[原创]k生素数群的数量公式

白新岭 · 发表于 2021-8-29 12:17

二百多年来，虽然在研究哥德巴赫猜想中取得了这样重大的成就，要从 (1+2) 完全解决哥德巴赫猜想还有十分漫长的路程。或许，我们可以说，为了完全解决哥德巴赫猜想所需克服的困难可能比至今克服的更为巨大。因为依作者看来，不仅现有的方法不适用于来研究解决 (1+1)，而且到目前为止还看不到可以沿着什么途径，利用什么方法来解决它。

白新岭 · 发表于 2021-8-29 12:23

n值常数
2 0.819802446761417000
3 0.670891137176445000
4 0.840258827690047000

白新岭 · 发表于 2021-8-29 15:18

10^n 二生L14差等于108的数量实际数量理论-实际误差/实际
2 1 2 -1 -5.000000000000E-01
3 6 7 -1 -1.428571428571E-01
4 20 18 2 1.111111111111E-01
5 69 73 -4 -5.479452054795E-02
6 296 317 -21 -6.624605678233E-02
7 1476 1490 -14 -9.395973154362E-03
8 8194 8179 15 1.833965032400E-03
9 49256 49100 156 3.177189409369E-03
10 314206
11 2099671
12 14567476
13 104251656
14 765792137
15 5751891954
16 44042114960
17 3.4294328672200000E+11
18 2.7102146326290000E+12
19 2.1701537198459000E+13
20 1.7582341595003900E+14
21 1.4396218840643200E+15
22 1.1900523101887900E+16
23 9.9231710669693800E+16
24 8.3401244070076200E+17
25 7.0606467034277000E+18
26 6.0174622637579300E+19
27 5.1600702948113900E+20
28 4.4501289255026200E+21
29 3.8582207201450500E+22
30 3.3615550495484700E+23
31 2.9423152020949700E+24
32 2.5864552839574900E+25
33 2.2828148990082600E+26
34 2.0224610030894900E+27
35 1.7981939569443400E+28
36 1.6041734879422700E+29
37 1.4356330668892300E+30
38 1.2886600723711600E+31
39 1.1600253262155400E+32
40 1.0470499801345600E+33
41 9.4750087614712300E+33
42 8.5950777042554500E+34
43 7.8149746001218900E+35
44 7.1214106242792500E+36
45 6.5031159347712600E+37
46 5.9504965561534700E+38
47 5.4553554980026400E+39
48 5.0106650190235900E+40
49 4.6103798228571200E+41
50 4.2492831714688700E+42
51 3.9228595948640900E+43
52 3.6271891859866500E+44
53 3.3588594890412200E+45
54 3.1148917867482100E+46
55 2.8926792186968500E+47
56 2.6899346578619600E+48
57 2.5046466649888100E+49
58 2.3350421534316600E+50
59 2.1795546474137600E+51
60 2.0367972178640400E+52
61 1.9055393422798000E+53
62 1.7846870664823600E+54
63 1.6732659529384000E+55
64 1.5704063874293700E+56
65 1.4753308871412700E+57
66 1.3873431117826800E+58

