致数学中国管理团队的信

柳林

连乘积化成密度：
连乘积aa密度%
(p-2)/paaf
100aa3
81.8182 aa1.227272727
73.2057 aa0.732057416
68.1571 aa0.511178023
63.7598 aa0.382559037
60.6496 aa0.303248017
58.5937 aa0.251115791
56.6726 aa0.212522176
55.0762 aa0.183587232
53.6818 aa0.161045508
52.4755 aa0.143115007
51.4364 aa0.12859096
50.4926 aa0.116521378
49.7217 aa0.106546538
49.0063 aa0.098012595
48.3485 aa0.090653427
47.7081 aa0.084190795
47.1751 aa0.078625109
46.6538 aa0.073663886
46.1653 aa0.069247909
45.7013 aa0.065287572
45.2681 aa0.061729244
44.8728 aa0.058529684
44.4973 aa0.055621567
44.1280 aa0.052953578
43.7764 aa0.05051119
43.4509 aa0.048278766
43.1302 aa0.046210949
42.8232 aa0.044299906
42.5479 aa0.042547851
42.2908 aa0.040926547
42.0484 aa0.039420385
41.8142 aa0.038012871
41.5935 aa0.036700149
41.3797 aa0.035468275
41.1733 aa0.03431106
40.9719 aa0.033220488
40.7764 aa0.032191868
40.5827 aa0.031217426
40.3943 aa0.030295751
40.2103 aa0.029422175
40.0312 aa0.028593711
39.8575 aa0.027807575
39.6911 aa0.027062117
39.5294 aa0.026352954
39.3710 aa0.025676736
39.2163 aa0.025031678
39.0658 aa0.024416096
38.9213 aa0.023829388
38.7845 aa0.023270716
38.6487 aa0.022734517
38.5196 aa0.022222867
38.3915 aa0.02173101
38.2674 aa0.021259671
38.1461 aa0.020806972
38.0271 aa0.020371658
37.9117 aa0.019953519
37.7970 aa0.01955016
37.6876 aa0.019163176
37.5801 aa0.018790027
37.4740 aa0.018429858
37.3698 aa0.018082164
37.2687 aa0.017746985
37.1694 aa0.017423165
37.0717 aa0.01711003
36.9753 aa0.016806962
36.8839 aa0.016515182
36.7929 aa0.016232183
36.7033 aa0.015957965
36.6148 aa0.015692044
36.5275 aa0.01543415
36.4424 aa0.015184351
36.3597 aa0.014942347
36.2799 aa0.014708063
36.2009 aa0.014480373
36.1230 aa0.014259078
36.0462 aa0.014043983
35.9720 aa0.013835376
35.8994 aa0.013632676
35.8282 aa0.013435583
35.7579 aa0.013243667
35.6879 aa0.013056533
35.6186 aa0.012874202
35.5501 aa0.012696451
35.4823 aa0.012523159
35.4148 aa0.012353987
35.3480 aa0.012188967
35.2819 aa0.012027911
35.2172 aa0.011870964
35.1537 aa0.011717894
35.0914 aa0.011568596
35.0304 aa0.011422967
34.9706 aa0.01128084
34.9114 aa0.01114193
34.8532 aa0.011006288
34.7965 aa0.010873914
34.7400 aa0.010744328
34.6844 aa0.010617662
34.6293 aa0.010493717
34.5751 aa0.010372535
34.5215 0.010253902
34.4680 0.010137644
34.4157 0.010023998
34.3665 #DIV/0!

柳林

区间乘
区间a密度%a素数个数
Nafa
100a3a4
400a1.227272727a5.909090909
900a0.732057416a7.588516746
1600a0.511178023a9.178848375
2500a0.382559037a10.56397592
3600a0.303248017a11.91692861
4900a0.251115791a13.30467378
6400a0.212522176a14.60141926
8100a0.183587232a15.87056577
10000a0.161045508a17.10455084
12100a0.143115007a18.3169159
14400a0.12859096         a           19.51709819
16900a0.116521378a20.69211283
19600a0.106546538a21.88312141
22500a0.098012595a23.05283376
25600a0.090653427a24.20727741
28900a0.084190795a25.33113977
32400a0.078625109a26.47453543
36100a0.073663886a27.59266267
40000a0.069247909a28.69916366
44100a0.065287572a29.79181911
48400a0.061729244a30.87695424
52900a0.058529684a31.96220288
57600a0.055621567a33.03802255
62500a0.052953578a34.0959863
67600a0.05051119a35.14556419
72900a0.048278766a36.19522051
78400a0.046210949a37.22938375
84100a0.044299906a38.25622063
90000a0.042547851a39.29306633
96100a0.040926547a40.33041123
102400a0.039420385a41.36647438
108900a0.038012871a42.39601625
115600a0.036700149a43.42537269
122500a0.035468275a44.44863701
129600a0.03431106a45.46713374
136900a0.033220488a46.47884861
144400a0.032191868a47.48505677
152100a0.031217426a48.48170476
160000a0.030295751a49.47320207
168100a0.029422175a50.45867662
176400a0.028593711a51.43930658
184900a0.027807575a52.4162067
193600a0.027062117a53.39225839
202500a0.026352954a54.36473088
211600a0.025676736a55.33197406
220900a0.025031678a56.29497778
230400a0.024416096a57.25468561
240100a0.023829388a58.21436004
250000a0.023270716a59.1767909
260100a0.022734517a60.13247969
270400a0.022222867a61.09063143
280900a0.02173101a62.04240612
291600a0.021259671a62.99319923
302500a0.020806972a63.94109078
313600a0.020371658a64.88551957
324900a0.019953519a65.82898392
336400a0.01955016a66.76673895
348100a0.019163176a67.70701395
360000a0.018790027a68.64409596
372100a0.018429858a69.5775018
384400a0.018082164a70.50783796
396900a0.017746985a71.43778481
409600a0.017423165a72.36528338
422500a0.01711003a73.28987877
435600a0.016806962a74.2111282
448900a0.016515182a75.13665375
462400a0.016232183a76.05761445
476100a0.015957965a76.97586964
490000a0.015692044a77.89101752
504100a0.01543415a78.80355012
518400a0.015184351a79.71567424
532900a0.014942347a80.62776941
547600a0.014708063a81.54135207
562500a0.014480373a82.45209965
577600a0.014259078a83.36043523
592900a0.014043983a84.26677315
608400a0.013835376a85.17442519
624100a0.013632676a86.08152882
640000a0.013435583a86.98773019
656100a0.013243667a87.89169836
672400a0.013056533a88.79212502
688900a0.012874202a89.690379
705600a0.012696451a90.58615831
722500a0.012523159a91.47982385
739600a0.012353987a92.3700882
756900a0.012188967a93.25829446
774400a0.012027911a94.14414391
792100a0.011870964a95.02990972
810000a0.011717894a95.91494418
828100a0.011568596a96.7995466
846400a0.011422967a97.68399645
864900a0.01128084a98.5679839
883600a0.01114193a99.45009591
902500a0.011006288a100.3317464
921600a0.010873914a101.2139957
940900a0.010744328a102.0933783
960400a0.010617662a102.9720303
980100a0.010493717a103.8489193
1000000a0.010372535a104.7253457

