发表于 2021-4-28 19:20

主楼系数A=∏\((P-k)*P^{k-1}\over(P-1)^k\)=∏\({1-{k\over P}}\over {(1-{1\over P})^k}\) ,在素数P的2倍小于跨度d时，k需要分析而得，它与k生素数中的k不是同一个值，而是小于P的值；当2P大于跨度d时，这时k即为k生素数中的k值。关键是分析2P≤d时的情况。

白新岭 · 发表于 2021-4-28 19:26

根据上楼提供的系数A的计算式，可以很容易得到同k生素数的系数，它们成有理分式的关系（即有理数的倍，分关系）。

白新岭 · 发表于 2021-4-28 19:49

k生素数是最密的分子分母标准系数跨度为14
2生素数普 1.2 6 5 1.320323721 1.584388465
3生素数普 1.25 5 4 2.858249177 3.572811471
4生素数普 1.333333333 4 3 4.151182551 5.534910068
5生素数普 1.5 3 2 10.13180182 15.19770273
把相应的系数代入公式即得

白新岭 · 发表于 2021-4-28 20:21

本帖最后由白新岭于 2021-4-30 19:17 编辑

10的n次公式值实际值理论-实际差/公式值
4 45 54 9 0.2
5 484 484 0 0
6 4195 4233 38 0.009058403
7 35097 35394 297 0.008462262
在10^5时，公式值（理论值）竟然与实际值完全一致。太神奇了。
原来把实际值与公式值，标记的反了过，今天订正。向大家表示歉意。