白新岭 · 发表于 2021-8-29 15:18

10^n 二生L14差等于114的数量实际数量理论-实际误差/实际
2 3 1 2 2.000000000000E+00
3 13 13 0 0.000000000000E+00
4 44 33 11 3.333333333333E-01
5 152 139 13 9.352517985612E-02
6 645 634 11 1.735015772871E-02
7 3213 3141 72 2.292263610315E-02
8 17839 17725 114 6.431593794076E-03
9 107229 107250 -21 -1.958041958042E-04
10 684014
11 4570898
12 31712802
13 226951608
14 1667098275
15 12521634381
16 95877889448
17 7.4657355944900000E+11
18 5.9000268076160000E+12
19 4.7243362092383000E+13
20 3.8276041130565600E+14
21 3.1339981736315500E+15
22 2.5906953818514200E+16
23 2.1602339020241000E+17
24 1.8156110954377600E+18
25 1.5370740135408700E+19
26 1.3099770122466100E+20
27 1.1233262746808100E+21
28 9.6877493176028100E+21
29 8.3991892761903800E+22
30 7.3179683515954100E+23
31 6.4053002886986000E+24
32 5.6306077490416200E+25
33 4.9695950050667300E+26
34 4.4028151836849500E+27
35 3.9145949636363500E+28
36 3.4922203094091100E+29
37 3.1253146811950700E+30
38 2.8053604616243000E+31
39 2.5253278614118500E+32
40 2.2793851370045200E+33
41 2.0626707944839200E+34
42 1.8711133892539800E+35
43 1.7012881225876600E+36
44 1.5503020714829900E+37
45 1.4157018372733200E+38
46 1.2953988506021300E+39
47 1.1876086600589100E+40
48 1.0908013550034300E+41
49 1.0036608990542700E+42
50 9.2505162960080300E+42
51 8.5399054722676000E+43
52 7.8962430414057300E+44
53 7.3121002262215500E+45
54 6.7809924805871400E+46
55 6.2972447756239200E+47
56 5.8558781290038800E+48
57 5.4525137194403800E+49
58 5.0832916095630600E+50
59 4.7448016454435200E+51
60 4.4340245390146900E+52
61 4.1482814929348200E+53
62 3.8851910135381700E+54
63 3.6426317900253100E+55
64 3.4187107076812700E+56
65 3.2117352181042500E+57
66 3.0201894168573200E+58

白新岭 · 发表于 2021-8-29 15:18

10^n 二生L14差等于120的数量实际数量理论-实际误差/实际
2 4 2 2 1.000000000000E+00
3 18 15 3 2.000000000000E-01
4 61 50 11 2.200000000000E-01
5 208 202 6 2.970297029703E-02
6 886 846 40 4.728132387707E-02
7 4408 4390 18 4.100227790433E-03
8 24474 24521 -47 -1.916724440276E-03
9 147116 146962 154 1.047889930730E-03
10 938451
11 6271169
12 43509247
13 311372468
14 2287221094
15 17179398911
16 1.3154229387600000E+11
17 1.0242820229110000E+12
18 8.0947032174460000E+12
19 6.4816823313164000E+13
20 5.2513861952413800E+14
21 4.2997745479424500E+15
22 3.5543754167057700E+16
23 2.9637920110088900E+17
24 2.4909773218147900E+18
25 2.1088307508706800E+19
26 1.7972588060320500E+20
27 1.5411782194214400E+21
28 1.3291372756100600E+22
29 1.1523497549223600E+23
30 1.0040086916954800E+24
31 8.7879269952990500E+24
32 7.7250663680900200E+25
33 6.8181718471160800E+26
34 6.0405627627301600E+27
35 5.3707356729704700E+28
36 4.7912472089303600E+29
37 4.2878609928932500E+30
38 3.8488910466462700E+31
39 3.4646926584282000E+32
40 3.1272648081008700E+33
41 2.8299376360609400E+34
42 2.5671252124904500E+35
43 2.3341287910652200E+36
44 2.1269793469154300E+37
45 1.9423108726096000E+38
46 1.7772578982707900E+39
47 1.6293721969595800E+40
48 1.4965547659110600E+41
49 1.3770000330019200E+42
50 1.2691498948390400E+43
51 1.1716556984760900E+44
52 1.0833466700608100E+45
53 1.0032035981782300E+46
54 9.3033681777906100E+46
55 8.6396772774809400E+47
56 8.0341322298115300E+48
57 7.4807253911032500E+49
58 6.9741610146637800E+50
59 6.5097604465011400E+51
60 6.0833812917368400E+52
61 5.6913483010596000E+53
62 5.3303941190714000E+54
63 4.9976083553768600E+55
64 4.6903936994426600E+56
65 4.4064280131768100E+57
66 4.1436315100083200E+58

