存在等差k生素数公差d最小值使它中的素数之和遍历偶数

白新岭 · 发表于 2019-7-19 18:15

偶数
2
4
6
8
10
12
14
16
18
20
22
24
28
30
34
40
44
50
56
62
68
74
92
98
104
110
128
136
152
158
164
182
188
200
248
272
288
296
308
318
320
362
374
392
442
498
506
572
584
598
652
694
752
754
782
806
992
1184
1492
1628
1832
1942
1984
2008
2194
2224
2542
2588
2652
2654
2672
2786
2794
3130
4058
4364
4436
4646
4868
4984
5228
5528
5738
6088
6208
8332
11158
15944
18316
19486
21662
21872
24674
28472
42736
76208
118718
这是用等差3生素数(210)中的第一类素数不能合成的偶数，总共不到100个，最后一个出现值为118718，也就是说此偶数以后再无反例。

白新岭 · 发表于 2019-7-19 18:21

本帖最后由白新岭于 2019-7-20 02:13 编辑

如果用第二类素数，则420以前的偶数无解，大于420的偶数减420与上楼偶数一致的无解；
同理，用第三类偶数则840以前的偶数无解，大于840的偶数减840与上楼偶数一致的无解.

白新岭 · 发表于 2019-7-19 18:23

本帖最后由白新岭于 2019-7-20 02:14 编辑

三类素数都用上，则无解偶数应该减少。

白新岭 · 发表于 2019-7-19 19:47

偶数
2
4
6
8
10
12
14
16
18
20
22
24
28
30
34
40
44
50
56
62
68
74
92
98
104
110
128
136
152
158
164
182
188
200
272
308
320
362
374
392
572
584
782
992
如果等差3生素数210中的素数全部参与运算，则只有上述44个偶数无素数对，已达到二生素数的水平，所以等差k生素数中的公差d直接影响不能合成偶数的数量。
此命题可以表述为：大于1000的偶数都可以表示成等差3生素数210中的素数之和。
它比起哥德巴赫猜想要难几个等级。但是平现在的，将来的，你都不可能找到反例。