白新岭 · 发表于 2021-4-28 20:23

上楼是程序计算出来的实际值与理论值（即公式值）的一个比较，接近程度非常高。

白新岭 · 发表于 2021-4-28 20:25

10的n次幂孪生素数 2生素数14
2 1.0000000000000000E+01 1.2000000000000000E+01
3 4.2000000000000000E+01 5.1000000000000000E+01
4 2.1100000000000000E+02 2.5400000000000000E+02
5 1.2460000000000000E+03 1.4950000000000000E+03
6 8.2450000000000000E+03 9.8940000000000000E+03
7 5.8751000000000000E+04 7.0501000000000000E+04
8 4.4036500000000000E+05 5.2843800000000000E+05
9 3.4253050000000000E+06 4.1103660000000000E+06
10 2.7411416000000000E+07 3.2893699000000000E+07
11 2.2436887700000000E+08 2.6924265200000000E+08
12 1.8705599900000000E+09 2.2446719890000000E+09
13 1.5834599375000000E+10 1.9001519250000000E+10
14 1.3578027409400000E+11 1.6293632891300000E+11
15 1.1772085716450000E+12 1.4126502859740000E+12
16 1.0304193252875000E+13 1.2365031903450000E+13
17 9.0948839425185000E+13 1.0913860731022300E+14
18 8.0867595630286700E+14 9.7041114756344000E+14
19 7.2375185532877100E+15 8.6850222639452600E+15
20 6.5154269844643500E+16 7.8185123813572200E+16
21 5.8962999863525000E+17 7.0755599836229900E+17
22 5.3614438263926200E+18 6.4337325916711400E+18
23 4.8962242900318100E+19 5.8754691480381800E+19
24 4.4890525226612300E+20 5.3868630271934700E+20
25 4.1306547291255500E+21 4.9567856749506500E+21
26 3.8135383951910200E+22 4.5762460742292300E+22
27 3.5315968142302900E+23 4.2379161770763500E+23
28 3.2798124161933500E+24 3.9357748994320200E+24
29 3.0540316545770600E+25 3.6648379854924700E+25
30 2.8507923788462600E+26 3.4209508546155200E+26
31 2.6671901553674200E+27 3.2006281864409000E+27
32 2.5007738057828700E+28 3.0009285669394500E+28
33 2.3494630845299500E+29 2.8193557014359400E+29
34 2.2114832899555500E+30 2.6537799479466600E+30
35 2.0853129413259200E+31 2.5023755295911100E+31
36 1.9696416203973300E+32 2.3635699444768000E+32
37 1.8633357815114200E+33 2.2360029378137000E+33
38 1.7654108539603600E+34 2.1184930247524400E+34
39 1.6750083469385100E+35 2.0100100163262200E+35
40 1.5913769573778700E+36 1.9096523488534400E+36
41 1.5138569002585800E+37 1.8166282803103000E+37
42 1.4418668480970400E+38 1.7302402177164500E+38
43 1.3748929945860600E+39 1.6498715935032800E+39
44 1.3124798564990300E+40 1.5749758277988300E+40
45 1.2542225050904600E+41 1.5050670061085500E+41
46 1.1997599785918600E+42 1.4397119743102400E+42
47 1.1487696749323500E+43 1.3785236099188200E+43
48 1.1009625614484300E+44 1.3211550737381200E+44
49 1.0560790683073100E+45 1.2672948819687700E+45
50 1.0138855563392000E+46 1.2166626676070400E+46
51 9.7417126924923600E+46 1.1690055230990800E+47
52 9.3674569574941400E+47 1.1240948348993000E+48
53 9.0143627978609300E+48 1.0817235357433100E+49
54 8.6808642733465300E+49 1.0417037128015800E+50
55 8.3655376665875900E+50 1.0038645199905100E+51
56 8.0670862585369700E+51 9.6805035102443600E+51
57 7.7843269720176900E+52 9.3411923664212200E+52
58 7.5161786259268500E+53 9.0194143511122200E+53
59 7.2616515818658100E+54 8.7139818982389700E+54
60 7.0198385976822800E+55 8.4238063172187300E+55
61 6.7899067297616700E+56 8.1478880757140100E+56
62 6.5710901488477300E+57 7.8853081786172700E+57
63 6.3626837534754700E+58 7.6352205041705600E+58
64 6.1640374813893900E+59 7.3968449776672600E+59
65 5.9745512331042500E+60 7.1694614797251000E+60
66 5.7936703334636800E+61 6.9524044001564200E+61
