欧拉公式的新应用（下界公式）

柳林 · 发表于 2019-3-9 21:05

我有一个计算方法，计算结果如下：

素数近似密度区间欧拉计算值柳林计算值实际值誤差率
3 33.3333 9          3.0          4.0 4 -0.72
5 26.6667 25          6.7          8.6          9 -4.67
7 22.8571 49          11.2       14.0       15 -6.49
11 20.7792 121          25.1       28.7       30 -4.30
13 19.1808 169          32.4          36.8       39 -5.62
17 18.0525 289    52.2          57.1       61 -6.34
19 17.1024 361          61.7          67.4          72 -6.33
23 16.3588 529       86.5          92.6 99 -6.43
29 15.7947 841          132.8 138.8 146 -4.93
31 15.2852 961          146.9 153.4 162 -5.29
37 14.8721 1369          203.6 209.7 219 -4.26
41 14.5094 1681          243.9 249.8 263 -5.00
43 14.1719 1849          262.0 268.4 283 -5.17
47 13.8704 2209          306.4 312.4 329 -5.04
53 13.6087 2809          382.3 387.1 409 -5.34
59 13.3780 3481          465.7 469.1 487 -3.67
61 13.1587 3721          489.6 493.2 519 -4.97
67 12.9623 4489       581.9 583.7 609 -4.16
71 12.7798 5041    644.2 645.1 675 -4.44
73 12.6047 5329          671.7 672.5 705 -4.61
79 12.4451 6241          776.7 775.2 811 -4.41
83 12.2952 6889          847.0 844.2 886 -4.72
89 12.1571 7921          963.0 957.4 1000 -4.26
97 12.0317 9409          1132.1 1122.1 1163 -3.51
101 11.9126 10201 1215.2 1203.4 1252 -3.88
103 11.7969 10609 1251.5 1239.3 1294 -4.23
107 11.6867 11449 1338.0 1323.7 1381 -4.15
109 11.5795 11881 1375.8 1360.9 1423 -4.36
113 11.4770 12769 1465.5 1448.4 1523 -4.90
127 11.3866 16129 1836.6 1808.4 1877 -3.66
131 11.2997 17161 1939.1 1908.3 1976 -3.43
137 11.2172 18769 2105.4 2069.7 2141 -3.33
139 11.1365 19321 2151.7 2115.0 2190 -3.42
149 11.0618 22201 2455.8 2409.8 2489 -3.18
151 10.9885 22801 2505.5 2458.3 2547 -3.48
157 10.9185 24649 2691.3 2638.4 2729 -3.32
163 10.8516 26569 2883.2 2824.3 2915 -3.11
167 10.7866 27889 3008.3 2945.7 3043 -3.20
173 10.7242 29929 3209.7 3140.7 3241 -3.09
179 10.6643 32041 3417.0 3341.4 3436 -2.75
181 10.6054 32761 3474.4 3397.3 3512 -3.27
191 10.5499 36481 3848.7 3759.1 3868 -2.81
193 10.4952 37249 3909.4 3818.0 3945 -3.22
197 10.4419 38809 4052.4 3956.4 4089 -3.24
199 10.3895 39601 4114.3 4016.5 4164 -3.54
211 10.3402 44521 4603.6 4489.0 4627 -2.98
223 10.2939 49729 5119.0 4986.7 5106 -2.34
227 10.2485 51529 5281.0 5143.1 5274 -2.48
229 10.2038 52441 5351.0 5210.8 5356 -2.71
233 10.1600 54289 5515.7 5369.9 5522 -2.75
239 10.1175 57121 5779.2 5624.2 5792 -2.90
241 10.0755 58081 5851.9 5694.5 5882 -3.19
251 10.0353 63001 6322.4 6148.1 6320 -2.72
257 9.9963 66049 6602.4 6418.2 6595 -2.68
263 9.9583 69169 6888.0 6693.6 6869 -2.55
269 9.9213 72361 7179.1 6974.1 7161 -2.61
271 9.8846 73441 7259.4 7051.5 7252 -2.76
277 9.8490 76729 7557.0 7338.3 7544 -2.73
281 9.8139 78961 7749.2 7523.4 7743 -2.84
283 9.7792 80089 7832.1 7603.2 7842 -3.04
293 9.7459 85849 8366.7 8118.1 8354 -2.82
307 9.7141 94249 9155.5 8877.5 9089 -2.33
311 9.6829 96721 9365.4 9079.5 9309 -2.47
313 9.6519 97969 9455.9 9166.6 9416 -2.65
317 9.6215 100489 9668.5 9371.1 9631 -2.70

柳林 · 发表于 2019-3-9 21:07

素数近似密度区间欧拉计算值柳林计算值实际值誤差率
331 9.5924 109561 10509.6 10180.4 10415 -2.25
337 9.564 113569 10861.7 10519.1 10756 -2.2
347 9.5364 120409 11482.7 11116.4 11335 -1.93
349 9.5091 121801 11582.1 11211.8 11460 -2.17
353 9.4821 124609 11815.6 11436.2 11701 -2.26
359 9.4557 128881 12186.6 11792.8 12064 -2.25
367 9.43 134689 12701.1 12287.3 12553 -2.12
373 9.4047 139129 13084.6 12655.8 12934 -2.15
379 9.3799 143641 13473.3 13029.3 13314 -2.14
383 9.3554 146689 13723.3 13269.2 13566 -2.19
389 9.3313 151321 14120.2 13650.5 13960 -2.22
397 9.3078 157609 14670 14178.5 14490 -2.15
401 9.2846 160801 14929.7 14427.8 14752 -2.2
409 9.2619 167281 15493.4 14969.1 15283 -2.05
419 9.2398 175561 16221.5 15668.3 15953 -1.78
421 9.2179 177241 16337.8 15779.6 16104 -2.01
431 9.1965 185761 17083.4 16495.5 16813 -1.89
433 9.1752 187489 17202.5 16609.3 16964 -2.09
439 9.1543 192721 17642.3 17031.2 17388 -2.05
443 9.1337 196249 17924.7 17301.9 17678 -2.13
449 9.1133 201601 18372.5 17731.4 18108 -2.08
457 9.0934 208849 18991.4 18325.2 18707 -2.04
461 9.0737 212521 19283.4 18604.9 19012 -2.14
463 9.0541 214369 19409.1 18724.9 19157 -2.26
467 9.0347 218089 19703.6 19007 19451 -2.28
479 9.0158 229441 20686 19949.4 20385 -2.14
487 8.9973 237169 21338.8 20575.4 20997 -2.01
491 8.979 241081 21646.6 20870.1 21310 -2.06
499 8.961 249001 22312.9 21508.8 21964 -2.07
503 8.9432 253009 22627 21809.5 22282 -2.12
509 8.9256 259081 23124.5 22286.1 22765 -2.1
521 8.9085 271441 24181.2 23299.2 23760 -1.94
523 8.8914 273529 24320.6 23432.1 23925 -2.06
541 8.875 292681 25975.4 25018.8 25438 -1.65
547 8.8588 299209 26506.2 25527 25936 -1.58
557 8.8429 310249 27434.9 26416.9 26820 -1.5
563 8.8272 316969 27979.3 26938.1 27356 -1.53
569 8.8116 323761 28528.7 27463.9 27903 -1.57
571 8.7962 326041 28679.2 27607.3 28092 -1.73
577 8.781 332929 29234.4 28138.6 28632 -1.72
587 8.766 344569 30204.9 29068.2 29544 -1.61
593 8.7512 351649 30773.6 29612.3 30103 -1.63
599 8.7366 358801 31347 30160.9 30667 -1.65
601 8.7221 361201 31504.2 30310.5 30835 -1.7
607 8.7077 368449 32083.5 30864.6 31417 -1.76
613 8.6935 375769 32667.5 31423.2 31973 -1.72
617 8.6794 380689 33041.6 31780.5 32349 -1.76
619 8.6654 383161 33202.4 31933.4 32538 -1.86
631 8.6517 398161 34447.5 33125.5 33713 -1.74
641 8.6382 410881 35492.6 34125.6 34681 -1.6
643 8.6247 413449 35658.8 34283.6 34875 -1.7
647 8.6114 418609 36048.1 34655.3 35278 -1.77
653 8.5982 426409 36663.5 35243.6 35880 -1.77
659 8.5852 434281 37283.7 35836.4 36503 -1.83
661 8.5722 436921 37453.6 35997.8 36714 -1.95
673 8.5594 452929 38768.2 37255.6 37933 -1.79
677 8.5468 458329 39172.4 37641.3 38337 -1.81
683 8.5343 466489 39811.5 38252 38950 -1.79
691 8.5219 477481 40690.6 39092.4 39809 -1.8
701 8.5098 491401 41817.1 40169.7 40874 -1.72
709 8.4978 502681 42716.7 41029.6 41737 -1.69
719 8.4859 516961 43869 42131.5 42820 -1.61
