4620的哥猜素数知多少

lusishun

4620是2 ，3 ，4，5， 6， 7， 11的倍数，所以，它的哥猜素数对一定不少。

cuikun-186

真值计算：

N=4620,

C（4620）=1444,

π(4620)=623

则：

r2(4620)=C（4620）+2π(4620)-4620/2=380

下界计算：

r2(N)≥[0.8488N/(lnN)^2]

则：

r2(4620)≥[0.8488*4620/(ln4620)^2]=55

380>55数理逻辑自洽

C(N)下界估计精度：

C(N)≥[N/2+0.8488N/(lnN)^2-2.2N/lnN]

C(4620)≥[4620/2+0.8488*4620/(ln4620)^2-2.2*4620/ln4620]=1341

精度：1341/1444≈93%

cuikun-186

真值计算：

N=9240,

C（9240）=2990

π(9240)=1145

则：

r2(9240)=C（9240）+2π(9240)-9240/2=660（yangchuanju老师，我定义：1为素数）

下界计算：

r2(N)≥[0.8488N/(lnN)^2]

则：

r2(9240)≥[0.8488*9240/(ln9240)^2]=94

660>94数理逻辑自洽

C(N)下界估计精度：

C(N)≥[N/2+0.8488N/(lnN)^2-2.2N/lnN]

C(9240)≥[9240/2+0.8488*9240/(ln9240)^2-2.2*9240/ln9240]=2488

精度：2488/2990≈83%

cuikun-186

C(N)下界估计精度：

C(N)≥[N/2+0.8488N/(lnN)^2-2.2N/lnN]

对于2^n类的偶数精度更高，为什么？

cuikun-186

C(N)下界估计精度：

C(N)≥[N/2+0.8488N/(lnN)^2-2.2N/lnN]

对于2^n类的偶数精度更高。

例如2^12=4096


真值计算：

N=4096

C（4096）=1026

π(4096)=564

则：

r2(4096)=C（4096）+2π(4096)-4096/2=106

C(N)下界估计精度：

C(N)≥[N/2+0.8488N/(lnN)^2-2.2N/lnN]

C(4096)≥[4096/2+0.8488*4096/(ln4096)^2-2.2*4096/ln4096]=1015

精度：1015/1026≈98.92%

yangchuanju

cuikun-186 发表于 2026-8-7 10:11
C(N)下界估计精度：

C(N)≥[N/2+0.8488N/(lnN)^2-2.2N/lnN]

多年来，鲁思顺仅会用打折的连乘积（加强倍数含量）估算一些不很大的小偶数的哥猜素数对数，并美其名曰“下限”、“不小于”。
求哥猜数最基本的原理方法——双筛法，他不会，也不愿意学；
你的这套理论和方法，估计鲁思顺也不想看、不想学。