独木星空谁 · 发表于 2021-8-29 15:20

10^n 二生L14差等于126的数量实际数量理论-实际误差/实际
2 3 1 2 2.000000000000E+00
3 14 12 2 1.666666666667E-01
4 47 44 3 6.818181818182E-02
5 161 154 7 4.545454545455E-02
6 683 713 -30 -4.207573632539E-02
7 3402 3402 0 0.000000000000E+00
8 18888 18725 163 8.704939919893E-03
9 113536 113682 -146 -1.284284231453E-03
10 724250
11 4839775
12 33578261
13 240301702
14 1765162879
15 13258201110
16 1.0151776529800000E+11
17 7.9048965118200000E+11
18 6.2470872080640000E+12
19 5.0022383391935000E+13
20 4.0527572961775400E+14
21 3.3183510073745900E+15
22 2.7430892278426800E+16
23 2.2873064844961100E+17
24 1.9224117481105600E+18
25 1.6274901319844500E+19
26 1.3870344835552400E+20
27 1.1894042908385000E+21
28 1.0257616924520600E+22
29 8.8932592336133500E+22
30 7.7484370781598400E+23
31 6.7820826586220500E+24
32 5.9618199695734800E+25
33 5.2619241230118300E+26
34 4.6618043121370000E+27
35 4.1448652556149600E+28
36 3.6976450334920000E+29
37 3.3091567212653700E+30
38 2.9703816652492600E+31
39 2.6738765591419600E+32
40 2.4134666156518500E+33
41 2.1840043706300300E+34
42 1.9811788827395100E+35
43 1.8013638945045800E+36
44 1.6414963109819900E+37
45 1.4989784159364600E+38
46 1.3715987829904900E+39
47 1.2574679930035500E+40
48 1.1549661405918600E+41
49 1.0626997754692300E+42
50 9.7946643134202600E+42
51 9.0422528529892200E+43
52 8.3607279261943000E+44
53 7.7422237689404700E+45
54 7.1798743912099100E+46
55 6.6676709388959100E+47
56 6.2003415483570500E+48
57 5.7732498205839300E+49
58 5.3823087630667700E+50
59 5.0239076245872600E+51
60 4.6948495118979100E+52
61 4.3922980513427500E+53
62 4.1137316613933500E+54
63 3.8569042482620900E+55
64 3.6198113375448700E+56
65 3.4006608191692100E+57
66 3.1978476178489200E+58

独木星空谁 · 发表于 2021-8-29 15:20

10^n 二生L14差等于132的数量实际数量理论-实际误差/实际
2 2 2 0 0.000000000000E+00
3 8 8 0 0.000000000000E+00
4 26 26 0 0.000000000000E+00
5 89 98 -9 -9.183673469388E-02
6 378 397 -19 -4.785894206549E-02
7 1882 1880 2 1.063829787234E-03
8 10452 10435 17 1.629132726402E-03
9 62826 62349 477 7.650483568301E-03
10 400770
11 2678136
12 18580856
13 132973274
14 976769972
15 7336553973
16 56175838505
17 4.3742510342000000E+11
18 3.4568862020900000E+12
19 2.7680370256406000E+13
20 2.2426324959085200E+14
21 1.8362416641598500E+15
22 1.5179149877390300E+16
23 1.2657031930018000E+17
24 1.0637851570572300E+18
25 9.0058742481352800E+18
26 7.6752896323214700E+19
27 6.5816838228217400E+20
28 5.6761516578375000E+21
29 4.9211711174145000E+22
30 4.2876726914718500E+23
31 3.7529311154430300E+24
32 3.2990308132027100E+25
33 2.9117366688603000E+26
34 2.5796545600758100E+27
35 2.2936013272177700E+28
36 2.0461276865173100E+29
37 1.8311539169057400E+30
38 1.6436894590312100E+31
39 1.4796154872722300E+32
40 1.3355151232856100E+33
41 1.2085399679375700E+34
42 1.0963045200930100E+35
43 9.9680215506182600E+35
44 9.0833787959477500E+36
45 8.2947422225732900E+37
46 7.5898746884849000E+38
47 6.9583209099010900E+39
48 6.3911169835122900E+40
49 5.8805521172210200E+41
50 5.4199723473471800E+42
51 5.0036181795197300E+43
52 4.6264897615304400E+44
53 4.2842344966469000E+45
54 3.9730530228039000E+46
55 3.6896202823930000E+47
56 3.4310190386165500E+48
57 3.1946836951847800E+49
58 2.9783526752148100E+50
59 2.7800279345542100E+51
60 2.5979404413664300E+52
61 2.4305206608220700E+53
62 2.2763732513639100E+54
63 2.1342553152438500E+55
64 2.0030576571394600E+56
65 1.8817885955877000E+57
66 1.7695599466357700E+58