727 8.4743 528529 44789 43010.7 43715 -1.61
733 8.4627 537289 45469.2 43660.4 44381 -1.62
739 8.4513 546121 46154.1 44314.4 45030 -1.59
743 8.4399 552049 46592.3 44732.2 45481 -1.65
751 8.4287 564001 47537.7 45635.5 46369 -1.58
757 8.4175 573049 48236.5 46302.7 47064 -1.62
761 8.4065 579121 48683.5 46728.8 47520 -1.66
769 8.3955 591361 49647.9 47650 48446 -1.64
773 8.3847 597529 50100.8 48081.7 48916 -1.71
787 8.374 619369 51866 49769.1 50568 -1.58
797 8.3635 635209 53125.7 50972.7 51730 -1.46
809 8.3532 654481 54669.9 52448.3 53156 -1.33
811 8.3429 657721 54872.8 52640.5 53397 -1.42
821 8.3327 674041 56165.8 53875.7 54614 -1.35
823 8.3226 677329 56371.2 54070.3 54858 -1.44
827 8.3125 683929 56851.7 54527.9 55356 -1.5
829 8.3025 687241 57058.1 54723.4 55602 -1.58
839 8.2926 703921 58373.3 55979.4 56836 -1.51
853 8.2829 727609 60266.9 57788.6 58608 -1.4
857 8.2732 734449 60762.5 58260.5 59113 -1.44
859 8.2636 737881 60975.3 58462 59372 -1.53
863 8.254 744769 61473.2 58936 59862 -1.55
877 8.2446 769129 63411.5 60787.4 61670 -1.43
881 8.2352 776161 63918.6 61270.2 62182 -1.47
883 8.2259 779689 64136.4 61476.3 62444 -1.55
887 8.2166 786769 64645.9 61961.2 62968 -1.6
907 8.2076 822649 67519.5 64706.4 65616 -1.39
911 8.1986 829921 68041.6 65203.2 66156 -1.44
919 8.1896 844561 69166.5 66276.4 67230 -1.42
929 8.1808 863041 70603.8 67648.1 68578 -1.36
937 8.1721 877969 71748.4 68739.8 69669 -1.33
941 8.1634 885481 72285.4 69250.7 70221 -1.38
947 8.1548 896809 73132.9 70058.3 71052 -1.4
953 8.1462 908209 73984.8 70870.1 71879 -1.4
967 8.1378 935089 76095.7 72885.1 73843 -1.3
971 8.1294 942841 76647.5 73410 74399 -1.33
977 8.1211 954529 77518.3 74239.5 75236 -1.32
983 8.1128 966289 78393.5 75073.3 76082 -1.33
991 8.1047 982081 79594.3 76218.2 77214 -1.29
997 8.0965 994009 80480.2 77062.1 78060 -1.28
1009 8.0885 1018081 82347.5 78843.5 79830 -1.24
1013 8.0805 1026169 82919.8 79387.6 80426 -1.29
1019 8.0726 1038361 83822.6 80247.5 81298 -1.29
1021 8.0647 1042441 84069.5 80480.7 81588 -1.36
1031 8.0569 1062961 85641.3 81979.4 83030 -1.27
1033 8.0491 1067089 85890.6 82214.9 83334 -1.34
1039 8.0413 1079521 86807.7 83088.1 84231 -1.36
1049 8.0336 1100401 88402.3 84608.5 85747 -1.33
1051 8.026 1104601 88655.3 84847.3 86047 -1.39
1061 8.0184 1125721 90265.2 86382.1 87572 -1.36
1063 8.0109 1129969 90520.6 86623.1 87883 -1.43
1069 8.0034 1142761 91459.7 87517.1 88792 -1.44
1087 7.996 1181569 94478.7 90397.1 91613 -1.33
1091 7.9887 1190281 95088.1 90976 92243 -1.37
1093 7.9814 1194649 95349.7 91222.9 92557 -1.44
1097 7.9741 1203409 95961.3 91803.9 93168 -1.46
1103 7.9669 1216609 96926 92722 94102 -1.47
1109 7.9597 1229881 97895 93644.1 95042 -1.47
1117 7.9526 1247689 99223.5 94909.4 96295 -1.44
1123 7.9455 1261129 100203.1 95841.5 97262 -1.46
1129 7.9385 1274641 101186.9 96777.6 98238 -1.49
1151 7.9316 1324801 105077.5 100488.3 101789 -1.28
1153 7.9247 1329409 105351.5 100746.7 102107 -1.33
1163 7.9179 1352569 107094.7 102407.4 103733 -1.28
1171 7.9111 1371241 108480.4 103726.7 105060 -1.27
1181 7.9044 1394761 110247.7 105410.2 106722 -1.23
1187 7.8978 1408969 111276.9 106389.1 107733 -1.25
1193 7.8911 1423249 112310.5 107372.2 108709 -1.23
1201 7.8846 1442401 113727.1 108720.7 110094 -1.25
1213 7.8781 1471369 115915.4 110805.6 112130 -1.18
1217 7.8716 1481089 116585.3 111441.4 112829 -1.23
1223 7.8652 1495729 117641.4 112445.7 113872 -1.25
1229 7.8588 1510441 118701.9 113454.1 114924 -1.28
1231 7.8524 1515361 118991.8 113727.3 115265 -1.33
1237 7.846 1530169 120057.4 114740.5 116292 -1.33
1249 7.8397 1560001 122300.1 116876.5 118376 -1.27
1259 7.8335 1585081 124167.6 118654.6 120111 -1.21
1277 7.8274 1630729 127643.4 121966.8 123301 -1.08
1279 7.8213 1635841 127943.4 122249.3 123673 -1.15
1283 7.8152 1646089 128644.6 122914.6 124364 -1.17
1289 7.8091 1661521 129749.9 123965.2 125436 -1.17
1291 7.8031 1666681 130052 124249.7 125796 -1.23
1297 7.797 1682209 131162.5 125305.2 126905 -1.26
1301 7.791 1692601 131871.3 125977.5 127612 -1.28
1303 7.7851 1697809 132175.5 126264 127978 -1.34
1307 7.7791 1708249 132886.5 126938.3 128713 -1.38
1319 7.7732 1739761 135235.3 129174.4 130884 -1.31
1321 7.7673 1745041 135543 129464.1 131240 -1.35
1327 7.7615 1760929 136674 130538.8 132352 -1.37
1361 7.7558 1852321 143661.8 137197.9 138709 -1.09
1367 7.7501 1868689 144825.2 138303.3 139871 -1.12
1373 7.7445 1885129 145992.9 139412.7 140994 -1.12
1381 7.7388 1907161 147592.2 140933.6 142509 -1.11
1399 7.7333 1957201 151356.5 144518.3 146003 -1.02
1409 7.7278 1985281 153419 146480.6 147905 -0.96
1423 7.7224 2024929 156373 149292.6 150667 -0.91
1427 7.717 2036329 157143.1 150022.6 151463 -0.95
1429 7.7116 2042041 157473.7 150333.5 151844 -0.99
1433 7.7062 2053489 158246 151065.6 152618 -1.02
1439 7.7008 2070721 159463 152221.4 153820 -1.04
1447 7.6955 2093809 161129.6 153805.7 155394 -1.02
1451 7.6902 2105401 161910 154545.3 156185 -1.05
1453 7.6849 2111209 162244.9 154860.3 156589 -1.1
1459 7.6797 2128681 163475.5 156028.8 157786 -1.11
1471 7.6744 2163841 166062.7 158490.2 160224 -1.08
1481 7.6693 2193361 168214.5 160536.6 162231 -1.04
1483 7.6641 2199289 168555.4 160857.1 162622 -1.09
1487 7.6589 2211169 169351.9 161611.8 163451 -1.13
1489 7.6538 2217121 169693.7 161933.1 163840 -1.16
1493 7.6487 2229049 170492.4 162689.8 164653 -1.19
1499 7.6436 2247001 171750.8 163884.5 165873 -1.2

柳林 · 发表于 2019-3-9 21:08

素数近似密度区间欧拉计算值柳林计算值实际值誤差率
1511 7.6385 2283121 174396.2 166400.6 168364 -1.17
1523 7.6335 2319529 177060.9 168934.9 170833 -1.11
1531 7.6285 2343961 178809 170596 172482 -1.09
1543 7.6236 2380849 181505.3 173160.2 174979 -1.04
1549 7.6186 2399401 182801.6 174390.5 176260 -1.06
1553 7.6137 2411809 183628.6 175173.8 177081 -1.08
1559 7.6088 2430481 184931.5 176410.4 178355 -1.09
1567 7.604 2455489 186715.1 178104.8 180057 -1.08
1571 7.5991 2468041 187550.1 178895.5 180914 -1.12
