证明\(P_i+2P_j\)=2N+1(N≥4）在素数集内有解

独木星空谁 · 发表于 2021-10-17 10:20

m值 n值
90 319
90 347
90 361
90 389
90 391
90 403
90 413
90 431
90 439
90 569
90 571
90 593
90 611
90 751
90 919

独木星空谁 · 发表于 2021-10-17 10:20

m值 n值
92 301
92 311
92 325
92 331
92 341
92 353
92 361
92 367
92 371
92 395
92 397
92 401
92 409
92 419
92 421
92 431
92 445
92 451
92 461
92 481
92 493
92 511
92 523
92 535
92 537
92 541
92 551
92 571
92 577
92 579
92 581
92 595
92 601
92 603
92 619
92 631
92 637
92 669
92 679
92 721
92 761
92 765
92 769
92 787
92 789
92 803
92 821
92 829
92 831
92 859
92 865
92 887
92 905
92 911
92 931
92 933
92 941
92 971
92 979
92 987
92 999
92 1013
92 1021
92 1039
92 1051
92 1057
92 1069
92 1117
92 1141
92 1171
92 1181
92 1189
92 1197
92 1277
92 1301
92 1331
92 1351
92 1355
92 1381
92 1411
92 1485
92 1487
92 1517
92 1519
92 1537
92 1539
92 1561
92 1609
92 1651
92 1669
92 1681
92 1711
92 1733
92 1811
92 1853
92 1891
92 2037
92 2089
92 2113
92 2161
92 2221
92 2233
92 2371
92 2381
92 2443
92 2539
92 2567
92 2581
92 2791
92 2821
92 2915
92 2957
92 3071
92 3139
92 3217
92 3371
92 3379
92 3391
92 3503
92 3769
92 3827
92 3931
92 4483
92 4579
92 5597
92 7087

独木星空谁 · 发表于 2021-10-17 10:20

m值 n值
94 307
94 317
94 331
94 337
94 347
94 359
94 367
94 373
94 377
94 397
94 401
94 403
94 407
94 415
94 425
94 427
94 437
94 443
94 451
94 457
94 467
94 469
94 485
94 491
94 497
94 503
94 527
94 535
94 547
94 557
94 569
94 581
94 587
94 603
94 617
94 623
94 639
94 647
94 653
94 657
94 659
94 673
94 685
94 707
94 723
94 757
94 775
94 779
94 793
94 811
94 813
94 827
94 833
94 835
94 841
94 847
94 863
94 865
94 873
94 877
94 905
94 907
94 911
94 917
94 947
94 953
94 963
94 967
94 977
94 981
94 985
94 997
94 999
94 1003
94 1013
94 1019
94 1029
94 1049
94 1061
94 1073
94 1085
94 1127
94 1133
94 1151
94 1187
94 1195
94 1217
94 1237
94 1247
94 1255
94 1307
94 1337
94 1429
94 1439
94 1459
94 1471
94 1507
94 1523
94 1527
94 1549
94 1607
94 1613
94 1637
94 1673
94 1703
94 1723
94 1757
94 1783
94 1801
94 1819
94 1877
94 1885
94 1933
94 1989
94 2177
94 2287
94 2297
94 2305
94 2465
94 2483
94 2507
94 2561
94 2567
94 2627
94 2717
94 2735
94 3067
94 3203
94 3299
94 3467
94 3517
94 3631
94 3847
94 4195
94 4883
94 5197
94 6119
94 8933

独木星空谁 · 发表于 2021-10-17 10:21

m值 n值
96 313
96 323
96 337
96 343
96 353
96 365
96 373
96 379
96 383
96 403
96 407
96 409
96 413
96 421
96 431
96 433
96 443
96 449
96 457
96 463
96 473
96 475
96 575
96 613
96 623
96 649
96 665
96 815
96 841
96 893
96 917
96 973
96 977
96 991
96 995
96 1013
96 1033
96 1177
96 1201
96 1211
96 1507
96 1753
96 1793
96 2083
96 2113