67 5.6208814670046700E+62 6.7450577604056000E+62
68 5.4557090314261100E+63 6.5468508377113300E+63
69 5.2977118607201300E+64 6.3572542328641600E+64
70 5.1464802757489900E+65 6.1757763308987900E+65
71 5.0016334253979100E+66 6.0019601104774900E+66
72 4.8628168860402700E+67 5.8353802632483200E+67
73 4.7297004910262800E+68 5.6756405892315300E+68
74 4.6019763653448200E+69 5.5223716384137900E+69
75 4.4793571435880500E+70 5.3752285723056700E+70
76 4.3615743519366900E+71 5.2338892223240300E+71
77 4.2483769371362500E+72 5.0980523245635000E+72
78 4.1395299273981200E+73 4.9674359128777500E+73
79 4.0348132118747700E+74 4.8417758542497200E+74
80 3.9340204268593400E+75 4.7208245122312000E+75
81 3.8369579381756700E+76 4.6043495258108000E+76
82 3.7434439103804300E+77 4.4921326924565100E+77
83 3.6533074544150300E+78 4.3839689452980400E+78
84 3.5663878462407500E+79 4.2796654154889000E+79
85 3.4825338097803000E+80 4.1790405717363600E+80
86 3.4016028581876900E+81 4.0819234298252200E+81
87 3.3234606880859600E+82 3.9881528257031500E+82
88 3.2479806219606000E+83 3.8975767463527200E+83
89 3.1750430943825200E+84 3.8100517132590200E+84
90 3.1045351781670200E+85 3.7254422138004200E+85
91 3.0363501469599600E+86 3.6436201763519500E+86
92 2.9703870710853500E+87 3.5644644853024200E+87
93 2.9065504437949000E+88 3.4878605325538800E+88
94 2.8447498353335700E+89 3.4136998024002800E+89
95 2.7848995724800700E+90 3.3418794869760800E+90
96 2.7269184414406200E+91 3.2723021297287500E+91
97 2.6707294121710000E+92 3.2048752946052000E+92
98 2.6162593823785900E+93 3.1395112588543000E+93
99 2.5634389396150200E+94 3.0761267275380200E+94
100 2.5122021400129800E+95 3.0146425680155800E+95
101 2.4624863023495300E+96 2.9549835628194300E+96
102 2.4142318162344500E+97 2.8970781794813400E+97
103 2.3673819633272800E+98 2.8408583559927300E+98
104 2.3218827505811100E+99 2.7862593006973300E+99
105 2.2776827545976100E+100 2.7332193055171300E+100
106 2.2347329762548600E+101 2.6816795715058400E+101
107 2.1929867048405200E+102 2.6315840458086200E+102
108 2.1523993909864700E+103 2.5828792691837700E+103
109 2.1129285277594100E+104 2.5355142333112900E+104
110 2.0745335393143900E+105 2.4894402471772600E+105
111 2.0371756765666700E+106 2.4446108118800000E+106
112 2.0008179193806500E+107 2.4009815032567800E+107
113 1.9654248848149000E+108 2.3585098617778800E+108
114 1.9309627409983200E+109 2.3171552891979800E+109
115 1.8973991262461000E+110 2.2768789514953200E+110
116 1.8647030730541200E+111 2.2376436876649400E+111
117 1.8328449366384500E+112 2.1994139239661400E+112
118 1.8017963277120000E+113 2.1621555932544000E+113
119 1.7715300492135000E+114 2.1258360590561900E+114
120 1.7420200367255300E+115 2.0904240440706400E+115
121 1.7132413023378400E+116 2.0558895628054000E+116
122 1.6851698817299700E+117 2.0222038580759600E+117
123 1.6577827842641300E+118 1.9893393411169600E+118
124 1.6310579458940300E+119 1.9572695350728400E+119
125 1.6049741847095800E+120 1.9259690216515000E+120
126 1.5795111589502000E+121 1.8954133907402500E+121
127 1.5546493273313100E+122 1.8655791927975700E+122
128 1.5303699115394200E+123 1.8364438938473000E+123
129 1.5066548607615100E+124 1.8079858329138100E+124
130 1.4834868181234800E+125 1.7801841817481700E+125