1579 7.5943 2493241 189345.1 180600.6 182605 -1.1
1583 7.5895 2505889 190185.4 181396.3 183477 -1.13
1597 7.5848 2550409 193443.1 184494.4 186487 -1.07
1601 7.58 2563201 194291.9 185298 187359 -1.1
1607 7.5753 2582449 195629.1 186566.8 188693 -1.13
1609 7.5706 2588881 195994.4 186910 189124 -1.17
1613 7.5659 2601769 196848 187718.1 189991 -1.2
1619 7.5613 2621161 198192.7 188993.8 191292 -1.2
1621 7.5566 2627641 198560.1 189338.9 191725 -1.24
1627 7.5519 2647129 199909.8 190619.3 193060 -1.26
1637 7.5473 2679769 202251.1 192843.9 195264 -1.24
1657 7.5428 2745649 207098.2 197454.4 199710 -1.13
1663 7.5382 2765569 208475.3 198760.6 201049 -1.14
1667 7.5337 2778889 209353.8 199592 201942 -1.16
1669 7.5292 2785561 209730.7 199945.9 202392 -1.21
1693 7.5248 2866249 215678.4 205603.5 207872 -1.09
1697 7.5203 2879809 216571 206448.3 208757 -1.11
1699 7.5159 2886601 216954 206807.8 209219 -1.15
1709 7.5115 2920681 219387 209118.9 211507 -1.13
1721 7.5071 2961841 222349.5 211933.9 214235 -1.07
1723 7.5028 2968729 222737.2 212297.8 214712 -1.12
1733 7.4985 3003289 225200.2 214637 217039 -1.11
1741 7.4941 3031081 227153.6 216491.2 218885 -1.09
1747 7.4899 3052009 228591 217854.2 220264 -1.09
1753 7.4856 3073009 230032.6 219221 221668 -1.1
1759 7.4813 3094081 231478.3 220591.7 223119 -1.13
1777 7.4771 3157729 236107.1 224991.9 227374 -1.05
1783 7.4729 3179089 237570.9 226379.7 228793 -1.05
1787 7.4687 3193369 238504.4 227262.8 229759 -1.09
1789 7.4646 3200521 238905 227638.5 230253 -1.14
1801 7.4604 3243601 241986.3 230565.4 233151 -1.11
1811 7.4563 3279721 244545.9 232995.8 235569 -1.09
1823 7.4522 3323329 247661.5 235955.1 238457 -1.05
1831 7.4481 3352561 249703.5 237892.6 240390 -1.04
1847 7.4441 3411409 253949 241926.9 244320 -0.98
1861 7.4401 3463321 257674.9 245466.5 247769 -0.93
1867 7.4361 3485689 259200.1 246912.1 249205 -0.92
1871 7.4321 3500641 260172.9 247831.9 250184 -0.94
1873 7.4282 3508129 260590.2 248223.2 250677 -0.98
1877 7.4242 3523129 261565 249144.9 251663 -1
1879 7.4203 3530641 261983.2 249537.1 252135 -1.03
1889 7.4163 3568321 264639 252057.9 254640 -1.01
1901 7.4124 3613801 267870.9 255126.9 257679 -0.99
1907 7.4086 3636649 269423.2 256597.7 259209 -1.01
1913 7.4047 3659569 270979.5 258072.4 260691 -1
1931 7.4008 3728761 275960 262804.3 265317 -0.95
1933 7.397 3736489 276388.8 263206.3 265841 -0.99
1949 7.3932 3798601 280839.1 267433.5 269893 -0.91
1951 7.3894 3806401 281271.5 267838.8 270415 -0.95
1973 7.3857 3892729 287504.9 273761.8 276116 -0.85
1979 7.382 3916441 289110 275282.4 277688 -0.87
1987 7.3782 3948169 291305.5 277364.5 279793 -0.87
1993 7.3745 3972049 292920.4 278894.2 281338 -0.87
1997 7.3708 3988009 293950.1 279867.3 282376 -0.89
1999 7.3672 3996001 294391.8 280281.3 282898 -0.92
2003 7.3635 4012009 295423.6 281256.3 283945 -0.95
2011 7.3598 4044121 297640.1 283358 286090 -0.95
2017 7.3562 4068289 299270.3 284902.1 287671 -0.96
2027 7.3525 4108729 302096.1 287582.9 290343 -0.95
2029 7.3489 4116841 302543.3 288001.9 290875 -0.99
2039 7.3453 4157521 305383 290695.9 293511 -0.96
2053 7.3417 4214809 309440.2 294547.5 297297 -0.92
2063 7.3382 4255969 312310.6 297270.4 299985 -0.9
2069 7.3346 4280761 313978.1 298849.4 301593 -0.91
2081 7.3311 4330561 317478.1 302170.8 304827 -0.87
2083 7.3276 4338889 317935.9 302599.6 305370 -0.91
2087 7.3241 4355569 319005.2 303609.8 306446 -0.93
2089 7.3206 4363921 319463.9 304039.4 306985 -0.96
2099 7.3171 4405801 322376.1 306801.5 309719 -0.94
2111 7.3136 4456321 325918.3 310162.4 313074 -0.93
2113 7.3102 4464769 326381.6 310596.3 313630 -0.97
2129 7.3067 4532641 331187.5 315158.4 318048 -0.91
2131 7.3033 4541161 331654.3 315595.5 318600 -0.94
2137 7.2999 4566769 333368.5 317218.3 320277 -0.96
2141 7.2965 4583881 334461.3 318250.4 321398 -0.98
2143 7.2931 4592449 334930.1 318689.3 321953 -1.01
2153 7.2897 4635409 337906.2 321511.5 324753 -1
2161 7.2863 4669921 340264.5 323746.3 326983 -0.99
2179 7.283 4748041 345797.8 328998.8 332098 -0.93
2203 7.2797 4853209 353296.7 336119.4 338913 -0.82
2207 7.2764 4870849 354420.1 337180.2 340059 -0.85
2213 7.2731 4897369 356188.8 338854.2 341812 -0.87
2221 7.2698 4932841 358607.2 341145.7 344122 -0.86
2237 7.2665 5004169 363629.9 345912.2 348785 -0.82
2239 7.2633 5013121 364117.7 346368.7 349348 -0.85
2243 7.2601 5031049 365257 347444.3 350515 -0.88
2251 7.2568 5067001 367703.7 349762.3 352828 -0.87
2267 7.2536 5139289 372785 354583.9 357505 -0.82
2269 7.2504 5148361 373278.5 355045.6 358094 -0.85
2273 7.2472 5166529 374430.9 356133.6 359263 -0.87
2281 7.2441 5202961 376905.9 358478.2 361605 -0.86
2287 7.2409 5230369 378725.7 360200.1 363390 -0.88
2293 7.2377 5257849 380549.5 361925.8 365180 -0.89
2297 7.2346 5276209 381712.1 363023.1 366374 -0.91
2309 7.2315 5331481 385543.7 366656.4 369931 -0.89
2311 7.2283 5340721 386044.8 367125.2 370534 -0.92
2333 7.2252 5442889 393261.2 373974.1 377116 -0.83
2339 7.2221 5470921 395117.6 375730.4 378924 -0.84
2341 7.2191 5480281 395624.5 376204.5 379519 -0.87
2347 7.216 5508409 397485.7 377965.2 381346 -0.89
2351 7.2129 5527201 398672 379084.8 382516 -0.9
2357 7.2098 5555449 400539.5 380851.4 384320 -0.9
2371 7.2068 5621641 405140.9 385215.1 388573 -0.86
2377 7.2038 5650129 407022.7 386995.1 390388 -0.87
2381 7.2008 5669161 408222.2 388127 391595 -0.89
2383 7.1977 5678689 408736.7 388608.1 392210 -0.92
2389 7.1947 5707321 410625.6 390394.7 394077 -0.93
2393 7.1917 5726449 411829.6 391530.8 395315 -0.96
2399 7.1887 5755201 413724.9 393323.3 397167 -0.97
2411 7.1857 5812921 417700.9 397092.1 400831 -0.93
2417 7.1828 5841889 419608.7 398896.5 402668 -0.94
2423 7.1798 5870929 421520.6 400704.6 404528 -0.95
2437 7.1768 5938969 426230.7 405170.4 408975 -0.93
2441 7.1739 5958481 427455.9 406326.2 410213 -0.95
2447 7.171 5987809 429384.3 408149.8 412089 -0.96
2459 7.1681 6046681 433429.7 411983.8 415837 -0.93
2467 7.1652 6086089 436077.6 414490.6 418333 -0.92