yangchuanju

cuikun-186 发表于 2026-8-7 09:48
真值计算：

N=9240,

n(is a even number)=9240
1,n= 13 + 9227
2,n= 19 + 9221
3,n= 31 + 9209
4,n= 37 + 9203
5,n= 41 + 9199
6,n= 53 + 9187
7,n= 59 + 9181
8,n= 67 + 9173
9,n= 79 + 9161
10,n= 83 + 9157
11,n= 89 + 9151
12,n= 103 + 9137
13,n= 107 + 9133
14,n= 113 + 9127
15,n= 131 + 9109
16,n= 137 + 9103
17,n= 149 + 9091
18,n= 173 + 9067
19,n= 181 + 9059
20,n= 191 + 9049
21,n= 197 + 9043
22,n= 199 + 9041
23,n= 211 + 9029
24,n= 227 + 9013
25,n= 229 + 9011
26,n= 233 + 9007
27,n= 239 + 9001
28,n= 241 + 8999
29,n= 269 + 8971
30,n= 271 + 8969
31,n= 277 + 8963
32,n= 307 + 8933
33,n= 311 + 8929
34,n= 317 + 8923
35,n= 347 + 8893
36,n= 353 + 8887
37,n= 373 + 8867
38,n= 379 + 8861
39,n= 401 + 8839
40,n= 409 + 8831
41,n= 419 + 8821
42,n= 421 + 8819
43,n= 433 + 8807
44,n= 457 + 8783
45,n= 461 + 8779
46,n= 479 + 8761
47,n= 487 + 8753
48,n= 499 + 8741
49,n= 503 + 8737
50,n= 509 + 8731
51,n= 521 + 8719
52,n= 541 + 8699
53,n= 547 + 8693
54,n= 563 + 8677
55,n= 571 + 8669
56,n= 577 + 8663
57,n= 593 + 8647
58,n= 599 + 8641
59,n= 613 + 8627
60,n= 617 + 8623
61,n= 631 + 8609
62,n= 641 + 8599
63,n= 643 + 8597
64,n= 659 + 8581
65,n= 677 + 8563
66,n= 701 + 8539
67,n= 719 + 8521
68,n= 727 + 8513
69,n= 739 + 8501
70,n= 773 + 8467
71,n= 797 + 8443
72,n= 809 + 8431
73,n= 811 + 8429
74,n= 821 + 8419
75,n= 853 + 8387
76,n= 863 + 8377
77,n= 877 + 8363
78,n= 887 + 8353
79,n= 911 + 8329
80,n= 929 + 8311
81,n= 947 + 8293
82,n= 953 + 8287
83,n= 967 + 8273
84,n= 971 + 8269
85,n= 977 + 8263
86,n= 997 + 8243
87,n= 1009 + 8231
88,n= 1019 + 8221
89,n= 1021 + 8219
90,n= 1031 + 8209
91,n= 1049 + 8191
92,n= 1061 + 8179
93,n= 1069 + 8171
94,n= 1093 + 8147
95,n= 1117 + 8123
96,n= 1123 + 8117
97,n= 1129 + 8111
98,n= 1151 + 8089
99,n= 1153 + 8087
100,n= 1171 + 8069
101,n= 1181 + 8059
102,n= 1187 + 8053
103,n= 1201 + 8039
104,n= 1223 + 8017
105,n= 1229 + 8011
106,n= 1231 + 8009
107,n= 1277 + 7963
108,n= 1289 + 7951
109,n= 1291 + 7949
110,n= 1303 + 7937
111,n= 1307 + 7933
112,n= 1321 + 7919
113,n= 1361 + 7879
114,n= 1367 + 7873