白新岭 · 发表于 2019-7-20 15:35

等差3生素数210的最终系数=17.1494868441693

白新岭 · 发表于 2019-7-20 15:42

n(10的次幂）等差3生素数210的数量
2 2.800000000000000000E+01
3 9.700000000000000000E+01
4 3.650000000000000000E+02
5 1.623000000000000000E+03
6 8.622000000000000000E+03
7 5.149700000000000000E+04
8 3.328930000000000000E+05
9 2.278762000000000000E+06
10 1.629169600000000000E+07
11 1.205378380000000000E+08
12 9.169830950000000000E+08
13 7.138576608000000000E+09
14 5.666332679900000000E+10
15 4.573065538020000000E+11
16 3.744150092257000000E+12
17 3.104211181826800000E+13
18 2.602282471778160000E+14
19 2.203053271704300000E+15
20 1.881529379837540000E+16
21 1.619678933035160000E+17
22 1.404269603562790000E+18
23 1.225441196654800000E+19
24 1.075743738331030000E+20
25 9.494769292430140000E+20
26 8.422287277893630000E+21
27 7.505479702504680000E+22
28 6.717087529129150000E+23
29 6.035386167238760000E+24
30 5.442917319922630000E+25
31 4.925542429071520000E+26
32 4.471728778766410000E+27
33 4.072005834658720000E+28
34 3.718547468827960000E+29
35 3.404848197632400000E+30
36 3.125470281693410000E+31
37 2.875844703252530000E+32
38 2.652113442447890000E+33
39 2.451003654653590000E+34
40 2.269726668716710000E+35
41 2.105896429971430000E+36
42 1.957463275394130000E+37
43 1.822659872598310000E+38
44 1.699956865525960000E+39
45 1.588026309108710000E+40
46 1.485711387121770000E+41
47 1.392001224106530000E+42
48 1.306009847147840000E+43
49 1.226958543835190000E+44
50 1.154161011818040000E+45
51 1.087010812637580000E+46
52 1.024970735241690000E+47
53 9.675637482699370000E+47
54 9.143652790179740000E+48
55 8.649966041667810000E+49
56 8.191191753622130000E+50
57 7.764297334678040000E+51
58 7.366560902770050000E+52
59 6.995534768235780000E+53
60 6.649013740843460000E+54
61 6.325007555476750000E+55
62 6.021716823949150000E+56
63 5.737512013646300000E+57
64 5.470915031035900000E+58
65 5.220583052449110000E+59
66 4.985294298263310000E+60
67 4.763935491595500000E+61
68 4.555490780376750000E+62
69 4.359031933468580000E+63
70 4.173709648316230000E+64
71 3.998745830342860000E+65
72 3.833426723554970000E+66
73 3.677096788214960000E+67
74 3.529153235404260000E+68
75 3.389041140235100000E+69
76 3.256249065688670000E+70
77 3.130305137827700000E+71
78 3.010773520673560000E+72
79 2.897251245537610000E+73
80 2.789365355208540000E+74
81 2.686770328252180000E+75
82 2.589145752889080000E+76
83 2.496194223568710000E+77
84 2.407639436538470000E+78
85 2.323224463475840000E+79
86 2.242710184669900000E+80
87 2.165873865353000000E+81
88 2.092507860635280000E+82
89 2.022418436118510000E+83
90 1.955424692693350000E+84
91 1.891357585279320000E+85
92 1.830059026373180000E+86
93 1.771381066247810000E+87
94 1.715185142506370000E+88
95 1.661341392459770000E+89
96 1.609728022472160000E+90
97 1.560230729019220000E+91
98 1.512742166737070000E+92
99 1.467161459214250000E+93
100 1.423393748701200000E+94
101 1.381349781288760000E+95
102 1.340945524443030000E+96
103 1.302101814084870000E+97
104 1.264744028670890000E+98
105 1.228801787973990000E+99
106 1.194208674477270000E+100
107 1.160901975489360000E+101
108 1.128822444263070000E+102
109 1.097914078556680000E+103
110 1.068123915217710000E+104
111 1.039401839496780000E+105
112 1.011700407913730000E+106
113 9.849746836020080000E+106
114 9.591820831510360000E+107
115 9.342822340510540000E+108
116 9.102368419218690000E+109
117 8.870095667764560000E+110
118 8.645659076336210000E+111
119 8.428730948512270000E+112
120 8.218999896036740000E+113
121 8.016169899746800000E+114
122 7.819959431796090000E+115
123 7.630100634708720000E+116
124 7.446338553157970000E+117
125 7.268430414690480000E+118
126 7.096144955915390000E+119
127 6.929261790950710000E+120
128 6.767570819168730000E+121
129 6.610871669510690000E+122
130 6.458973178849750000E+123