2473 7.1623 6115729 438024.2 416331.3 420264 -0.94
2477 7.1594 6135529 439264.9 417501.6 421519 -0.95
2503 7.1565 6265009 448355.7 426126.3 429799 -0.85
2521 7.1537 6355441 454647 432092.5 435608 -0.81
2531 7.1508 6405961 458080 435344.3 438791 -0.79
2539 7.148 6446521 460798.8 437917.8 441352 -0.78
2543 7.1452 6466849 462070.1 439116.8 442663 -0.8
2549 7.1424 6497401 464071 441008.5 444592 -0.81
2551 7.1396 6507601 464617.3 441519 445249 -0.84
2557 7.1368 6538249 466622.9 443415 447203 -0.85
2579 7.134 6651241 474502.8 450888.5 454411 -0.78
2591 7.1313 6713281 478744 454906.8 458358 -0.75
2593 7.1285 6723649 479298.4 455424.9 459034 -0.79
2609 7.1258 6806881 485045.7 460873 464313 -0.74
2617 7.1231 6848689 487838.3 463515.8 466980 -0.74
2621 7.1204 6869641 489144.1 464747 468352 -0.77
2633 7.1177 6932689 493445.9 468822.4 472342 -0.75
2647 7.115 7006609 498518.8 473629.8 477055 -0.72
2657 7.1123 7059649 502103.6 477024.2 480474 -0.72
2659 7.1096 7070281 502670.6 477553.9 481112 -0.74
2663 7.107 7091569 503994.8 478802.3 482494 -0.77
2671 7.1043 7134241 506837.7 481492.2 485166 -0.76
2677 7.1016 7166329 508927.1 483467 487196 -0.77
2683 7.099 7198489 511020.4 485445.3 489219 -0.77
2687 7.0964 7219969 512354.6 486703 490579 -0.79
2689 7.0937 7230721 512926.7 487237.4 491253 -0.82
2693 7.0911 7252249 514262.8 488496.8 492633 -0.84
2699 7.0885 7284601 516365.6 490483.8 494685 -0.85
2707 7.0858 7327849 519239.3 493202.6 497422 -0.85
2711 7.0832 7349521 520582.8 494469 498771 -0.86
2713 7.0806 7360369 521159.1 495007.1 499460 -0.89
2719 7.078 7392961 523274.2 497005.7 501520 -0.9
2729 7.0754 7447441 526937.2 500473.1 504976 -0.89
2731 7.0728 7458361 527516.6 501014.2 505660 -0.92
2741 7.0702 7513081 531193 504494.2 509067 -0.9
2749 7.0677 7557001 534103.9 507247.7 511864 -0.9
2753 7.0651 7579009 535464.7 508530.2 513227 -0.92
2767 7.0625 7656289 540729.2 513516.9 518134 -0.89
2777 7.06 7711729 544448.5 517037.2 521637 -0.88
2789 7.0575 7778521 548967.1 521316 525815 -0.86
2791 7.0549 7789681 549557.8 521867.4 526500 -0.88
2797 7.0524 7823209 551725.8 523915.5 528632 -0.89
2801 7.0499 7845601 553107.5 525217.4 530059 -0.91
2803 7.0474 7856809 553700 525770.5 530763 -0.94
2819 7.0449 7946761 559840.6 531587.6 536452 -0.91
2833 7.0424 8025889 565215.5 536678.2 541404 -0.87
2837 7.0399 8048569 566612.9 537994.8 542811 -0.89
2843 7.0374 8082649 568812 540071.9 544954 -0.9
2851 7.035 8128201 571817.1 542913.7 547827 -0.9
2857 7.0325 8162449 574025.4 544999.5 549953 -0.9
2861 7.0301 8185321 575432.7 546325.3 551405 -0.92
2879 7.0276 8288641 582493.7 553014.7 557900 -0.88
2887 7.0252 8334769 585532.6 555888.1 560779 -0.87
2897 7.0228 8392609 589392.4 559540.4 564420 -0.86
2903 7.0203 8427409 591632.4 561655.9 566584 -0.87
2909 7.0179 8462281 593876.4 563775 568752 -0.88
2917 7.0155 8508889 596942.6 566674.1 571684 -0.88
2927 7.0131 8567329 600837.1 570358.9 575360 -0.87
2939 7.0107 8637721 605567.6 574836.6 579814 -0.86
2953 7.0084 8720209 611143.6 580116 584998 -0.83
2957 7.006 8743849 612593.2 581481.3 586482 -0.85
2963 7.0036 8779369 614874.1 583635.1 588704 -0.86
2969 7.0013 8814961 617158.9 585792.6 590938 -0.87
2971 6.9989 8826841 617782.6 586374.4 591684 -0.9
2999 6.9966 8994001 629272.1 597262 602108 -0.8
3001 6.9942 9006001 629901.7 597849.4 602829 -0.83
3011 6.9919 9066121 633896.1 601627.9 606539 -0.81
3019 6.9896 9114361 637057.9 604616.7 609559 -0.81
3023 6.9873 9138529 638535.9 606008.5 611067 -0.83
3037 6.985 9223369 644251.7 611419.3 616384 -0.81
3041 6.9827 9247681 645737.4 612818.4 617900 -0.82
3049 6.9804 9296401 648926.5 615832.7 620943 -0.82
3061 6.9781 9369721 653830.9 620473.7 625534 -0.81
3067 6.9759 9406489 656182.6 622693.7 627804 -0.81
3079 6.9736 9480241 661112.6 627358.8 632357 -0.79
3083 6.9713 9504889 662616.5 628774.7 633894 -0.81
3089 6.9691 9541921 664982.7 631008.4 636202 -0.82
3109 6.9668 9665881 673404.9 638984.5 643942 -0.77
3119 6.9646 9728161 677526.6 642882.5 647796 -0.76
3121 6.9624 9740641 678178.4 643490.4 648591 -0.79
3137 6.9601 9840769 684931.3 649883.1 654804 -0.75
3163 6.9579 10004569 696111.8 660473.9 664861 -0.66
3167 6.9557 10029889 697653.2 661924.9 666444 -0.68
3169 6.9535 10042561 698314.2 662541.2 667233 -0.7
3181 6.9514 10118761 703391.6 667344.8 671978 -0.69
3187 6.9492 10156969 705826.1 669642.4 674356 -0.7
3191 6.947 10182481 707377.2 671102.5 675919 -0.71
3203 6.9448 10259209 712485 675934.6 680641 -0.69
3209 6.9427 10297681 714933.9 678245.8 683042 -0.7
3217 6.9405 10349089 718279.7 681407.1 686207 -0.7
3221 6.9384 10374841 719843.4 682879 687811 -0.72
3229 6.9362 10426441 723199.6 686050 691023 -0.72
3251 6.9341 10569001 732862.3 695199.6 699893 -0.67
3253 6.9319 10582009 733538.8 695830.1 700677 -0.69
3257 6.9298 10608049 735118.1 697316.5 702278 -0.71
3259 6.9277 10621081 735795.3 697947.8 703076 -0.73
3271 6.9256 10699441 740997.3 702868.1 707972 -0.72
3299 6.9235 10883401 753509.1 714717.4 719300 -0.64
3301 6.9214 10896601 754194.4 715356.1 720110 -0.66
3307 6.9193 10936249 756709.7 717729.4 722575 -0.67
3313 6.9172 10975969 759228.8 720106.3 725036 -0.68
3319 6.9151 11015761 761751.7 722486.6 727471 -0.69
3323 6.913 11042329 763359.1 723999.2 729101 -0.7
3329 6.9109 11082241 765888.1 726385.3 731607 -0.71
3331 6.9089 11095561 766578.5 727028.6 732426 -0.74
3343 6.9068 11175649 771880.7 732042.9 737363 -0.72
3347 6.9047 11202409 773497.8 733564.5 739028 -0.74
3359 6.9027 11282881 778822.2 738599.7 743941 -0.72
3361 6.9006 11296321 779517.9 739248 744790 -0.74
3371 6.8986 11363641 783930.8 743419 748902 -0.73
3373 6.8965 11377129 784628.6 744069.2 749730 -0.76
3389 6.8945 11485321 791856.4 750907.7 756382 -0.72
3391 6.8925 11498881 792557.5 751560.9 757219 -0.75
3407 6.8905 11607649 799819.5 758431.6 763943 -0.72
3413 6.8884 11648569 802403.9 760869.4 766473 -0.73
3433 6.8864 11785489 811599.1 769571.8 774881 -0.69