柳林

计算值与实际值的比较：
素数个数a实际个数
a
4a4
5.909090909a7
7.588516746a10
9.178848375a11
10.56397592a12
11.91692861a14
13.30467378a15
14.60141926a16
15.87056577a17
17.10455084a18
18.3169159a18
19.51709819a21
20.69211283a24
21.88312141a26
23.05283376a27
24.20727741a29
25.33113977a30
26.47453543a32
27.59266267a33
28.69916366a33
29.79181911a36
30.87695424a37
31.96220288a38
33.03802255a40
34.0959863a41
35.14556419a43
36.19522051a45
37.22938375a46
38.25622063a47
39.29306633a47
40.33041123a50
41.36647438a51
42.39601625a52
43.42537269a52
44.44863701a53
45.46713374a54
46.47884861a54
47.48505677a54
48.48170476a56
49.47320207a57
50.45867662a58
51.43930658a58
52.4162067a60
53.39225839a62
54.36473088a63
55.33197406a63
56.29497778a66
57.25468561a67
58.21436004a67
59.1767909a68
60.13247969a68
61.09063143a68
62.04240612a69
62.99319923a71
63.94109078a72
64.88551957a73
65.82898392a73
66.76673895a75
67.70701395a76
68.64409596a77
69.5775018a77
70.50783796a77
71.43778481a77
72.36528338a79
73.28987877a81
74.2111282a82
75.13665375a82
76.05761445a83
76.97586964a85
77.89101752a87
78.80355012a89
79.71567424a90
80.62776941a90
81.54135207a90
82.45209965a92
83.36043523a93
84.26677315a94
85.17442519a94
86.08152882a96
86.98773019a96
87.89169836a96
88.79212502a98
89.690379a99
90.58615831a99
91.47982385a99
92.3700882a99
93.25829446a100
94.14414391a100
95.02990972a100
95.91494418a102
96.7995466a103
97.68399645a104
98.5679839a105
99.45009591a107
100.3317464a108
101.2139957a109
102.0933783a110
102.9720303a110
103.8489193a111
104.7253457a111

柳林

下面引用由在 1970/01/01 08:00am 发表的内容：

你说的很对。证明是不会发在这里的。

ysr

质数的规律除了显而易见的外还有许多，支持你

柳林

下面引用由ysr在 2010/06/29 09:44am 发表的内容：
质数的规律除了显而易见的外还有许多，支持你

谢谢您的支持。

ysr

公式4n^4+1表示的是合数,可以被2(n^2-n)+1整除,如4*16+1=65,可被2(4-2)+1=5整除,即65=5*13,非平方数的平方,乘4加1有的为质数有的为合数,不知规律如何,知道了规律有可能搞出质数公式,质数公式目前鲜见或没有

白新岭

下面引用由ysr在 2010/07/04 11:10am 发表的内容：
公式4n^4+1表示的是合数,可以被2(n^2-n)+1整除,如4*16+1=65,可被2(4-2)+1=5整除,即65=5*13,非平方数的平方,乘4加1有的为质数有的为合数,不知规律如何,知道了规律有可能搞出质数公式,质数公式目前鲜见或没有

4n^4+1=(2n^2-2n+1)*(2n^2+2n+1)，n为整数时，除n为±1，0外，都表示合数，不会是素数。只有素数5可以用4n^4+1表示，和既不是素数也不是合数的1可以用4n^4+1表示。其余的n值时，4n^4+1都是合数，不会再有素数出现。

申一言

  第n个单位（素数）的数学函数结构式：

     （1） Pn=【（ApNp+48）ˇ1/2-6】ˇ2=（√P）ˇ2
  基本单位圆的内接正方形的面积 Sp

    （2） Sp=hˇ2=（√n）ˇ2，
  当仅当 n=P, P=1,2,3,5,7,,,,,,,,（素数）时：
     Pn=Sp.
   因此所谓素数就是基本单位圆内接正方形的面积！（n=P）

ysr

申先生的大作不太好懂，但精神是好的，这种精神也许正是中国数学希望所在