131 1.4608490889211100E+126 1.7530189067053300E+126
132 1.4387256105350900E+127 1.7264707326421100E+127
133 1.4171009239286900E+128 1.7005211087144300E+128
134 1.3959601466337400E+129 1.6751521759604900E+129
135 1.3752889471367000E+130 1.6503467365640400E+130
136 1.3550735205825600E+131 1.6260882246990800E+131
137 1.3353005657196000E+132 1.6023606788635200E+132
138 1.3159572630130600E+133 1.5791487156156700E+133
139 1.2970312538606300E+134 1.5564375046327600E+134
140 1.2785106208466600E+135 1.5342127450159900E+135
141 1.2603838689762400E+136 1.5124606427714800E+136
142 1.2426399078340100E+137 1.4911678894008200E+137
143 1.2252680346159700E+138 1.4703216415391600E+138
144 1.2082579179856900E+139 1.4499095015828300E+139
145 1.1915995827096900E+140 1.4299194992516300E+140
146 1.1752833950290900E+141 1.4103400740349100E+141
147 1.1593000487275800E+142 1.3911600584730900E+142
148 1.1436405518581100E+143 1.3723686622297300E+143
149 1.1282962140928600E+144 1.3539554569114300E+144
150 1.1132586346633600E+145 1.3359103615960400E+145
151 1.0985196908594100E+146 1.3182236290312900E+146
152 1.0840715270574500E+147 1.3008858324689400E+147
153 1.0699065442507600E+148 1.2838878531009100E+148
154 1.0560173900553000E+149 1.2672208680663600E+149
155 1.0423969491667900E+150 1.2508763390001500E+150
156 1.0290383342457800E+151 1.2348460010949400E+151
157 1.0159348772090000E+152 1.2191218526508000E+152
158 1.0030801209063500E+153 1.2036961450876200E+153
159 9.9046781116424700E+153 1.1885613733971000E+154
160 9.7809188917686100E+154 1.1737102670122300E+155
161 9.6594648422809300E+155 1.1591357810737100E+156
162 9.5402590672790000E+156 1.1448310880734800E+157
163 9.4232464154757600E+157 1.1307895698570900E+158
164 9.3083734163938800E+158 1.1170048099672700E+159
165 9.1955882192679700E+159 1.1034705863121600E+160
166 9.0848405345223200E+160 1.0901808641426800E+161
167 8.9760815777007100E+161 1.0771297893240900E+162
168 8.8692640157317000E+162 1.0643116818878000E+163
169 8.7643419154187700E+163 1.0517210298502500E+164
170 8.6612706940507800E+164 1.0393524832860900E+165
171 8.5600070720334000E+165 1.0272008486440100E+166
172 8.4605090274477500E+166 1.0152610832937300E+167
173 8.3627357524469900E+167 1.0035282902936400E+168
174 8.2666476114065400E+168 9.9199771336878500E+168
175 8.1722061007476400E+169 9.8066473208971700E+169
176 8.0793738103583000E+170 9.6952485724299600E+170
177 7.9881143865395100E+171 9.5857372638474100E+171
178 7.8983924964080300E+172 9.4780709956896300E+172
179 7.8101737936908600E+173 9.3722085524290400E+173
180 7.7234248858494500E+174 9.2681098630193400E+174
181 7.6381133024749000E+175 9.1657359629698800E+175
182 7.5542074648983300E+176 9.0650489578779900E+176
183 7.4716766569633600E+177 8.9660119883560300E+177
184 7.3904909969100500E+178 8.8685891962920600E+178
185 7.3106214103224500E+179 8.7727456923869400E+179
186 7.2320396040938000E+180 8.6784475249125500E+180
187 7.1547180413660400E+181 8.5856616496392400E+181
188 7.0786299174021600E+182 8.4943559008826000E+182
189 7.0037491363518400E+183 8.4044989636222000E+183
190 6.9300502888727200E+184 8.3160603466472600E+184
191 6.8575086305717800E+185 8.2290103566861400E+185
192 6.7861000612322800E+186 8.1433200734787400E+186
193 6.7158011047939800E+187 8.0589613257527700E+187