独木星空谁 · 发表于 2021-8-29 15:21

10^n 二生L14差等于138的数量实际数量理论-实际误差/实际
2 1 0 1 #DIV/0!
3 7 9 -2 -2.222222222222E-01
4 24 30 -6 -2.000000000000E-01
5 82 95 -13 -1.368421052632E-01
6 348 354 -6 -1.694915254237E-02
7 1733 1738 -5 -2.876869965478E-03
8 9622 9701 -79 -8.143490361818E-03
9 57838 57832 6 1.037487895975E-04
10 368948
11 2465486
12 17105495
13 122414902
14 899212279
15 6754015380
16 51715352822
17 4.0269258383800000E+11
18 3.1824018005990000E+12
19 2.5482487705833000E+13
20 2.0645625212496300E+14
21 1.6904400193513200E+15
22 1.3973891842941200E+16
23 1.1652035632520800E+17
24 9.7931826544423800E+17
25 8.2907879368148600E+18
26 7.0658546790598100E+19
27 6.0590835868575900E+20
28 5.2254526762990000E+21
29 4.5304192587088100E+22
30 3.9472220073276900E+23
31 3.4549400938009600E+24
32 3.0370804783272300E+25
33 2.6805383446662000E+26
34 2.3748242889638800E+27
35 2.1114843147512200E+28
36 1.8836606278477800E+29
37 1.6857562504691700E+30
38 1.5131768847013800E+31
39 1.3621307487766700E+32
40 1.2294722720409700E+33
41 1.1125792245444700E+34
42 1.0092555192123300E+35
43 9.1765386178791000E+35
44 8.3621384523058900E+36
45 7.6361213651344000E+37
46 6.9872218704648500E+38
47 6.4058148571461100E+39
48 5.8836481755946800E+40
49 5.4136232876405100E+41
50 4.9896145690198100E+42
51 4.6063198419386300E+43
52 4.2591362534998900E+44
53 3.9440568127675900E+45
54 3.6575838354181700E+46
55 3.3966562807630900E+47
56 3.1585885470512800E+48
57 2.9410187520063700E+49
58 2.7418648929462900E+50
59 2.5592875748384700E+51
60 2.3916582308823600E+52
61 2.2375319507814900E+53
62 2.0956241861808900E+54
63 1.9647907281595100E+55
64 1.8440104539539800E+56
65 1.7323704238003000E+57
66 1.6290529775136800E+58