131 6.311692902073230000E+124
132 6.168856651730550000E+125
133 6.030298065254660000E+126
134 5.895858197912730000E+127
135 5.765385139778030000E+128
136 5.638733655139750000E+129
137 5.515764842883030000E+130
138 5.396345816476840000E+131
139 5.280349402305530000E+132
140 5.167653855169390000E+133
141 5.058142589862700000E+134
142 4.951703927814370000E+135
143 4.848230857846880000E+136
144 4.747620810174420000E+137
145 4.649775442821980000E+138
146 4.554600439702290000E+139
147 4.462005319639920000E+140
148 4.371903255679090000E+141
149 4.284210904056610000E+142
150 4.198848242261950000E+143
151 4.115738415645170000E+144
152 4.034807592068090000E+145
153 3.955984824127580000E+146
154 3.879201918509940000E+147
155 3.804393312063850000E+148
156 3.731495954205610000E+149
157 3.660449195295090000E+150
158 3.591194680643310000E+151
159 3.523676249834250000E+152
160 3.457839841062800000E+153
161 3.393633400209520000E+154
162 3.331006794389960000E+155
163 3.269911729732320000E+156
164 3.210301673152230000E+157
165 3.152131777907300000E+158
166 3.095358812727260000E+159
167 3.039941094327690000E+160
168 2.985838423126520000E+161
169 2.933012021993510000E+162
170 2.881424477872510000E+163
171 2.831039686125910000E+164
172 2.781822797459170000E+165
173 2.733740167291850000E+166
174 2.686759307448770000E+167
175 2.640848840052550000E+168
176 2.595978453505180000E+169
177 2.552118860452920000E+170
178 2.509241757634280000E+171
179 2.467319787517010000E+172
180 2.426326501634680000E+173
181 2.386236325538810000E+174
182 2.347024525286670000E+175
183 2.308667175389740000E+176
184 2.271141128151320000E+177
185 2.234423984326130000E+178
186 2.198494065038030000E+179
187 2.163330384895490000E+180
188 2.128912626247640000E+181
189 2.095221114526830000E+182
190 2.062236794626290000E+183
191 2.029941208264240000E+184
192 1.998316472288470000E+185
193 1.967345257877600000E+186
194 1.937010770597420000E+187
195 1.907296731273230000E+188
196 1.878187357640500000E+189
197 1.849667346738690000E+190
198 1.821721858014280000E+191
199 1.794336497101290000E+192
200 1.767497300248630000E+193
201 1.741190719365580000E+194
202 1.715403607657890000E+195
203 1.690123205828350000E+196
204 1.665337128817010000E+197
205 1.641033353057480000E+198
206 1.617200204226710000E+199
207 1.593826345467000000E+200
208 1.570900766059710000E+201
209 1.548412770531400000E+202
210 1.526351968173830000E+203
211 1.504708262960250000E+204
212 1.483471843841210000E+205
213 1.462633175403860000E+206
214 1.442182988879550000E+207
215 1.422112273485110000E+208
216 1.402412268084050000E+209
217 1.383074453154300000E+210
218 1.364090543050030000E+211
219 1.345452478545350000E+212
220 1.327152419648540000E+213
221 1.309182738675610000E+214
222 1.291536013572970000E+215
223 1.274205021478920000E+216
224 1.257182732514580000E+217
225 1.240462303795000000E+218
226 1.224037073651780000E+219
227 1.207900556058740000E+220
228 1.192046435252720000E+221
229 1.176468560541830000E+222
230 1.161160941293900000E+223
231 1.146117742097960000E+224
232 1.131333278092220000E+225
233 1.116802010452120000E+226
234 1.102518542032150000E+227
235 1.088477613155790000E+228
236 1.074674097547770000E+229
237 1.061102998403270000E+230
238 1.047759444589060000E+231
239 1.034638686971350000E+232
240 1.021736094865860000E+233
241 1.009047152605440000E+234
242 9.965674562208360000E+234
243 9.842927102305370000E+235
244 9.722187245356160000E+236
245 9.603414114157170000E+237
246 9.486567826225210000E+238
247 9.371609465671310000E+239
248 9.258501055979810000E+240
249 9.147205533660100000E+241
250 9.037686722739490000E+242
251 8.929909310067370000E+243
252 8.823838821401450000E+244
253 8.719441598248650000E+245
254 8.616684775433640000E+246
255 8.515536259369680000E+247
256 8.415964707006930000E+248

