请教杨传举先生

lusishun

4996的哥猜素数对知多少?

yangchuanju

A002375-20000
From Goldbach conjecture: number of decompositions of 2n into an unordered sum of two odd primes.

无序二奇素数和
1 0
2 0
3 1
4 1
……
2495 84
2496 126
2497 60
2498 63
2499 144
2500 76
……
19999 323
20000 389

ysr

yangchuanju 发表于 2025-12-14 00:29
A002375-20000
From Goldbach conjecture: number of decompositions of 2n into an unordered sum of two ...

4996的方根为70.6823881882892,方根内有5个，比例（个数/方根）7.07389793717866E-02总数有63个,方根内的:
4996=3+ 4993
23+ 4973
29+ 4967
53+ 4943
59+ 4937

ysr

yangchuanju 发表于 2025-12-14 00:29
A002375-20000
From Goldbach conjecture: number of decompositions of 2n into an unordered sum of two ...

2498的方根为49.9799959983992,方根内有1个，比例（个数/方根）2.00080048032022E-02总数有33个,方根内的:
2498=31+ 2467

ysr

yangchuanju 发表于 2025-12-14 00:29
A002375-20000
From Goldbach conjecture: number of decompositions of 2n into an unordered sum of two ...

4990~5000的计算结果是对的：
4990的方根为70.6399320497974,方根内有6个，比例（个数/方根）8.49377940478526E-02总数有84个,方根内的:
4990=3+ 4987
17+ 4973
23+ 4967
47+ 4943
53+ 4937
59+ 4931
4992的方根为70.6540869306228,方根内有6个，比例（个数/方根）8.49207775608447E-02总数有126个,方根内的:
4992=5+ 4987
19+ 4973
23+ 4969
41+ 4951
59+ 4933
61+ 4931
4994的方根为70.668238976219,方根内有4个，比例（个数/方根）5.66025141980128E-02总数有60个,方根内的:
4994=7+ 4987
37+ 4957
43+ 4951
61+ 4933
4996的方根为70.6823881882892,方根内有5个，比例（个数/方根）7.07389793717866E-02总数有63个,方根内的:
4996=3+ 4993
23+ 4973
29+ 4967
53+ 4943
59+ 4937
4998的方根为70.6965345685345,方根内有8个，比例（个数/方根）0.113159719197334总数有144个,方根内的:
4998=5+ 4993
11+ 4987
29+ 4969
31+ 4967
41+ 4957
47+ 4951
61+ 4937
67+ 4931
5000的方根为70.7106781186548,方根内有5个，比例（个数/方根）7.07106781186548E-02总数有76个,方根内的:
5000=7+ 4993
13+ 4987
31+ 4969
43+ 4957
67+ 4933

ysr

19999*2=39998
39998~40002的计算结果：
39998的方根为199.994999937498,方根内有6个，比例（个数/方根）3.00007500281262E-02总数有323个,方根内的:
39998=19+ 39979
61+ 39937
97+ 39901
151+ 39847
157+ 39841
199+ 39799
40000的方根为200,方根内有10个，比例（个数/方根）0.05总数有389个,方根内的:
40000=11+ 39989
17+ 39983
29+ 39971
47+ 39953
71+ 39929
113+ 39887
131+ 39869
137+ 39863
173+ 39827
179+ 39821
40002的方根为200.004999937502,方根内有10个，比例（个数/方根）0.049998750046873总数有593个,方根内的:
40002=13+ 39989
19+ 39983
23+ 39979
31+ 39971
73+ 39929
101+ 39901
139+ 39863
163+ 39839
173+ 39829
181+ 39821

yangchuanju

n(is a even number)=2498
1,n= 31 + 2467
2,n= 61 + 2437
3,n= 109 + 2389
4,n= 127 + 2371
5,n= 151 + 2347
6,n= 157 + 2341
7,n= 211 + 2287
8,n= 229 + 2269
9,n= 277 + 2221
10,n= 337 + 2161
11,n= 367 + 2131
12,n= 409 + 2089
13,n= 487 + 2011
14,n= 499 + 1999
15,n= 547 + 1951
16,n= 619 + 1879
17,n= 631 + 1867
18,n= 709 + 1789
19,n= 739 + 1759
20,n= 751 + 1747
21,n= 757 + 1741
22,n= 829 + 1669
23,n= 877 + 1621
24,n= 919 + 1579
25,n= 967 + 1531
26,n= 1009 + 1489
27,n= 1039 + 1459
28,n= 1051 + 1447
29,n= 1069 + 1429
30,n= 1117 + 1381
31,n= 1171 + 1327
32,n= 1201 + 1297
33,n= 1249 + 1249
That is all!!!

yangchuanju

n(is a even number)=4996
1,n= 3 + 4993
2,n= 23 + 4973
3,n= 29 + 4967
4,n= 53 + 4943
5,n= 59 + 4937
6,n= 107 + 4889
7,n= 179 + 4817
8,n= 197 + 4799
9,n= 263 + 4733
10,n= 293 + 4703
11,n= 317 + 4679
12,n= 347 + 4649
13,n= 353 + 4643
14,n= 359 + 4637
15,n= 449 + 4547
16,n= 479 + 4517
17,n= 503 + 4493
18,n= 587 + 4409
19,n= 599 + 4397
20,n= 647 + 4349
21,n= 659 + 4337
22,n= 743 + 4253
23,n= 839 + 4157
24,n= 857 + 4139
25,n= 863 + 4133
26,n= 947 + 4049
27,n= 977 + 4019
28,n= 983 + 4013
29,n= 1049 + 3947
30,n= 1163 + 3833
31,n= 1193 + 3803
32,n= 1217 + 3779
33,n= 1229 + 3767
34,n= 1277 + 3719
35,n= 1319 + 3677
36,n= 1373 + 3623
37,n= 1439 + 3557
38,n= 1583 + 3413
39,n= 1607 + 3389
40,n= 1637 + 3359
41,n= 1667 + 3329
42,n= 1697 + 3299
43,n= 1787 + 3209
44,n= 1877 + 3119
45,n= 1907 + 3089
46,n= 1913 + 3083
47,n= 1973 + 3023
48,n= 1997 + 2999
49,n= 2027 + 2969
50,n= 2039 + 2957
51,n= 2069 + 2927
52,n= 2087 + 2909
53,n= 2099 + 2897
54,n= 2153 + 2843
55,n= 2207 + 2789
56,n= 2243 + 2753
57,n= 2267 + 2729
58,n= 2297 + 2699
59,n= 2309 + 2687
60,n= 2333 + 2663
61,n= 2339 + 2657
62,n= 2417 + 2579
63,n= 2447 + 2549
That is all!!!

yangchuanju

大笨猪，2楼给出网页和数据看不懂吗？
《整数序列在线百科全书》OEIS之中各种数据应有尽有，下载也非常容易，其中A002375给出前2万个偶数的单计哥猜数，够你写哥猜论文用的。第1列序数乘以2就是偶数。