独木星空谁 · 发表于 2021-8-29 15:21

10^n 二生L14差等于144的数量实际数量理论-实际误差/实际
2 3 1 2 2.000000000000E+00
3 13 13 0 0.000000000000E+00
4 44 41 3 7.317073170732E-02
5 151 145 6 4.137931034483E-02
6 641 633 8 1.263823064771E-02
7 3192 3183 9 2.827521206409E-03
8 17722 17579 143 8.134706183514E-03
9 106528 106329 199 1.871549624279E-03
10 679543 一挂小挂鞭
11 4541023
12 31505529
13 225468264
14 1656202208
15 12439793634
16 95251236576
17 7.4169399370100000E+11
18 5.8614645408990000E+12
19 4.6934581947988000E+13
20 3.8025870927097900E+14
21 3.1135145254378800E+15
22 2.5737627322968300E+16
23 2.1461147261938800E+17
24 1.8037443562518900E+18
25 1.5270277781582500E+19
26 1.3014150709901000E+20
27 1.1159842728855100E+21
28 9.6244306946119300E+21
29 8.3442926142545000E+22
30 7.2701384930882500E+23
31 6.3634355809293300E+24
32 5.5938063912047400E+25
33 4.9371139919617200E+26
34 4.3740386138569400E+27
35 3.8890093756387300E+28
36 3.4693953400665700E+29
37 3.1048877878539200E+30
38 2.7870247723326400E+31
39 2.5088224505529500E+32
40 2.2644871949326000E+33
41 2.0491892860232400E+34
42 1.8588838899778100E+35
43 1.6901685923746700E+36
44 1.5401693782053200E+37
45 1.4064488840885300E+38
46 1.2869321914478600E+39
47 1.1798465119539500E+40
48 1.0836719343824900E+41
49 9.9710102389705300E+41
50 9.1900554051844400E+42
51 8.4840890966318600E+43
52 7.8446336097625500E+44
53 7.2643087214750100E+45
54 6.7366722682957200E+46
55 6.2560863130381400E+47
56 5.8176044157424200E+48
57 5.4168763748688700E+49
58 5.0500674813959800E+50
59 4.7137898699831000E+51
60 4.4050439864721100E+52
61 4.1211685420006000E+53
62 3.8597976082209300E+54
63 3.6188237391101100E+55
64 3.3963661932519800E+56
65 3.1907434846525900E+57
66 3.0004496167471400E+58

独木星空谁 · 发表于 2021-8-29 15:22

10^n 二生L14差等于150的数量实际数量理论-实际误差/实际
2 5 1 4 4.000000000000E+00
3 20 14 6 4.285714285714E-01
4 65 58 7 1.206896551724E-01
5 222 221 1 4.524886877828E-03
6 945 913 32 3.504928806134E-02
7 4703 4695 8 1.703940362087E-03
8 26114 26028 86 3.304134009528E-03
9 156968 156828 140 8.926977325478E-04
10 1001302
11 6691165
12 46423168
13 332225846
14 2440401902
15 18329945401
16 1.4035200399900000E+11
17 1.0928807027770000E+12
18 8.6368253500260000E+12
19 6.9157764980533000E+13
20 5.6030844115552200E+14
21 4.5877409977216200E+15
22 3.7924206580361300E+16
23 3.1622844328272600E+17
24 2.6578041839782200E+18
25 2.2500643196874400E+19
26 1.9176256373476800E+20
27 1.6443947056291100E+21
28 1.4181528596270700E+22
29 1.2295254449798100E+23
30 1.0712496168349900E+24
31 9.3764760249140600E+24
32 8.2424330140672800E+25
33 7.2748015422097000E+26
34 6.4451140697944000E+27
35 5.7304270165986500E+28
36 5.1121287885076500E+29
37 4.5750295626641800E+30
38 4.1066607222261000E+31
39 3.6967316254249600E+32
40 3.3367054041756300E+33
41 3.0194655020144900E+34
42 2.7390518857001500E+35
43 2.4904511223400200E+36
44 2.2694283717318500E+37
45 2.0723921966689100E+38
46 1.8962852197269700E+39
47 1.7384952502024200E+40
48 1.5967827099658800E+41
49 1.4692211032994500E+42
50 1.3541479768034200E+43
51 1.2501243549351000E+44
52 1.1559010542451600E+45
53 1.0703906042298200E+46
54 9.9264375678889600E+46
55 9.2182976598041200E+47
56 8.5721977747555900E+48
57 7.9817279224289200E+49
58 7.4412376869842000E+50
59 6.9457350734938200E+51
60 6.4908002607320300E+52
61 6.0725118589250000E+53
62 5.6873836898681500E+54
63 5.3323104471814800E+55
64 5.0045208720734700E+56
65 4.7015373071674100E+57
66 4.4211406774834400E+58

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[原创]k生素数群的数量公式

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