115,n= 1373 + 7867
116,n= 1399 + 7841
117,n= 1423 + 7817
118,n= 1447 + 7793
119,n= 1451 + 7789
120,n= 1481 + 7759
121,n= 1483 + 7757
122,n= 1487 + 7753
123,n= 1499 + 7741
124,n= 1523 + 7717
125,n= 1549 + 7691
126,n= 1553 + 7687
127,n= 1559 + 7681
128,n= 1567 + 7673
129,n= 1571 + 7669
130,n= 1597 + 7643
131,n= 1601 + 7639
132,n= 1619 + 7621
133,n= 1637 + 7603
134,n= 1657 + 7583
135,n= 1663 + 7577
136,n= 1667 + 7573
137,n= 1693 + 7547
138,n= 1699 + 7541
139,n= 1723 + 7517
140,n= 1733 + 7507
141,n= 1741 + 7499
142,n= 1753 + 7487
143,n= 1759 + 7481
144,n= 1783 + 7457
145,n= 1789 + 7451
146,n= 1823 + 7417
147,n= 1847 + 7393
148,n= 1871 + 7369
149,n= 1889 + 7351
150,n= 1907 + 7333
151,n= 1931 + 7309
152,n= 1933 + 7307
153,n= 1987 + 7253
154,n= 1993 + 7247
155,n= 1997 + 7243
156,n= 2003 + 7237
157,n= 2011 + 7229
158,n= 2027 + 7213
159,n= 2029 + 7211
160,n= 2053 + 7187
161,n= 2063 + 7177
162,n= 2081 + 7159
163,n= 2089 + 7151
164,n= 2111 + 7129
165,n= 2113 + 7127
166,n= 2131 + 7109
167,n= 2137 + 7103
168,n= 2161 + 7079
169,n= 2213 + 7027
170,n= 2221 + 7019
171,n= 2239 + 7001
172,n= 2243 + 6997
173,n= 2269 + 6971
174,n= 2273 + 6967
175,n= 2281 + 6959
176,n= 2293 + 6947
177,n= 2333 + 6907
178,n= 2341 + 6899
179,n= 2357 + 6883
180,n= 2371 + 6869
181,n= 2377 + 6863
182,n= 2383 + 6857
183,n= 2399 + 6841
184,n= 2411 + 6829
185,n= 2417 + 6823
186,n= 2437 + 6803
187,n= 2447 + 6793
188,n= 2459 + 6781
189,n= 2477 + 6763
190,n= 2503 + 6737
191,n= 2521 + 6719
192,n= 2531 + 6709
193,n= 2539 + 6701
194,n= 2549 + 6691
195,n= 2551 + 6689
196,n= 2579 + 6661
197,n= 2621 + 6619
198,n= 2633 + 6607
199,n= 2659 + 6581
200,n= 2663 + 6577
201,n= 2671 + 6569
202,n= 2677 + 6563
203,n= 2687 + 6553
204,n= 2689 + 6551
205,n= 2693 + 6547
206,n= 2711 + 6529
207,n= 2719 + 6521
208,n= 2749 + 6491
209,n= 2767 + 6473
210,n= 2789 + 6451
211,n= 2791 + 6449
212,n= 2819 + 6421
213,n= 2843 + 6397
214,n= 2851 + 6389
215,n= 2861 + 6379
216,n= 2879 + 6361
217,n= 2887 + 6353
218,n= 2897 + 6343
219,n= 2903 + 6337
220,n= 2917 + 6323
221,n= 2939 + 6301
222,n= 2953 + 6287