194 6.6465888900554300E+188 7.9759066680665100E+188
195 6.5784411320688800E+189 7.8941293584826600E+189
196 6.5113361141993600E+190 7.8136033370392400E+190
197 6.4452526708210900E+191 7.7343032049853100E+191
198 6.3801701706254300E+192 7.6562042047505100E+192
199 6.3160685005158400E+193 7.5792822006190000E+193
200 6.2529280500663100E+194 7.5035136600795700E+194
201 6.1907296965209000E+195 7.4288756358250800E+195
202 6.1294547903129200E+196 7.3553457483755100E+196
203 6.0690851410833000E+197 7.2829021692999600E+197
204 6.0096030041785700E+198 7.2115236050142800E+198
205 5.9509910676097900E+199 7.1411892811317400E+199
206 5.8932324394544300E+200 7.0718789273453100E+200
207 5.8363106356842000E+201 7.0035727628210400E+201
208 5.7802095684023600E+202 6.9362514820828400E+202
209 5.7249135344749200E+203 6.8698962413699000E+203
210 5.6704072045406100E+204 6.8044886454487300E+204
211 5.6166756123854600E+205 6.7400107348625500E+205
212 5.5637041446680300E+206 6.6764449736016300E+206
213 5.5114785309822200E+207 6.6137742371786600E+207
214 5.4599848342450800E+208 6.5519818010940900E+208
215 5.4092094413974200E+209 6.4910513296769000E+209
216 5.3591390544057700E+210 6.4309668652869300E+210
217 5.3097606815544800E+211 6.3717128178653800E+211
218 5.2610616290173500E+212 6.3132739548208200E+212
219 5.2130294926985800E+213 6.2556353912383000E+213
220 5.1656521503333000E+214 6.1987825803999600E+214
221 5.1189177538381700E+215 6.1427013046058100E+215
222 5.0728147219031800E+216 6.0873776662838200E+216
223 5.0273317328158600E+217 6.0327980793790300E+217
224 4.9824577175097300E+218 5.9789492610116800E+218
225 4.9381818528289300E+219 5.9258182233947200E+219
226 4.8944935550014300E+220 5.8733922660017200E+220
227 4.8513824733134200E+221 5.8216589679761100E+221
228 4.8088384839779100E+222 5.7706061807734900E+222
229 4.7668516841906000E+223 5.7202220210287200E+223
230 4.7254123863667800E+224 5.6704948636401300E+224
231 4.6845111125526100E+225 5.6214133350631400E+225
232 4.6441385890051900E+226 5.5729663068062200E+226
233 4.6042857409352200E+227 5.5251428891222600E+227
234 4.5649436874070700E+228 5.4779324248884900E+228
235 4.5261037363906100E+229 5.4313244836687300E+229
236 4.4877573799597500E+230 5.3853088559517000E+230
237 4.4498962896329100E+231 5.3398755475594900E+231
238 4.4125123118502800E+232 5.2950147742203300E+232
239 4.3755974635837200E+233 5.2507169563004600E+233
240 4.3391439280745200E+234 5.2069727136894300E+234
241 4.3031440506950300E+235 5.1637728608340400E+235
242 4.2675903349298700E+236 5.1211084019158500E+236
243 4.2324754384729800E+237 5.0789705261675800E+237
244 4.1977921694365200E+238 5.0373506033238200E+238
245 4.1635334826681100E+239 4.9962401792017300E+239
246 4.1296924761728500E+240 4.9556309714074100E+240
247 4.0962623876366500E+241 4.9155148651639800E+241
248 4.0632365910477500E+242 4.8758839092573000E+242
249 4.0306085934131300E+243 4.8367303120957500E+243
250 3.9983720315668500E+244 4.7980464378802200E+244
251 3.9665206690674200E+245 4.7598248028809000E+245
252 3.9350483931812600E+246 4.7220580718175200E+246
253 3.9039492119497100E+247 4.6847390543396500E+247
254 3.8732172513366800E+248 4.6478607016040200E+248
255 3.8428467524547900E+249 4.6114161029457400E+249
256 3.8128320688671500E+250 4.5753984826405900E+250