3449 6.8844 11895601 818944.3 776520.9 781626 -0.65
3457 6.8824 11950849 822509.8 779888.1 785045 -0.66
3461 6.8805 11978521 824176.1 781455.6 786744 -0.67
3463 6.8785 11992369 824890.7 782121.2 787601 -0.7
3467 6.8765 12020089 826558.9 783690.5 789299 -0.71
3469 6.8745 12033961 827274.3 784356.8 790120 -0.73
3491 6.8725 12187081 837560.5 794091.8 799510 -0.68
3499 6.8706 12243001 841163.2 797493.7 802939 -0.68
3511 6.8686 12327121 846701.5 802729.6 808117 -0.67
3517 6.8667 12369289 849356.2 805233.3 810743 -0.68
3527 6.8647 12439729 853950.9 809575 815037 -0.67
3529 6.8628 12453841 854677.4 810251.5 815910 -0.69
3533 6.8608 12482089 856373.6 811846.8 817634 -0.71
3539 6.8589 12524521 859041.9 814363.1 820230 -0.72
3541 6.8569 12538681 859770.3 815041.4 821055 -0.73
3547 6.855 12581209 862443.2 817561.9 823647 -0.74
3557 6.8531 12652249 867069.1 821932.7 828018 -0.73
3559 6.8512 12666481 867800.6 822613.8 828862 -0.75
3571 6.8492 12752041 873417.8 827923.4 834147 -0.75
3581 6.8473 12823561 878071.1 832319.7 838525 -0.74
3583 6.8454 12837889 878806.8 833004.8 839415 -0.76
3593 6.8435 12909649 883473.1 837413.3 843766 -0.75
3607 6.8416 13010449 890124.5 843702.1 849887 -0.73
3613 6.8397 13053769 892841.1 846263.5 852530 -0.74
3617 6.8378 13082689 894571.8 847890.8 854248 -0.74
3623 6.8359 13126129 897294.4 850457.8 856875 -0.75
3631 6.8341 13184161 901013.2 853968.3 860413 -0.75
3637 6.8322 13227769 903744.9 856543.6 863092 -0.76
3643 6.8303 13271449 906480.3 859122.5 865737 -0.76
3659 6.8284 13388281 914210.3 866432.2 872880 -0.74
3671 6.8266 13476241 919966 871871.6 878184 -0.72
3673 6.8247 13490929 920717.9 872571.5 879073 -0.74
3677 6.8229 13520329 922473.4 874222 880870 -0.75
3691 6.821 13623481 929259.5 880637 887157 -0.73
3697 6.8192 13667809 932031 883249.6 889875 -0.74
3701 6.8173 13697401 933796.5 884909.4 891684 -0.76
3709 6.8155 13756681 937585 888485.1 895311 -0.76
3719 6.8137 13830961 942394 893027.3 899817 -0.75
3727 6.8118 13890529 946198.9 896618.2 903470 -0.76
3733 6.81 13935289 948993.6 899252.5 906214 -0.77
3739 6.8082 13980121 951792 901890.2 908885 -0.77
3761 6.8064 14145121 962769.4 912273.5 918911 -0.72
3767 6.8046 14190289 965587.3 914929.5 921624 -0.73
3769 6.8028 14205361 966356.5 915645.3 922510 -0.74
3779 6.801 14280841 971234.1 920251.7 927137 -0.74
3793 6.7992 14386849 978185.7 926822 933630 -0.73
3797 6.7974 14417209 979991.8 928519.5 935469 -0.74
3803 6.7956 14462809 982832.9 931197.1 938232 -0.75
3821 6.7938 14600041 991898.9 939769.2 946552 -0.72
3823 6.792 14615329 992677.8 940494 947452 -0.73
3833 6.7903 14691889 997617.5 945158.5 952083 -0.73
3847 6.7885 14799409 1004657.1 951811.4 958620 -0.71
3851 6.7867 14830201 1006486 953530.2 960484 -0.72
3853 6.785 14845609 1007270.2 954259.9 961452 -0.75
3863 6.7832 14922769 1012243.4 958955.7 966059 -0.74
3877 6.7815 15031129 1019330.7 965653.2 972599 -0.71
3881 6.7797 15062161 1021172 967383.5 974471 -0.73
3889 6.778 15124321 1025122.6 971110.9 978221 -0.73
3907 6.7762 15264649 1034369.1 979852.4 986711 -0.7
3911 6.7745 15295921 1036223.2 981594.7 988607 -0.71
3917 6.7728 15342889 1039139.7 984342.7 991435 -0.72
3919 6.771 15358561 1039935.7 985083.2 992397 -0.74
3923 6.7693 15389929 1041794 986829.4 994254 -0.75
3929 6.7676 15437041 1044717.2 989583.7 997052 -0.75
3931 6.7659 15452761 1045515 990325.8 997991 -0.77
3943 6.7642 15547249 1051641.2 996112.2 1003754 -0.76
3947 6.7624 15578809 1053509 997867.1 1005679 -0.78
3967 6.7607 15737089 1063944.3 1007732.6 1015242 -0.74
3989 6.759 15912121 1075508.1 1018666.1 1025816 -0.7
4001 6.7574 16008001 1081718.3 1024531.4 1031595 -0.68
4003 6.7557 16024009 1082529.5 1025285.9 1032559 -0.7
4007 6.754 16056049 1084423.3 1027065.2 1034458 -0.71
4013 6.7523 16104169 1087402.3 1029871.6 1037374 -0.72
4019 6.7506 16152361 1090385 1032681.5 1040269 -0.73
4021 6.7489 16168441 1091199 1033438.5 1041218 -0.75
4027 6.7473 16216729 1094186.2 1036252.5 1044151 -0.76
4049 6.7456 16394401 1105901 1047327.5 1054805 -0.71
4051 6.7439 16410601 1106720.5 1048089.6 1055774 -0.73
4057 6.7423 16459249 1109727.7 1050922.3 1058702 -0.73
4073 6.7406 16589329 1118223.4 1058949.9 1066526 -0.71
4079 6.739 16638241 1121245.5 1061796.5 1069486 -0.72
4091 6.7373 16736281 1127576.6 1067775.1 1075400 -0.71
4093 6.7357 16752649 1128403.7 1068544.1 1076379 -0.73
4099 6.734 16801801 1131438.3 1071402.4 1079376 -0.74

柳林 · 发表于 2019-3-9 21:11

素数近似密度区间欧拉计算值柳林计算值实际值誤差率
4111 6.7324 16900321 1137795.8 1077405.6 1085262 -0.72
4127 6.7308 17032129 1146391.8 1085527.2 1093279 -0.71
4129 6.7291 17048641 1147225.3 1086302.1 1094255 -0.73
4133 6.7275 17081689 1149171 1088129.6 1096249 -0.74
4139 6.7259 17131321 1152231.5 1091012.2 1099221 -0.75
4153 6.7243 17247409 1159760.1 1098123.1 1106119 -0.72
4157 6.7226 17280649 1161715.8 1099959.8 1108099 -0.73
4159 6.721 17297281 1162554.3 1100739.3 1109119 -0.76
4177 6.7194 17447329 1172358.3 1110003.2 1118197 -0.73
4201 6.7178 17648401 1185586.9 1122507.5 1130310 -0.69
4211 6.7162 17732521 1190955 1127573.3 1135307 -0.68
4217 6.7146 17783089 1194068 1130504.9 1138306 -0.69
4219 6.713 17799961 1194917.6 1131294.7 1139342 -0.71
4229 6.7114 17884441 1200304.9 1136378.2 1144378 -0.7
4231 6.7099 17901361 1201156.5 1137169.8 1145393 -0.72
4241 6.7083 17986081 1206556.6 1142265.3 1150537 -0.72
4243 6.7067 18003049 1207410.2 1143058.7 1151552 -0.74
4253 6.7051 18088009 1212823 1148166.1 1156534 -0.72
4259 6.7035 18139081 1215961.8 1151121.7 1159607 -0.73
4261 6.702 18156121 1216818.5 1151917.9 1160620 -0.75
4271 6.7004 18241441 1222250.4 1157043.1 1165747 -0.75
4273 6.6988 18258529 1223109 1157841.1 1166760 -0.76
4283 6.6973 18344089 1228553.6 1162978.1 1171921 -0.76
4289 6.6957 18395521 1231710.9 1165950.9 1174943 -0.77
4297 6.6942 18464209 1236022.4 1170015.6 1179075 -0.77
4327 6.6926 18722929 1253051.8 1186112.9 1194474 -0.7