223,n= 2963 + 6277
224,n= 2969 + 6271
225,n= 2971 + 6269
226,n= 3011 + 6229
227,n= 3019 + 6221
228,n= 3023 + 6217
229,n= 3037 + 6203
230,n= 3041 + 6199
231,n= 3067 + 6173
232,n= 3089 + 6151
233,n= 3109 + 6131
234,n= 3119 + 6121
235,n= 3167 + 6073
236,n= 3187 + 6053
237,n= 3203 + 6037
238,n= 3229 + 6011
239,n= 3253 + 5987
240,n= 3259 + 5981
241,n= 3301 + 5939
242,n= 3313 + 5927
243,n= 3343 + 5897
244,n= 3359 + 5881
245,n= 3361 + 5879
246,n= 3371 + 5869
247,n= 3373 + 5867
248,n= 3389 + 5851
249,n= 3391 + 5849
250,n= 3413 + 5827
251,n= 3433 + 5807
252,n= 3449 + 5791
253,n= 3457 + 5783
254,n= 3461 + 5779
255,n= 3491 + 5749
256,n= 3499 + 5741
257,n= 3529 + 5711
258,n= 3539 + 5701
259,n= 3547 + 5693
260,n= 3557 + 5683
261,n= 3571 + 5669
262,n= 3581 + 5659
263,n= 3583 + 5657
264,n= 3593 + 5647
265,n= 3617 + 5623
266,n= 3659 + 5581
267,n= 3671 + 5569
268,n= 3677 + 5563
269,n= 3709 + 5531
270,n= 3719 + 5521
271,n= 3733 + 5507
272,n= 3739 + 5501
273,n= 3761 + 5479
274,n= 3769 + 5471
275,n= 3797 + 5443
276,n= 3803 + 5437
277,n= 3821 + 5419
278,n= 3823 + 5417
279,n= 3833 + 5407
280,n= 3847 + 5393
281,n= 3853 + 5387
282,n= 3889 + 5351
283,n= 3907 + 5333
284,n= 3917 + 5323
285,n= 3931 + 5309
286,n= 3943 + 5297
287,n= 3967 + 5273
288,n= 4003 + 5237
289,n= 4007 + 5233
290,n= 4013 + 5227
291,n= 4051 + 5189
292,n= 4073 + 5167
293,n= 4093 + 5147
294,n= 4127 + 5113
295,n= 4133 + 5107
296,n= 4139 + 5101
297,n= 4153 + 5087
298,n= 4159 + 5081
299,n= 4201 + 5039
300,n= 4217 + 5023
301,n= 4219 + 5021
302,n= 4229 + 5011
303,n= 4231 + 5009
304,n= 4241 + 4999
305,n= 4253 + 4987
306,n= 4271 + 4969
307,n= 4273 + 4967
308,n= 4283 + 4957
309,n= 4289 + 4951
310,n= 4297 + 4943
311,n= 4337 + 4903
312,n= 4363 + 4877
313,n= 4409 + 4831
314,n= 4423 + 4817
315,n= 4441 + 4799
316,n= 4447 + 4793
317,n= 4451 + 4789
318,n= 4457 + 4783
319,n= 4481 + 4759
320,n= 4507 + 4733
321,n= 4517 + 4723
322,n= 4519 + 4721
323,n= 4549 + 4691
324,n= 4561 + 4679
325,n= 4567 + 4673
326,n= 4583 + 4657
327,n= 4591 + 4649
328,n= 4597 + 4643
329,n= 4603 + 4637
That is all!!!