白新岭 · 发表于 2021-4-28 20:27

10的n次幂 3生素数14 4生素数14
2 6.0000000000000000E+00 1.0000000000000000E+00
3 2.0000000000000000E+01 4.0000000000000000E+00
4 7.6000000000000000E+01 1.5000000000000000E+01
5 3.3800000000000000E+02 5.3000000000000000E+01
6 1.7960000000000000E+03 2.2700000000000000E+02
7 1.0728000000000000E+04 1.1340000000000000E+03
8 6.9352000000000000E+04 6.2960000000000000E+03
9 4.7474200000000000E+05 3.7845000000000000E+04
10 3.3941050000000000E+06 2.4141600000000000E+05
11 2.5112061000000000E+07 1.6132590000000000E+06
12 1.9103823600000000E+08 1.1192758000000000E+07
13 1.4872041720000000E+09 8.0100600000000000E+07
14 1.1804865406000000E+10 5.8838786500000000E+08
15 9.5272244358000000E+10 4.4194021660000000E+09
16 7.8003164297000000E+11 3.3839268857000000E+10
17 6.4671097275070000E+12 2.6349665752600000E+11
18 5.4214244138677000E+13 2.0823632493330000E+12
19 4.5896965151933000E+14 1.6674134576665000E+13
20 3.9198547528510600E+15 1.3509196479814900E+14
21 3.3743327272937900E+16 1.1061174521823900E+15
22 2.9255630758660600E+17 9.1436344770859000E+15
23 2.5530037162967900E+18 7.6243580482246900E+16
24 2.2411338620238500E+19 6.4080417657441500E+17
25 1.9780778837144800E+20 5.4249693122937500E+18
26 1.7546440236282100E+21 4.6234501583154700E+19
27 1.5636423539041600E+22 3.9646825814185800E+20
28 1.3993939057516600E+23 3.4192070316848500E+21
29 1.2573727206420300E+24 2.9644209498092700E+22
30 1.1339416516427900E+25 2.5828134095044600E+23
31 1.0261551644031500E+26 2.2606951386919900E+24
32 9.3161060862211400E+26 1.9872741311752100E+25
33 8.4833495536500600E+27 1.7539754208002900E+26
34 7.7469776053383400E+28 1.5539354025099300E+27
35 7.0934371438718300E+29 1.3816223136103600E+28
36 6.5113995401169500E+30 1.2325488456258900E+29
37 5.9913460025159700E+31 1.1030526888999100E+30
38 5.5252389858388500E+32 9.9012762431491100E+30
39 5.1062600605145700E+33 8.9129254876154000E+31
40 4.7285994921908900E+34 8.0448919897241200E+32
41 4.3872863312654600E+35 7.2800175286694500E+33
42 4.0780504443930700E+36 6.6039322941522800E+34
43 3.7972098873376600E+37 6.0045487563390700E+35
44 3.5415785001184000E+38 5.4716565946009500E+36
45 3.3083897291839100E+39 4.9965967512998100E+37
46 3.0952335395778200E+40 4.5719978021801900E+38
47 2.9000039397522500E+41 4.1915616808797200E+39
48 2.7208551519162500E+42 3.8498887005903400E+40
49 2.5561648577705700E+43 3.5423340251362700E+41
50 2.4045032600665500E+44 3.2648894319091000E+42
51 2.2646069447429200E+45 3.0140855097937900E+43
52 2.1353567215715200E+46 2.7869104418308600E+44
53 2.0157587747419500E+47 2.5807423055892700E+45
54 1.9049285773629900E+48 2.3932924367992300E+46
55 1.8020771221419600E+49 2.2225578832774700E+47
56 1.7064990996697900E+50 2.0667813564290400E+48
57 1.6175627197761000E+51 1.9244173892891200E+49
58 1.5347009234255600E+52 1.7941036504672300E+50
59 1.4574037750275000E+53 1.6746365557345800E+51
60 1.3852118597301800E+54 1.5649504735753900E+52
61 1.3177105387690100E+55 1.4640999457199600E+53
62 1.2545249394255200E+56 1.3712444446504000E+54
63 1.1953155755757300E+57 1.2856352721330800E+55
64 1.1397745109195200E+58 1.2066042697616500E+56
65 1.0876219903918400E+59 1.1335540672690800E+57
66 1.0386034764493600E+60 1.0659496393424400E+58
67 9.9248703629697700E+60 1.0033109787210900E+59
68 9.4906103398560000E+61 9.4520672396975100E+59
69 9.0813208793538600E+62 8.9124860568700300E+60
70 8.6952326002931400E+63 8.4108659599530700E+61
71 8.3307244715287000E+64 7.9440466373367100E+62
72 7.9863095006949500E+65 7.5091705246298300E+63
73 7.6606219793508300E+66 7.1036501070325100E+64
74 7.3524060966476000E+67 6.7251391416376800E+65
75 7.0605057585151100E+68 6.3715072843756700E+66
76 6.7838554706536900E+69 6.0408176798580900E+67
77 6.5214721618896500E+70 5.7313071346159500E+68
78 6.2724478401657500E+71 5.4413685470207900E+69
79 6.0359429869784300E+72 5.1695353120590800E+70
80 5.8111806077651300E+73 4.9144674573692500E+71
81 5.5974408658598100E+74 4.6749392995980500E+72
82 5.3940562364020800E+75 4.4498284380650600E+73
83 5.2004071241981000E+76 4.2381059266690400E+74
84 5.0159178961541700E+77 4.0388274855373000E+75
85 4.8400532846752300E+78 3.8511256316190500E+76
86 4.6723151234581500E+79 3.6742026226849100E+77
87 4.5122393815147000E+80 3.5073241223754100E+78
88 4.3593934651170000E+81 3.3498135053475700E+79
89 4.2133737607420500E+82 3.2010467314543700E+80
