[原创]k生素数群的数量公式

白新岭 · 发表于 2019-7-26 19:42

n(10的次幂）最密22生素数的数量
32 1.000000000000000000E+00
33 9.000000000000000000E+00
34 4.600000000000000000E+01
35 2.420000000000000000E+02
36 1.292000000000000000E+03
37 7.003000000000000000E+03
38 3.858000000000000000E+04
39 2.159250000000000000E+05
40 1.226738000000000000E+06
41 7.069443000000000000E+06
42 4.129496600000000000E+07
43 2.443453780000000000E+08
44 1.463668913000000000E+09
45 8.870910312000000000E+09
46 5.436904268500000000E+10
47 3.368061635910000000E+11
48 2.107918123360000000E+12
49 1.332250751039200000E+13
50 8.499658936781700000E+13
51 5.471869416907780000E+14
52 3.553316223555020000E+15
53 2.326752249239130000E+16
54 1.535844176588660000E+17
55 1.021633650669760000E+18
56 6.846548341557150000E+18
57 4.621262991827600000E+19
58 3.140887789273910000E+20
59 2.149031735836300000E+21
60 1.479902761411450000E+22
61 1.025485966148280000E+23
62 7.148967792855110000E+23
63 5.012902615872980000E+24
64 3.534978654897120000E+25
65 2.506449872334220000E+26
66 1.786621762480030000E+27
67 1.280081455223820000E+28
68 9.217372804738670000E+28
69 6.669256130568460000E+29
70 4.848275178335560000E+30
71 3.540611724656320000E+31
72 2.597135195559300000E+32
73 1.913297055965200000E+33
74 1.415436631390390000E+34
75 1.051403272486880000E+35
76 7.841005307339630000E+35
77 5.870191114780960000E+36
78 4.411305347562050000E+37
79 3.327165392140930000E+38
80 2.518451855784610000E+39
81 1.912960632768370000E+40
82 1.457988493623420000E+41
83 1.114915070596740000E+42
84 8.553312693397100000E+42
85 6.582612341945300000E+43
86 5.081609122484510000E+44
87 3.934704189730940000E+45
88 3.055629277060940000E+46
89 2.379785955282230000E+47
90 1.858641762085470000E+48
91 1.455616208712460000E+49

白新岭 · 发表于 2019-7-26 19:49

最密24生素数的最终系数C24(L100)=24163191833.994100 （30#第一列所示最密24生素数的系数）

白新岭 · 发表于 2019-7-26 19:52

n(10的次幂）最密24生素数的数量
33 1.000000000000000000E+00
34 9.000000000000000000E+00
35 4.800000000000000000E+01
36 2.510000000000000000E+02
37 1.327000000000000000E+03
38 7.114000000000000000E+03
39 3.877400000000000000E+04
40 2.146710000000000000E+05
41 1.206344000000000000E+06
42 6.875739000000000000E+06
43 3.972111500000000000E+07
44 2.324349330000000000E+08
45 1.376900790000000000E+09
46 8.252508248000000000E+09
47 5.001819626600000000E+10
48 3.064220372020000000E+11
49 1.896558761186000000E+12
50 1.185450785489800000E+13
51 7.479962348688300000E+13
52 4.762686079581450000E+14
53 3.059064475786930000E+15
54 1.981370230358360000E+16
55 1.293740706291710000E+17
56 8.513442686754550000E+17
57 5.644406064285770000E+18
58 3.769393538755070000E+19
59 2.534872067281750000E+20
60 1.716203001303520000E+21
61 1.169529650891380000E+22
62 8.020299132110670000E+22
63 5.533730066046120000E+23
64 3.840687978448660000E+24
65 2.680916535108310000E+25
66 1.881759290382420000E+26
67 1.327939095008580000E+27
68 9.420103144073650000E+27
69 6.716295164637780000E+28
70 4.812121966468020000E+29
71 3.464296761851280000E+30
72 2.505570502014010000E+31
73 1.820351114686340000E+32
74 1.328332907581020000E+33
75 9.734426137005940000E+33
76 7.163345957410310000E+34
77 5.292685704684780000E+35
78 3.925954008785120000E+36
79 2.923339901448770000E+37
80 2.184923217394840000E+38
81 1.638985635485480000E+39
82 1.233834962797840000E+40
83 9.320608086064510000E+40
84 7.064807454446410000E+41
85 5.372671435269110000E+42
86 4.099022525049790000E+43
87 3.137168038080000000E+44
88 2.408414449600840000E+45
89 1.854514443161760000E+46
90 1.432205657323440000E+47
91 1.109247136680760000E+48
92 8.615322725443010000E+48