白新岭 · 发表于 2019-7-20 15:50

公式计算值有些偏差，在100内公式计算28组，实际只有10组；在1000以内公式计算97组，实际只有65组；都有些偏大，可是到104395000时，公式计算344909组，实际有345046组，比计算值还多137组。所以小范围内公式计算效果不太好，但是随范围值的增大，相对误差会变小，无限制向0靠近，但是不会是0.

白新岭 · 发表于 2019-7-20 16:20

等差3生素数210的最终二元合成系数=0.882266251580010 （这是最小合成系数）

白新岭 · 发表于 2019-7-20 16:36

等差3生素数210二元合成的综合系数 259.478826828224
它是有等差3生素数210的系数平方*它的二元合成系数得到。

白新岭 · 发表于 2019-7-20 16:40

n(10的次幂）等差3生素数210二元合成的最少数量
3 2.000000000000000000E+00
4 1.000000000000000000E+01
5 2.600000000000000000E+01
6 7.500000000000000000E+01
7 2.590000000000000000E+02
8 1.043000000000000000E+03
9 4.786000000000000000E+03
10 2.416800000000000000E+04
11 1.312920000000000000E+05
12 7.559910000000000000E+05
13 4.565329000000000000E+06
14 2.868914900000000000E+07
15 1.864945480000000000E+08
16 1.248205132000000000E+09
17 8.569343353000000000E+09
18 6.016187359000000000E+10
19 4.308312790510000000E+11
20 3.140391212740000000E+12
21 2.325793274065600000E+13
22 1.747443715722620000E+14
23 1.330167628596930000E+15
24 1.024667590816610000E+16
25 7.979919075194280000E+16
26 6.277273219175690000E+17
27 4.983831593060750000E+18
28 3.990947625840210000E+19
29 3.221380020630230000E+20
30 2.619521213013150000E+21
31 2.144868944490800000E+22
32 1.767601226529250000E+23
33 1.465536501245860000E+24
34 1.222019093829620000E+25
35 1.024431004765420000E+26
36 8.631329755677680000E+26
37 7.307032105918860000E+27
38 6.213847624276990000E+28
39 5.306807095159120000E+29
40 4.550550338278360000E+30
41 3.917097915421760000E+31
42 3.384178313857690000E+32
43 2.933962905579750000E+33
44 2.552102602705840000E+34
45 2.226989388481210000E+35
46 1.949186652451580000E+36
47 1.710987095286960000E+37
48 1.506067662284800000E+38
49 1.329218730178030000E+39
50 1.176130451949850000E+40
51 1.043223347678340000E+41
52 9.275133307529480000E+41
53 8.265036725146600000E+42
54 7.380981449505800000E+43
55 6.605308920570260000E+44
56 5.923095756992100000E+45
57 5.321691013482310000E+46
58 4.790338117598530000E+47
59 4.319864858778460000E+48
60 3.902428282231710000E+49
61 3.531304048266930000E+50
62 3.200711934325670000E+51
63 2.905670818611130000E+52
64 2.641877793977800000E+53
65 2.405607097315790000E+54
66 2.193625363183020000E+55
67 2.003120367145450000E+56
68 1.831640949865300000E+57
69 1.677046235086770000E+58
70 1.537462594831240000E+59
71 1.411247090139040000E+60
72 1.296956338767330000E+61
73 1.193319942747360000E+62
74 1.099217756813840000E+63
75 1.013660399937730000E+64
76 9.357725116859990000E+64
77 8.647783370168100000E+65
78 7.999892906927960000E+66
79 7.407932084058140000E+67
80 6.866450380835790000E+68
81 6.370587634133220000E+69
82 5.916003837629370000E+70
83 5.498818015374940000E+71
84 5.115554904995890000E+72
85 4.763098374578540000E+73
86 4.438650656043490000E+74
87 4.139696611634410000E+75
88 3.863972363175080000E+76
89 3.609437709405540000E+77
90 3.374251837825830000E+78
91 3.156751906395270000E+79
92 2.955434129101850000E+80
93 2.768937049445710000E+81
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96 2.286590867016450000E+84
97 2.148124018935060000E+85
98 2.019341721303550000E+86
99 1.899477533853070000E+87
100 1.787832585047740000E+88
101 1.683769017746880000E+89
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124 4.892545920751580000E+111
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162 9.789929611696470000E+148
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198 2.928080632855360000E+184
199 2.840707254302210000E+185
200 2.756360546215450000E+186
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