90 4.0738033950648100E+83 3.0604477264753400E+81
91 3.9403301906655300E+84 2.9274842143815600E+82
92 3.8126247984213100E+85 2.8016639526203100E+83
93 3.6903789895863300E+86 2.6825313275778000E+84
94 3.5733040923621600E+87 2.5696642723350200E+85
95 3.4611295593502300E+88 2.4626714731697100E+86
96 3.3536016536876300E+89 2.3611898350586200E+87
97 3.2504822429179000E+90 2.2648821797708500E+88
98 3.1515476907591600E+91 2.1734351530752900E+89
99 3.0565878379201500E+92 2.0865573201654800E+90
100 2.9654050639946100E+93 2.0039774306798300E+91
101 2.8778134232493500E+94 1.9254428367019200E+92
102 2.7936378478215600E+95 1.8507180488984500E+93
103 2.7127134124673000E+96 1.7795834175218000E+94
104 2.6348846555633700E+97 1.7118339263931900E+95
105 2.5600049515663700E+98 1.6472780892151500E+96
106 2.4879359305831800E+99 1.5857369386561200E+97
107 2.4185469411107800E+100 1.5270430996228600E+98
108 2.3517145523667500E+101 1.4710399390021200E+99
109 2.2873220929582800E+102 1.4175807849240600E+100
110 2.2252592229314800E+103 1.3665282092886100E+101
111 2.1654215365084500E+104 1.3177533679094600E+102
112 2.1077101930581600E+105 1.2711353931802300E+103
113 2.0520315740637900E+106 1.2265608346584600E+104
114 1.9982969640441200E+107 1.1839231434030600E+105
115 1.9464222535635100E+108 1.1431221962958500E+106
116 1.8963276626250000E+109 1.1040638569317200E+107
117 1.8479374828860100E+110 1.0666595699802900E+108
118 1.8011798372679500E+111 1.0308259862079200E+109
119 1.7559864556503200E+112 9.9648461560661200E+109
120 1.7122924654487100E+113 9.6356150630833400E+110
121 1.6700361959746400E+114 9.3198694717226800E+111
122 1.6291589955653600E+115 9.0169519212161000E+112
123 1.5896050605533100E+116 8.7262420447684600E+113
124 1.5513212752199800E+117 8.4471541968671400E+114
125 1.5142570619466900E+118 8.1791352499752000E+115
126 1.4783642408372500E+119 7.9216625472784000E+116
127 1.4435968981442500E+120 7.6742419993008400E+117
128 1.4099112628826000E+121 7.4364063132428400E+118
129 1.3772655910617500E+122 7.2077133448372500E+119
130 1.3456200570111600E+123 6.9877445633763700E+120
131 1.3149366513141700E+124 6.7761036213408900E+121
132 1.2851790849011800E+125 6.5724150207698700E+122
133 1.2563126988874400E+126 6.3763228691563100E+123
134 1.2283043797710800E+127 6.1874897182400000E+124
135 1.2011224796355400E+128 6.0055954796056500E+125
136 1.1747367410265600E+129 5.8303364114827000E+126
137 1.1491182261980300E+130 5.6614241715901000E+127
138 1.1242392504427000E+131 5.4985849312768800E+128
139 1.1000733192446200E+132 5.3415585465825500E+129
140 1.0765950690083800E+133 5.1900977821822600E+130
141 1.0537802111377900E+134 5.0439675844945600E+131
142 1.0316054792527500E+135 4.9029444005152700E+132
143 1.0100485793472500E+136 4.7668155392036700E+133
144 9.8908814270567900E+136 4.6353785724877900E+134
145 9.6870368140675200E+137 4.5084407731764200E+135
146 9.4887554625621100E+138 4.3858185872684400E+136
147 9.2958488700014200E+139 4.2673371383363000E+137
148 9.1081361468075700E+140 4.1528297618322200E+138
149 8.9254436600573600E+141 4.0421375673229700E+139
150 8.7476046961073600E+142 3.9351090268047000E+140
151 8.5744591410267800E+143 3.8315995873826900E+141
152 8.4058531777873500E+144 3.7314713067243400E+142
153 8.2416389992284300E+145 3.6345925098072500E+143
154 8.0816745358784100E+146 3.5408374655891200E+144
155 7.9258231977732300E+147 3.4500860823230800E+145
156 7.7739536294672900E+148 3.3622236203312100E+146
157 7.6259394774830500E+149 3.2771404211320300E+147
158 7.4816591694935900E+150 3.1947316518935400E+148
159 7.3409957045761500E+151 3.1148970642547400E+149
160 7.2038364539160800E+152 3.0375407666232700E+150
161 7.0700729713792800E+153 2.9625710091177600E+151
162 6.9396008134064200E+154 2.8898999803795800E+152
163 6.8123193677163900E+155 2.8194436155304000E+153
164 6.6881316903369600E+156 2.7511214146004100E+154
165 6.5669443505100400E+157 2.6848562707967200E+155
166 6.4486672830461100E+158 2.6205743080228700E+156
167 6.3332136477276400E+159 2.5582047270991600E+157
168 6.2204996953852400E+160 2.4976796601689900E+158
169 6.1104446402921700E+161 2.4389340328100400E+159
170 6.0029705385441200E+162 2.3819054333998000E+160
171 5.8980021721100100E+163 2.3265339893138700E+161
172 5.7954669382581300E+164 2.2727622495622400E+162
173 5.6952947440789300E+165 2.2205350734937700E+163