独木星空谁 · 发表于 2021-10-17 10:21

m值 n值
98 319
98 349
98 359
98 379
98 389
98 409
98 415
98 419
98 437
98 439
98 449
98 463
98 479
98 481
98 499
98 529
98 541
98 547
98 559
98 583
98 589
98 613
98 619
98 635
98 649
98 655
98 659
98 685
98 711
98 779
98 809
98 811
98 829
98 831
98 845
98 855
98 905
98 961
98 965
98 983
98 991
98 1007
98 1009
98 1019
98 1025
98 1041
98 1049
98 1073
98 1079
98 1093
98 1111
98 1159
98 1193
98 1219
98 1237
98 1283
98 1331
98 1399
98 1433
98 1439
98 1469
98 1489
98 1493
98 1579
98 1609
98 1629
98 1637
98 1651
98 1681
98 1711
98 1759
98 1801
98 1807
98 1819
98 2255
98 2389
98 2413
98 2615
98 2629
98 2813
98 2869
98 2917
98 3193
98 3259
98 3401
98 3587
98 4429
98 9271

独木星空谁 · 发表于 2021-10-17 10:22

m值 n值
100 349
100 377
100 391
100 419
100 421
100 433
100 443
100 461
100 469
100 487
100 509
100 521
100 549
100 587
100 591
100 599
100 619
100 621
100 623
100 629
100 641
100 643
100 661
100 671
100 677
100 819
100 829
100 833
100 861
100 937
100 989
100 997
100 1081
100 1091
100 1151
100 1169
100 1193
100 1217
100 1259
100 1289
100 1399
100 1421
100 1507
100 1547
100 1633
100 1639
100 1643
100 1889
100 2117
100 2227
100 2239
100 2261
100 2663
100 2801
100 2827
100 2873
100 3401
100 4127
100 6191
100 7289

独木星空谁 · 发表于 2021-10-17 10:23

截止436#楼，“1+m”中的反例，已经全部列出。m≤100，

独木星空谁 · 发表于 2021-10-17 16:47

素数29 统计1+3 理论占比实际占比占比绝对误差相对误差
0 1185512201297 3.57% 3.57143% 0.000001% 0.00003%
1 1143147884658 3.44% 3.44380% 0.000075% 0.00218%
2 1143217060497 3.44% 3.44401% -0.000133% -0.00387%
3 1143194636389 3.44% 3.44394% -0.000066% -0.00191%
4 1143128078732 3.44% 3.44374% 0.000135% 0.00392%
5 1143195556428 3.44% 3.44395% -0.000068% -0.00199%
6 1143203800480 3.44% 3.44397% -0.000093% -0.00271%
7 1143186564614 3.44% 3.44392% -0.000041% -0.00120%
8 1143189265275 3.44% 3.44393% -0.000049% -0.00144%
9 1143184081648 3.44% 3.44391% -0.000034% -0.00098%
10 1143175947903 3.44% 3.44389% -0.000009% -0.00027%
11 1143168340040 3.44% 3.44386% 0.000014% 0.00039%
12 1143132808822 3.44% 3.44376% 0.000121% 0.00350%
13 1143180225764 3.44% 3.44390% -0.000022% -0.00065%
14 1143181525333 3.44% 3.44390% -0.000026% -0.00076%
15 1143156418294 3.44% 3.44383% 0.000049% 0.00144%
16 1143172820723 3.44% 3.44388% 0.000000% 0.00000%
17 1143204283189 3.44% 3.44397% -0.000095% -0.00275%
18 1143202891676 3.44% 3.44397% -0.000091% -0.00263%
19 1143186432964 3.44% 3.44392% -0.000041% -0.00119%
20 1143136839645 3.44% 3.44377% 0.000108% 0.00315%
21 1143187955871 3.44% 3.44392% -0.000046% -0.00132%
22 1143165341715 3.44% 3.44385% 0.000023% 0.00066%
23 1143155542484 3.44% 3.44383% 0.000052% 0.00151%
24 1143188678469 3.44% 3.44393% -0.000048% -0.00139%
25 1143236717751 3.44% 3.44407% -0.000192% -0.00559%
26 1143086909854 3.44% 3.44362% 0.000259% 0.00752%
27 1143135558451 3.44% 3.44377% 0.000112% 0.00326%
28 1143137825150 3.44% 3.44377% 0.000105% 0.00306%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-17 16:48