白新岭 · 发表于 2019-7-26 19:55

这最密24生素数够密集的，在前后100个自然数中就有24个素数，乘2就是200之内48个素数，这是不可能的，因为210之内才48个素数式（能产生素数的代数式）。

白新岭 · 发表于 2019-7-27 11:07

白新岭发表于 2019-7-26 11:42
n(10的次幂）最密22生素数的数量
32 1.000000000000000000E+00
33 9.000000000000000000E+00

熊一兵先生是一位细心的读者，因为在以前的帖子中没有最密23生的素数式，所以得费些事，就跳过了23生素数

lusishun · 发表于 2019-7-27 14:54

最密4生素数有无穷多组，
您的研究中包裹这内容吗？
5,7,11,13.
11,13,17,19，
101,103,107,109.
191,193,197,199.
...................

白新岭 · 发表于 2019-7-27 15:20

lusishun 发表于 2019-7-27 06:54
最密4生素数有无穷多组，
您的研究中包裹这内容吗？
5,7,11,13.

它是最密4生素数，当然包括，一切k生素数都有无数组。

白新岭 · 发表于 2019-7-27 15:32

最密23生素数的最终系数C23(L94)=4255929251.744950 （31#第一列素数式所示的23生素数）

白新岭 · 发表于 2019-7-27 15:32

最密23生素数的最终系数C23(L94)=4255929251.744950 （31#第一列素数式所示的23生素数）

白新岭 · 发表于 2019-7-27 15:41

n(10的次幂）最密23生素数的数量
34 1.000000000000000000E+00
35 8.000000000000000000E+00
36 4.400000000000000000E+01
37 2.330000000000000000E+02
38 1.253000000000000000E+03
39 6.829000000000000000E+03
40 3.781000000000000000E+04
41 2.124760000000000000E+05
42 1.211042000000000000E+06
43 6.996189000000000000E+06
44 4.093940200000000000E+07
45 2.425173120000000000E+08
46 1.453536912000000000E+09
47 8.809842096000000000E+09
48 5.397095385600000000E+10
49 3.340460964280000000E+11
50 2.087966982645000000E+12
51 1.317466284274000000E+13
52 8.388649621385100000E+13
53 5.388014164237750000E+14
54 3.489841731114090000E+15
55 2.278700990294590000E+16
56 1.499496010814220000E+17
57 9.941647213976370000E+17
58 6.639136225520080000E+18
59 4.464739697757190000E+19
60 3.022795417658530000E+20
61 2.059924651597200000E+21
62 1.412637283956550000E+22
63 9.746710542691270000E+22
64 6.764709077593300000E+23
65 4.721971824600710000E+24
66 3.314394250437710000E+25
67 2.338935550324000000E+26
68 1.659188603920900000E+27
69 1.182959488585500000E+28
70 8.475722404870060000E+28
71 6.101760904263400000E+29
72 4.413130047177250000E+30
73 3.206234346300570000E+31
74 2.339629183209210000E+32
75 1.714551174781040000E+33
76 1.261699770873030000E+34
77 9.322152497738520000E+34
78 6.914890475474110000E+35
79 5.148958748846100000E+36
80 3.848365190167150000E+37
81 2.886790353350190000E+38
82 2.173187361203430000E+39
83 1.641664266461920000E+40
84 1.244343914077770000E+41
85 9.463033558839520000E+41
86 7.219720800038540000E+42
87 5.525580110703870000E+43
88 4.242006427297040000E+44
89 3.266407153765080000E+45
90 2.522583106318820000E+46
91 1.953747405908680000E+47
92 1.517440421461700000E+48
93 1.181812609368800000E+49

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[原创]k生素数群的数量公式

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