174 5.5974179058417200E+166 2.1697995252220600E+164
175 5.5017710529372700E+167 2.1205047734480100E+165
176 5.4082910361728600E+168 2.0726019963740500E+166
177 5.3169168401989100E+169 2.0260442914243500E+167
178 5.2275894998590800E+170 1.9807865895023100E+168
179 5.1402520202672100E+171 1.9367855735337600E+169
180 5.0548493004251700E+172 1.8939996010587100E+170
181 4.9713280602064200E+173 1.8523886306497500E+171
182 4.8896367705389400E+174 1.8119141519477300E+172
183 4.8097255866310700E+175 1.7725391191183700E+173
184 4.7315462840915900E+176 1.7342278875448900E+174
185 4.6550521978038200E+177 1.6969461535827800E+175
186 4.5801981634208100E+178 1.6606608972130400E+176
187 4.5069404613559100E+179 1.6253403274396900E+177
188 4.4352367631495500E+180 1.5909538302864400E+178
189 4.3650460800995100E+181 1.5574719192558600E+179
190 4.2963287140476100E+182 1.5248661881220600E+180
191 4.2290462102217300E+183 1.4931092659353400E+181
192 4.1631613120369600E+184 1.4621747741244700E+182
193 4.0986379177647300E+185 1.4320372855882600E+183
194 4.0354410389837200E+186 1.4026722856745600E+184
195 3.9735367607303600E+187 1.3740561349504800E+185
196 3.9128922032711400E+188 1.3461660336727500E+186
197 3.8534754854229700E+189 1.3189799878726500E+187
198 3.7952556893512500E+190 1.2924767769741300E+188
199 3.7382028267791100E+191 1.2666359228686900E+189
200 3.6822878065445000E+192 1.2414376603744500E+190
201 3.6274824034449200E+193 1.2168629090110300E+191
202 3.5737592283125700E+194 1.1928932460252500E+192
203 3.5210916992655000E+195 1.1695108806065700E+193
204 3.4694540140831400E+196 1.1466986292341300E+194
205 3.4188211236568100E+197 1.1244398921004800E+195
206 3.3691687064685300E+198 1.1027186305600400E+196
207 3.3204731440534200E+199 1.0815193455530400E+197
208 3.2727114974033600E+200 1.0608270569582600E+198
209 3.2258614842713000E+201 1.0406272838303400E+199
210 3.1799014573380600E+202 1.0209060254798300E+200
211 3.1348103832044800E+203 1.0016497433561200E+201
212 3.0905678221744200E+204 9.8284534369567600E+201
213 3.0471539087949300E+205 9.6448016089979900E+202
214 3.0045493331220600E+206 9.4654194160793400E+203
215 2.9627353226819000E+207 9.2901882943441700E+204
216 2.9216936250979800E+208 9.1189935033805200E+205
217 2.8814064913575100E+209 8.9517239859549800E+206
218 2.8418566596900600E+210 8.7882722335092200E+207
219 2.8030273400336800E+211 8.6285341571572100E+208
220 2.7649021990644100E+212 8.4724089639342400E+209
221 2.7274653457663700E+213 8.3197990380614900E+210
222 2.6907013175204700E+214 8.1706098270009500E+211
223 2.6545950666909600E+215 8.0247497320872700E+212
224 2.6191319476898400E+216 7.8821300035329000E+213
225 2.5842977044999800E+217 7.7426646396131800E+214
226 2.5500784586388600E+218 7.6062702898473900E+215
227 2.5164606975454800E+219 7.4728661620003400E+216
228 2.4834312633736200E+220 7.3423739327379100E+217
229 2.4509773421757300E+221 7.2147176617775800E+218
230 2.4190864534620900E+222 7.0898237093828500E+219
231 2.3877464401207100E+223 6.9676206570572200E+220
232 2.3569454586838800E+224 6.8480392313007700E+221
233 2.3266719699281800E+225 6.7310122302981600E+222
234 2.2969147297951300E+226 6.6164744534136600E+223
235 2.2676627806200500E+227 6.5043626333739900E+224
236 2.2389054426576500E+228 6.3946153710259500E+225
237 2.2106323058929400E+229 6.2871730725602800E+226
238 2.1828332221267900E+230 6.1819778890989600E+227
239 2.1554982973257600E+231 6.0789736585473100E+228
240 2.1286178842263200E+232 5.9781058496168900E+229
241 2.1021825751840200E+233 5.8793215079297200E+230
242 2.0761831952585500E+234 5.7825692041180200E+231
243 2.0506107955258000E+235 5.6877989838377700E+232
244 2.0254566466088300E+236 5.5949623196180100E+233
245 2.0007122324194800E+237 5.5040120644712900E+234
246 1.9763692441031000E+238 5.4149024071938800E+235
247 1.9524195741789400E+239 5.3275888292877900E+236
248 1.9288553108691100E+240 5.2420280634393800E+237
249 1.9056687326093700E+241 5.1581780534922800E+238
250 1.8828523027351400E+242 5.0759979158552200E+239
251 1.8603986643365100E+243 4.9954479022877800E+240
252 1.8383006352762200E+244 4.9164893640095200E+241
253 1.8165512033648600E+245 4.8390847170806300E+242
254 1.7951435216876200E+246 4.7631974090039900E+243
255 1.7740709040774000E+247 4.6887918865011400E+244
256 1.7533268207290200E+248 4.6158335644164200E+245

		自动登录	找回密码
密码			注册