4337 6.6911 18809569 1258560 1191309.7 1199677 -0.7
4339 6.6895 18826921 1259430.8 1192118.8 1200712 -0.72
4349 6.688 18913801 1264951.7 1197327.4 1205865 -0.71
4357 6.6864 18983449 1269318.3 1201443.8 1210040 -0.71
4363 6.6849 19035769 1272524.9 1204462.7 1213178 -0.72
4373 6.6834 19123129 1278072.6 1209696.2 1218369 -0.71
4391 6.6819 19280881 1288322.3 1219378 1227746 -0.68
4397 6.6803 19333609 1291551.7 1222418.2 1230910 -0.69
4409 6.6788 19439281 1298316.4 1228802.8 1237249 -0.68
4421 6.6773 19545241 1305098 1235203.2 1243513 -0.67
4423 6.6758 19562929 1305983.8 1236026.2 1244534 -0.68
4441 6.6743 19722481 1316338.7 1245806.6 1254032 -0.66
4447 6.6728 19775809 1319601.1 1248877.8 1257225 -0.66
4451 6.6713 19811401 1321679.1 1250828.4 1259375 -0.68
4457 6.6698 19864849 1324947.5 1253904.9 1262554 -0.69
4463 6.6683 19918369 1328219.5 1256984.9 1265724 -0.69
4481 6.6668 20079361 1338656.1 1266841.9 1275358 -0.67
4483 6.6653 20097289 1339552.5 1267674.6 1276424 -0.69
4493 6.6639 20187049 1345235.8 1273035.2 1281762 -0.68
4507 6.6624 20313049 1353331.9 1280677.9 1289193 -0.66
4513 6.6609 20367169 1356636.9 1283788.7 1292414 -0.67
4517 6.6594 20403289 1358742 1285764.4 1294554 -0.68
4519 6.658 20421361 1359644.5 1286602.8 1295594 -0.69
4523 6.6565 20457529 1361751.4 1288580.3 1297730 -0.71
4547 6.655 20675209 1375938.6 1301983.3 1310668 -0.66
4549 6.6536 20693401 1376846.5 1302826.6 1311785 -0.68
4561 6.6521 20802721 1383816.7 1309403.5 1318284 -0.67
4567 6.6506 20857489 1387156.1 1312546.4 1321493 -0.68
4583 6.6492 21003889 1396587.9 1321451.1 1330186 -0.66
4591 6.6477 21077281 1401162.6 1325762.1 1334564 -0.66
4597 6.6463 21132409 1404521.8 1328923.5 1337806 -0.66
4603 6.6448 21187609 1407884.6 1332088.2 1341053 -0.67
4621 6.6434 21353641 1418610.1 1342215.9 1350902 -0.64
4637 6.642 21501769 1428142.8 1351215.3 1359728 -0.63
4639 6.6405 21520321 1429066.9 1352073.5 1360783 -0.64
4643 6.6391 21557449 1431224.1 1354097.8 1362968 -0.65
4649 6.6377 21613201 1434616.9 1357290.5 1366311 -0.66
4651 6.6363 21631801 1435542.8 1358150.3 1367402 -0.68
4657 6.6348 21687649 1438939.9 1361347 1370688 -0.68
4663 6.6334 21743569 1442340.7 1364547.2 1374032 -0.69
4673 6.632 21836929 1448223.7 1370094.4 1379563 -0.69
4679 6.6306 21893041 1451634.7 1373304.1 1382898 -0.69
4691 6.6292 22005481 1458779.1 1380043.9 1389585 -0.69
4703 6.6278 22118209 1465940.3 1386799.5 1396215 -0.67
4721 6.6263 22287841 1476870.2 1397118.5 1406144 -0.64
4723 6.6249 22306729 1477808.8 1397990 1407278 -0.66
4729 6.6235 22363441 1481252.6 1401230.3 1410609 -0.66
4733 6.6221 22401289 1483446 1403288.2 1412842 -0.68
4751 6.6208 22572001 1494436.2 1413663.7 1422950 -0.65
4759 6.6194 22648081 1499158.2 1418112.3 1427418 -0.65
4783 6.618 22877089 1514000.5 1432129.6 1440970 -0.61
4787 6.6166 22915369 1516217 1434209 1443243 -0.63
4789 6.6152 22934521 1517167.4 1435091.3 1444373 -0.64
4793 6.6138 22972849 1519385.8 1437172.5 1446626 -0.65
4799 6.6125 23030401 1522874.8 1440454.9 1450061 -0.66
4801 6.6111 23049601 1523826.9 1441338.8 1451190 -0.68
4813 6.6097 23164969 1531135.8 1448232.5 1457980 -0.67
4817 6.6083 23203489 1533363.4 1450322.3 1460236 -0.68
4831 6.607 23338561 1541970.2 1458442.9 1468220 -0.67
4861 6.6056 23629321 1560859.4 1476284.4 1485341 -0.61
4871 6.6042 23726641 1566966.3 1482041.2 1491046 -0.6
4877 6.6029 23785129 1570506.9 1485371.9 1494494 -0.61
4889 6.6015 23902321 1577922.1 1492365.4 1501354 -0.6
4903 6.6002 24039409 1586648.4 1500598.2 1509454 -0.59
4909 6.5989 24098281 1590210 1503948.6 1512895 -0.59
4919 6.5975 24196561 1596370.8 1509755.9 1518707 -0.59
4931 6.5962 24314761 1603843.7 1516803.5 1525710 -0.58
4933 6.5948 24334489 1604819.6 1517709.2 1526859 -0.6
4937 6.5935 24373969 1607097.7 1519845.9 1529184 -0.61
4943 6.5922 24433249 1610680.4 1523215.8 1532689 -0.62
4951 6.5908 24512401 1615571.8 1527822.8 1537316 -0.62
4957 6.5895 24571849 1619163.2 1531200.8 1540805 -0.62
4967 6.5882 24671089 1625375.4 1537055.9 1546627 -0.62
4969 6.5869 24690961 1626357.2 1537967.1 1547843 -0.64
4973 6.5855 24730729 1628649.1 1540116.6 1550200 -0.65
4987 6.5842 24870169 1637503.5 1548469.1 1558341 -0.63
4993 6.5829 24930049 1641117.4 1551868 1561828 -0.64
4999 6.5816 24990001 1644734.9 1555270.3 1565356 -0.64
5003 6.5803 25030009 1647038.8 1557430.8 1567707 -0.66
5009 6.5789 25090081 1650662.1 1560838.5 1571238 -0.66
5011 6.5776 25110121 1651650.8 1561755.9 1572425 -0.68
5021 6.5763 25210441 1657919.2 1567663.5 1578248 -0.67
5023 6.575 25230529 1658910 1568582.8 1579405 -0.69
5039 6.5737 25391521 1669163.9 1578257.1 1588819 -0.66
5051 6.5724 25512601 1676791.3 1585448.8 1595892 -0.65
5059 6.5711 25593481 1681774.6 1590141.3 1600664 -0.66
5077 6.5698 25775929 1693429.8 1601139.5 1611360 -0.63
5081 6.5685 25816561 1695765.4 1603329.6 1613772 -0.65
5087 6.5672 25877569 1699438.6 1606783.7 1617337 -0.65
5099 6.5659 25999801 1707131 1614036.2 1624517 -0.65
5101 6.5647 26020201 1708135.5 1614968.2 1625695 -0.66
5107 6.5634 26081449 1711821 1618433.7 1629273 -0.67
5113 6.5621 26142769 1715510 1621902.7 1632890 -0.67
5119 6.5608 26204161 1719202.7 1625374.9 1636443 -0.68
5147 6.5595 26491609 1737723.9 1642860.4 1653302 -0.63
5153 6.5583 26553409 1741439.7 1646354.2 1656951 -0.64
5167 6.557 26697889 1750576.2 1654970.6 1665404 -0.63
5171 6.5557 26739241 1752948.6 1657194.9 1667806 -0.64
5179 6.5544 26822041 1758037.2 1661985.8 1672617 -0.64
5189 6.5532 26925721 1764492.7 1668068.4 1678700 -0.63
5197 6.5519 27008809 1769597.1 1672874.1 1683586 -0.64
5209 6.5507 27133681 1777437.3 1680265 1690906 -0.63
5227 6.5494 27321529 1789400.2 1691551.3 1701809 -0.6
5231 6.5482 27363361 1791797.4 1693798.6 1704257 -0.61
5233 6.5469 27384289 1792825.1 1694751.9 1705462 -0.63
5237 6.5457 27426169 1795224.1 1697000.8 1707923 -0.64
5261 6.5444 27678121 1811371.6 1712240.6 1722662 -0.6
5273 6.5432 27804529 1819299.2 1719713.3 1730033 -0.6