素数29 统计1+4 理论占比实际占比占比绝对误差相对误差
0 1185512191410 3.57% 3.57143% 0.000001% 0.00003%
1 1143176634594 3.44% 3.44389% -0.000011% -0.00033%
2 1143147891069 3.44% 3.44380% 0.000075% 0.00218%
3 1143207216605 3.44% 3.44398% -0.000104% -0.00301%
4 1143115801436 3.44% 3.44371% 0.000172% 0.00499%
5 1143186711936 3.44% 3.44392% -0.000042% -0.00121%
6 1143228928332 3.44% 3.44405% -0.000169% -0.00491%
7 1143158962143 3.44% 3.44384% 0.000042% 0.00121%
8 1143181159009 3.44% 3.44390% -0.000025% -0.00073%
9 1143165329654 3.44% 3.44385% 0.000023% 0.00066%
10 1143136287128 3.44% 3.44377% 0.000110% 0.00320%
11 1143160223728 3.44% 3.44384% 0.000038% 0.00110%
12 1143211691201 3.44% 3.44399% -0.000117% -0.00340%
13 1143243485584 3.44% 3.44409% -0.000213% -0.00618%
14 1143173451312 3.44% 3.44388% -0.000002% -0.00005%
15 1143138315674 3.44% 3.44377% 0.000104% 0.00302%
16 1143162867972 3.44% 3.44385% 0.000030% 0.00087%
17 1143077033981 3.44% 3.44359% 0.000289% 0.00838%
18 1143160634777 3.44% 3.44384% 0.000037% 0.00107%
19 1143156496791 3.44% 3.44383% 0.000049% 0.00143%
20 1143225572516 3.44% 3.44404% -0.000159% -0.00461%
21 1143164464469 3.44% 3.44385% 0.000025% 0.00073%
22 1143224966108 3.44% 3.44403% -0.000157% -0.00456%
23 1143183894226 3.44% 3.44391% -0.000033% -0.00097%
24 1143211172106 3.44% 3.44399% -0.000115% -0.00335%
25 1143214169257 3.44% 3.44400% -0.000124% -0.00362%
26 1143106756314 3.44% 3.44368% 0.000199% 0.00578%
27 1143151655121 3.44% 3.44381% 0.000064% 0.00185%
28 1143168229663 3.44% 3.44386% 0.000014% 0.00040%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

独木星空谁 · 发表于 2021-10-17 16:48

素数29 统计1+5 理论占比实际占比占比绝对误差相对误差
0 1185512293976 3.57% 3.57143% 0.000001% 0.00002%
1 1143181627737 3.44% 3.44390% -0.000026% -0.00077%
2 1143185857726 3.44% 3.44392% -0.000039% -0.00114%
3 1143215852172 3.44% 3.44401% -0.000130% -0.00376%
4 1143145165587 3.44% 3.44379% 0.000083% 0.00242%
5 1143177281088 3.44% 3.44389% -0.000013% -0.00039%
6 1143204835604 3.44% 3.44397% -0.000096% -0.00280%
7 1143197570720 3.44% 3.44395% -0.000074% -0.00216%
8 1143151881340 3.44% 3.44381% 0.000063% 0.00183%
9 1143204913412 3.44% 3.44397% -0.000097% -0.00281%
10 1143169677432 3.44% 3.44387% 0.000010% 0.00028%
11 1143171543758 3.44% 3.44387% 0.000004% 0.00011%
12 1143169198298 3.44% 3.44387% 0.000011% 0.00032%
13 1143222896343 3.44% 3.44403% -0.000151% -0.00438%
14 1143093987902 3.44% 3.44364% 0.000238% 0.00690%
15 1143173990766 3.44% 3.44388% -0.000003% -0.00010%
16 1143183002800 3.44% 3.44391% -0.000031% -0.00089%
17 1143114515322 3.44% 3.44370% 0.000176% 0.00510%
18 1143186250673 3.44% 3.44392% -0.000040% -0.00117%
19 1143138855282 3.44% 3.44378% 0.000102% 0.00297%
20 1143164020933 3.44% 3.44385% 0.000027% 0.00077%
21 1143166203540 3.44% 3.44386% 0.000020% 0.00058%
22 1143223690585 3.44% 3.44403% -0.000153% -0.00445%
23 1143186062392 3.44% 3.44392% -0.000040% -0.00116%
24 1143174585562 3.44% 3.44388% -0.000005% -0.00015%
25 1143246278780 3.44% 3.44410% -0.000221% -0.00642%
26 1143100696302 3.44% 3.44366% 0.000217% 0.00631%
27 1143134816254 3.44% 3.44376% 0.000115% 0.00333%
28 1143154641830 3.44% 3.44382% 0.000055% 0.00159%
合计 33194352194116 100.00% 100.00000% 0.000000% 0.00000%

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