yangchuanju

n(is a even number)=4620
1,n= 17 + 4603
2,n= 23 + 4597
3,n= 29 + 4591
4,n= 37 + 4583
5,n= 53 + 4567
6,n= 59 + 4561
7,n= 71 + 4549
8,n= 73 + 4547
9,n= 97 + 4523
10,n= 101 + 4519
11,n= 103 + 4517
12,n= 107 + 4513
13,n= 113 + 4507
14,n= 127 + 4493
15,n= 137 + 4483
16,n= 139 + 4481
17,n= 157 + 4463
18,n= 163 + 4457
19,n= 173 + 4447
20,n= 179 + 4441
21,n= 197 + 4423
22,n= 199 + 4421
23,n= 211 + 4409
24,n= 223 + 4397
25,n= 229 + 4391
26,n= 257 + 4363
27,n= 263 + 4357
28,n= 271 + 4349
29,n= 281 + 4339
30,n= 283 + 4337
31,n= 293 + 4327
32,n= 331 + 4289
33,n= 337 + 4283
34,n= 347 + 4273
35,n= 349 + 4271
36,n= 359 + 4261
37,n= 367 + 4253
38,n= 379 + 4241
39,n= 389 + 4231
40,n= 401 + 4219
41,n= 409 + 4211
42,n= 419 + 4201
43,n= 443 + 4177
44,n= 461 + 4159
45,n= 463 + 4157
46,n= 467 + 4153
47,n= 487 + 4133
48,n= 491 + 4129
49,n= 509 + 4111
50,n= 521 + 4099
51,n= 541 + 4079
52,n= 547 + 4073
53,n= 563 + 4057
54,n= 569 + 4051
55,n= 571 + 4049
56,n= 593 + 4027
57,n= 599 + 4021
58,n= 601 + 4019
59,n= 607 + 4013
60,n= 613 + 4007
61,n= 617 + 4003
62,n= 619 + 4001
63,n= 631 + 3989
64,n= 653 + 3967
65,n= 673 + 3947
66,n= 677 + 3943
67,n= 691 + 3929
68,n= 701 + 3919
69,n= 709 + 3911
70,n= 739 + 3881
71,n= 743 + 3877
72,n= 757 + 3863
73,n= 769 + 3851
74,n= 773 + 3847
75,n= 787 + 3833
76,n= 797 + 3823
77,n= 823 + 3797
78,n= 827 + 3793
79,n= 853 + 3767
80,n= 859 + 3761
81,n= 881 + 3739
82,n= 887 + 3733
83,n= 911 + 3709
84,n= 919 + 3701
85,n= 929 + 3691
86,n= 947 + 3673
87,n= 977 + 3643
88,n= 983 + 3637
89,n= 997 + 3623
90,n= 1013 + 3607
91,n= 1039 + 3581
92,n= 1049 + 3571
93,n= 1061 + 3559
94,n= 1063 + 3557
95,n= 1087 + 3533
96,n= 1091 + 3529
97,n= 1093 + 3527
98,n= 1103 + 3517
99,n= 1109 + 3511
100,n= 1129 + 3491
101,n= 1151 + 3469
102,n= 1153 + 3467
103,n= 1163 + 3457
104,n= 1171 + 3449
105,n= 1187 + 3433
106,n= 1213 + 3407
107,n= 1229 + 3391
108,n= 1231 + 3389
109,n= 1249 + 3371
110,n= 1259 + 3361
111,n= 1277 + 3343
112,n= 1289 + 3331
113,n= 1291 + 3329
114,n= 1297 + 3323
115,n= 1301 + 3319
116,n= 1307 + 3313
117,n= 1319 + 3301
118,n= 1321 + 3299
119,n= 1361 + 3259
120,n= 1367 + 3253
121,n= 1399 + 3221
122,n= 1429 + 3191
123,n= 1433 + 3187
124,n= 1439 + 3181
125,n= 1451 + 3169
126,n= 1453 + 3167
127,n= 1483 + 3137
128,n= 1499 + 3121
129,n= 1511 + 3109
130,n= 1531 + 3089
131,n= 1553 + 3067
132,n= 1559 + 3061
133,n= 1571 + 3049
134,n= 1579 + 3041
135,n= 1583 + 3037
136,n= 1597 + 3023
137,n= 1601 + 3019
138,n= 1609 + 3011
139,n= 1619 + 3001
140,n= 1621 + 2999
141,n= 1657 + 2963
142,n= 1663 + 2957
143,n= 1667 + 2953
144,n= 1693 + 2927
145,n= 1723 + 2897
146,n= 1733 + 2887
147,n= 1741 + 2879
148,n= 1759 + 2861
149,n= 1777 + 2843
150,n= 1783 + 2837
151,n= 1787 + 2833
152,n= 1801 + 2819
153,n= 1823 + 2797
154,n= 1831 + 2789
155,n= 1867 + 2753
156,n= 1871 + 2749
157,n= 1879 + 2741
158,n= 1889 + 2731
159,n= 1901 + 2719
160,n= 1907 + 2713
161,n= 1913 + 2707
162,n= 1931 + 2689
163,n= 1933 + 2687
164,n= 1949 + 2671
165,n= 1973 + 2647
166,n= 1987 + 2633
167,n= 1999 + 2621
168,n= 2003 + 2617
169,n= 2011 + 2609
170,n= 2027 + 2593
171,n= 2029 + 2591
172,n= 2063 + 2557
173,n= 2069 + 2551
174,n= 2081 + 2539
175,n= 2089 + 2531
176,n= 2099 + 2521
177,n= 2143 + 2477
178,n= 2153 + 2467
179,n= 2161 + 2459
180,n= 2179 + 2441
181,n= 2203 + 2417
182,n= 2221 + 2399
183,n= 2237 + 2383
184,n= 2239 + 2381
185,n= 2243 + 2377
186,n= 2269 + 2351
187,n= 2273 + 2347
188,n= 2281 + 2339
189,n= 2287 + 2333
190,n= 2309 + 2311
That is all!!!

lusishun

双筛是没有理论依据的，没有倍数含量的概念，没有倍数含量重叠规律，没有等差项同数列的性质，都是无源之水，无根之木。

lusishun

4620的哥猜素数对由公式计算得:
4/9·4/2·……·66/64=2/9·9/7·15/13·21/19·27/23·35/31·39/37·45/43·51/47·57/53·65/61·66
=（待）