5279 6.5419 27867841 1823096.4 1723283.1 1733679 -0.6
5281 6.5407 27888961 1824132.6 1724244.1 1734929 -0.62
5297 6.5395 28058209 1834856.1 1734358.2 1744825 -0.6
5303 6.5382 28121809 1838668.4 1737942.2 1748527 -0.61
5309 6.537 28185481 1842484.4 1741529.4 1752240 -0.61
5323 6.5358 28334329 1851866.6 1750375.8 1760990 -0.6
5333 6.5345 28440889 1858482.5 1756608.4 1767140 -0.6
5347 6.5333 28590409 1867903.6 1765491.2 1775889 -0.59
5351 6.5321 28633201 1870349.7 1767784 1778387 -0.6
5381 6.5309 28955161 1891029 1787303 1797079 -0.54
5387 6.5297 29019769 1894896.7 1790938.6 1800818 -0.55
5393 6.5285 29084449 1898767.9 1794577.6 1804579 -0.55
5399 6.5273 29149201 1902642.7 1798219.9 1808325 -0.56
5407 6.526 29235649 1907932.5 1803198.9 1813301 -0.56
5413 6.5248 29300569 1911815.9 1806849.2 1817134 -0.57
5417 6.5236 29343889 1914289.1 1809167 1819656 -0.58
5419 6.5224 29365561 1915349.3 1810150.1 1820960 -0.59
5431 6.5212 29495761 1923487.3 1817819.5 1828461 -0.58
5437 6.52 29560969 1927385.1 1821483.1 1832243 -0.59
5441 6.5188 29604481 1929867.4 1823809.4 1834776 -0.6
5443 6.5176 29626249 1930931.6 1824796.1 1836053 -0.61
5449 6.5164 29691601 1934835.8 1828465.7 1839855 -0.62
5471 6.5153 29931841 1950134.4 1842898.8 1853837 -0.59
5477 6.5141 29997529 1954057.3 1846585.8 1857718 -0.6
5479 6.5129 30019441 1955127.8 1847578.2 1859018 -0.62
5483 6.5117 30063289 1957626.4 1849919.7 1861571 -0.63
5501 6.5105 30261001 1970142.6 1861723.8 1873083 -0.61
5503 6.5093 30283009 1971217.2 1862720 1874374 -0.62
5507 6.5081 30327049 1973725.4 1865070.4 1876941 -0.63
5519 6.507 30459361 1981977.3 1872846 1884567 -0.62
5521 6.5058 30481441 1983054.7 1873844.8 1885848 -0.64
5527 6.5046 30547729 1987007.7 1877559.7 1889725 -0.64
5531 6.5034 30591961 1989525.1 1879918.6 1892294 -0.65
5557 6.5023 30880249 2007912.3 1897267 1909101 -0.62
5563 6.5011 30946969 2011888.8 1901003.9 1912964 -0.63
5569 6.4999 31013761 2015869 1904744.2 1916785 -0.63
5573 6.4988 31058329 2018403.6 1907119.1 1919323 -0.64
5581 6.4976 31147561 2023839.9 1912234.5 1924504 -0.64
5591 6.4964 31259281 2030735.7 1918728.4 1930914 -0.63
5623 6.4953 31618129 2053682.7 1940382.1 1951683 -0.58
5639 6.4941 31798321 2065020.4 1951070.9 1962076 -0.56
5641 6.493 31820881 2066119.2 1952089.3 1963416 -0.58
5647 6.4918 31888609 2070150.1 1955876.9 1967374 -0.58
5651 6.4907 31933801 2072717 1958281.8 1969957 -0.59
5653 6.4895 31956409 2073817.5 1959301.8 1971274 -0.61
5657 6.4884 32001649 2076386.2 1961708.3 1973915 -0.62
5659 6.4872 32024281 2077487.5 1962729 1975194 -0.63
5669 6.4861 32137561 2084468.5 1969302.4 1981758 -0.63
5683 6.4849 32296489 2094408.1 1978669.8 1990949 -0.62
5689 6.4838 32364721 2098463.9 1982480.5 1994913 -0.62
5693 6.4827 32410249 2101046.8 1984900.1 1997536 -0.63
5701 6.4815 32501401 2106586.3 1990111.9 2002827 -0.63
5711 6.4804 32615521 2113612.8 1996727.8 2009463 -0.63
5717 6.4793 32684089 2117685.8 2000554.5 2013395 -0.64
5737 6.4781 32913169 2132156.8 2014200.3 2026605 -0.61
5741 6.477 32959081 2134759.1 2016638 2029305 -0.62
5743 6.4759 32982049 2135874.8 2017671.8 2030637 -0.64
5749 6.4747 33051001 2139967.7 2021517.1 2034587 -0.64
5779 6.4736 33396841 2161985.8 2042288.8 2054628 -0.6
5783 6.4725 33443089 2164605.3 2044742.5 2057296 -0.61
5791 6.4714 33535681 2170223.5 2050027.8 2062592 -0.61
5801 6.4703 33651601 2177349.8 2056736.9 2069280 -0.61
5807 6.4692 33721249 2181480.5 2060617.4 2073298 -0.61
5813 6.468 33790969 2185614.7 2064501.2 2077355 -0.62
5821 6.4669 33884041 2191258.1 2069809.9 2082764 -0.62
5827 6.4658 33953929 2195400.9 2073701.6 2086730 -0.62
5839 6.4647 34093921 2204075 2081871.8 2094748 -0.61
5843 6.4636 34140649 2206718.1 2084347.4 2097430 -0.62
5849 6.4625 34210801 2210874.4 2088251.6 2101424 -0.63
5851 6.4614 34234201 2212008.5 2089302.4 2102753 -0.64
5857 6.4603 34304449 2216169.1 2093210.5 2106797 -0.64
5861 6.4592 34351321 2218818.5 2095691.9 2109439 -0.65
5867 6.4581 34421689 2222984.7 2099605.4 2113474 -0.66
5869 6.457 34445161 2224121.6 2100658.5 2114809 -0.67
5879 6.4559 34562641 2231327.6 2107441.9 2121632 -0.67
5881 6.4548 34586161 2232466.4 2108496.8 2122991 -0.68
5897 6.4537 34774609 2244249.7 2119601.4 2133745 -0.66
5903 6.4526 34845409 2248437.9 2123535.3 2137803 -0.67
5923 6.4515 35081929 2263317.5 2137562.8 2151434 -0.64
5927 6.4504 35129329 2265993.1 2140068.4 2154173 -0.65
5939 6.4493 35271721 2274794.9 2148357.7 2162401 -0.65
5953 6.4483 35438209 2285148.4 2158111.7 2171984 -0.64
5981 6.4472 35772361 2306309.7 2178068.8 2191194 -0.6
5987 6.4461 35844169 2310553.3 2182054.4 2195336 -0.6

柳林 · 发表于 2019-3-9 21:13

素数近似密度区间欧拉计算值柳林计算值实际值誤差率
6007 6.445 36084049 2325629 2196265.9 2209089 -0.58
6011 6.444 36132121 2328339.8 2198804.4 2211879 -0.59
6029 6.4429 36348841 2341916.7 2211600.6 2224374 -0.57
6037 6.4418 36445369 2347746.9 2217083.6 2229863 -0.57
6043 6.4408 36517849 2352026.7 2221103 2234067 -0.58
6047 6.4397 36566209 2354752 2223654.8 2236809 -0.59
6053 6.4386 36638809 2359037.4 2227679.4 2240978 -0.59
6067 6.4376 36808489 2369571.8 2237602.8 2250704 -0.58
6073 6.4365 36881329 2373870 2241639.3 2254863 -0.59
6079 6.4354 36954241 2378171.7 2245679 2258977 -0.59
6089 6.4344 37075921 2385610.5 2252680 2265992 -0.59
6091 6.4333 37100281 2386786 2253768.6 2267409 -0.6
6101 6.4323 37222201 2394237 2260780.9 2274458 -0.6
6113 6.4312 37368769 2403271.5 2269287.7 2282824 -0.59
6121 6.4302 37466641 2409172.2 2274836.4 2288410 -0.59
6131 6.4291 37589161 2416656.2 2281879.6 2295455 -0.59
6133 6.4281 37613689 2417838.9 2282974.7 2296879 -0.61
6143 6.427 37736449 2425335.1 2290029.2 2304166 -0.61
6151 6.426 37834801 2431260.9 2295601.3 2309538 -0.6
6163 6.4249 37982569 2440360.4 2304168.8 2317974 -0.6
6173 6.4239 38105929 2447889.6 2311254.1 2325083 -0.59
6197 6.4229 38402809 2466562.8 2328857.6 2342160 -0.57
6199 6.4218 38427601 2467757 2329963.3 2343590 -0.58
6203 6.4208 38477209 2470544.4 2332572.8 2346430 -0.59
6211 6.4198 38576521 2476522.3 2338193.4 2352081 -0.59
6217 6.4187 38651089 2480910.2 2342313.5 2356339 -0.6
6221 6.4177 38700841 2483704.4 2344929.2 2359188 -0.6
6229 6.4167 38800441 2489696.6 2350563.2 2364973 -0.61
6247 6.4156 39025009 2503705.6 2363763.2 2377830 -0.59
6257 6.4146 39150049 2511326.3 2370933.9 2384993 -0.59
6263 6.4136 39225169 2515743.2 2375080.9 2389283 -0.59
6269 6.4126 39300361 2520163.6 2379231.1 2393649 -0.6
6271 6.4115 39325441 2521369.8 2380347.8 2395117 -0.62
6277 6.4105 39400729 2525794.4 2384501.9 2399398 -0.62
6287 6.4095 39526369 2533445.6 2391700.9 2406643 -0.62
6299 6.4085 39677401 2542722.3 2400433.9 2415322 -0.62
6301 6.4075 39702601 2543933.4 2401555.1 2416772 -0.63
6311 6.4065 39828721 2551610.1 2408778 2423932 -0.63
6317 6.4054 39904489 2556059.5 2412955 2428239 -0.63
6323 6.4044 39980329 2560512.4 2417135.4 2432536 -0.63
6329 6.4034 40056241 2564968.8 2421319 2436839 -0.64
6337 6.4024 40157569 2571051.4 2427037.2 2442661 -0.64
6343 6.4014 40233649 2575516.3 2431228.6 2446967 -0.64
6353 6.4004 40360609 2583236.8 2438492.2 2454313 -0.64
6359 6.3994 40436881 2587711.5 2442692.9 2458650 -0.65
6361 6.3984 40462321 2588932.5 2443823 2460085 -0.66
6367 6.3974 40538689 2593411.4 2448027.5 2464472 -0.67
6373 6.3964 40615129 2597893.8 2452235.3 2468759 -0.67
6379 6.3954 40691641 2602379.8 2456446.3 2473104 -0.67
6389 6.3944 40819321 2610136.8 2463743.8 2480497 -0.68
6397 6.3934 40921609 2616268.4 2469507.5 2486282 -0.67
6421 6.3924 41229241 2635526 2487656.4 2503867 -0.65
6427 6.3914 41306329 2640042.9 2491896.3 2508202 -0.65
6449 6.3904 41589601 2657735.7 2508568.4 2524305 -0.62
6451 6.3894 41615401 2658972.1 2509712.8 2525737 -0.63
6469 6.3884 41847961 2673418 2523320.9 2539067 -0.62
6473 6.3874 41899729 2676311.6 2526028.8 2542010 -0.63
6481 6.3864 42003361 2682517.1 2531861.5 2547806 -0.63
6491 6.3855 42133081 2690387 2539264.6 2555174 -0.62
6521 6.3845 42523441 2714896.8 2562367.5 2577532 -0.59
6529 6.3835 42627841 2721145.4 2568240.5 2583431 -0.59
6547 6.3825 42863209 2735752.2 2581999.3 2596843 -0.57
6551 6.3815 42915601 2738678 2584737.2 2599747 -0.58
6553 6.3806 42941809 2739932.3 2585898 2601257 -0.59
6563 6.3796 43072969 2747882.3 2593375.9 2608645 -0.59
6569 6.3786 43151761 2752489.8 2597700.2 2613152 -0.59
6571 6.3777 43178041 2753747 2598863.6 2614665 -0.6
6577 6.3767 43256929 2758358.7 2603191.8 2619138 -0.61
6581 6.3757 43309561 2761295.2 2605939.5 2622127 -0.62
6599 6.3748 43546801 2776000.3 2619789.9 2635676 -0.6
6607 6.3738 43652449 2782313.9 2625723.5 2641653 -0.6
6619 6.3728 43811161 2792008 2634846.1 2650601 -0.59
6637 6.3719 44049769 2806791.1 2648769.6 2664215 -0.58
6653 6.3709 44262409 2819916.3 2661128.9 2676219 -0.56
6659 6.3699 44342281 2824580.6 2665506.1 2680799 -0.57
6661 6.369 44368921 2825853.3 2666683.7 2682302 -0.58
6673 6.368 44528929 2835619.2 2675873.5 2691382 -0.58
6679 6.3671 44609041 2840295.4 2680261.8 2695976 -0.58
6689 6.3661 44742721 2848381 2687866.3 2703582 -0.58
6691 6.3652 44769481 2849658.6 2689048.4 2705145 -0.6
6701 6.3642 44903401 2857756.4 2696664.1 2712686 -0.59
6703 6.3633 44930209 2859035.9 2697847.9 2714204 -0.6
6709 6.3623 45010681 2863729.6 2702252.4 2718775 -0.61
6719 6.3614 45144961 2871845.5 2709885 2726431 -0.61
6733 6.3604 45333289 2883397.4 2720758.7 2737189 -0.6
6737 6.3595 45387169 2886396 2723563.8 2740254 -0.61
6761 6.3586 45711121 2906567.7 2742568.2 2758683 -0.58
6763 6.3576 45738169 2907857.5 2743761.5 2760198 -0.6
6779 6.3567 45954841 2921201.7 2756325.2 2772530 -0.58
6781 6.3557 45981961 2922494.6 2757521.2 2774010 -0.59
6791 6.3548 46117681 2930689 2765227.1 2781705 -0.59
6793 6.3539 46144849 2931983.8 2766424.9 2783224 -0.6
6803 6.3529 46280809 2940190.3 2774142 2790917 -0.6
6823 6.352 46553329 2957069.8 2790039.7 2806343 -0.58
6827 6.3511 46607929 2960104.4 2792878.3 2809459 -0.59
6829 6.3501 46635241 2961405.3 2794081.7 2811017 -0.6
6833 6.3492 46689889 2964441.6 2796921.9 2814114 -0.61
6841 6.3483 46799281 2970952.8 2803039.5 2820323 -0.61
6857 6.3474 47018449 2984430.9 2815728.2 2832731 -0.6
6863 6.3464 47100769 2989220.4 2820221.8 2837308 -0.6
6869 6.3455 47183161 2994013.4 2824718.6 2842022 -0.61
6871 6.3446 47210641 2995321.2 2825928.3 2843615 -0.62
6883 6.3437 47375689 3005356.1 2835368.9 2852927 -0.62
6899 6.3427 47596201 3018907 2848125.5 2865387 -0.6
6907 6.3418 47706649 3025474.3 2854295.4 2871594 -0.6
6911 6.3409 47761921 3028541.3 2857164.1 2874684 -0.61
6917 6.34 47844889 3033363.6 2861688.1 2879395 -0.61
6947 6.3391 48260809 3059292.5 2886117.9 2902799 -0.57
6949 6.3382 48288601 3060613.8 2887339.9 2904391 -0.59
6959 6.3373 48427681 3068987.8 2895213.3 2912252 -0.59
6961 6.3363 48455521 3070311 2896437.1 2913803 -0.6
6967 6.3354 48539089 3075164.7 2900990.4 2918568 -0.6
6971 6.3345 48594841 3078255.2 2903880.8 2921712 -0.61
6977 6.3336 48678529 3083114.5 2908439.2 2926395 -0.61
6983 6.3327 48762289 3087977.2 2913000.9 2931074 -0.62
6991 6.3318 48874081 3094614 2919235.4 2937435 -0.62
6997 6.3309 48958009 3099485.1 2923804.9 2942171 -0.62
7001 6.33 49014001 3102586.7 2926705.5 2945318 -0.63
7013 6.3291 49182169 3112787.8 2936301.1 2954799 -0.63
7019 6.3282 49266361 3117672.1 2940882.8 2959613 -0.63
7027 6.3273 49378729 3124338.3 2947144.7 2965943 -0.63
7039 6.3264 49547521 3134572.9 2956771.5 2975545 -0.63
7043 6.3255 49603849 3137690.9 2959687.3 2978767 -0.64
7057 6.3246 49801249 3149731 2971016.4 2989892 -0.63
7069 6.3237 49970761 3160004.9 2980679.9 2999480 -0.63
7079 6.3228 50112241 3168504 2988669.8 3007425 -0.62
7103 6.3219 50452609 3189575.7 3008514.9 3026604 -0.6
7109 6.321 50537881 3194517.2 3013149.7 3031444 -0.6
7121 6.3201 50708641 3204860.8 3022878.5 3041074 -0.6
7127 6.3193 50794129 3209813.4 3027523.7 3045927 -0.6
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