数论问题巅峰对决

蔡家雄

ysr 兄，前一段时间，我的想法是，

30，60，90，120，150，180，240，270，300，

这九个数都有相同的素因子2，3，5，我想

这九个素数对，在同样大的范围内的个数几乎一样多！

蔡家雄

但，330的素因子是2，3，5，多了一个11，

蔡家雄

蔡家雄

蔡家雄

但，330的素因子是2，3，5，多了一个11，

估计，孪中数 p+165 两两相加，可能要从大于1000的偶数开始，无缺项，

—— 165的素因子是3，5，多了一个11，

ysr

这个容易验证，等会儿验证一下。谢谢探讨和沟通！

蔡家雄

谢谢！即使 <=970, 我也不取值 k=11,

因为 k=1,2,3,4,5,6,7,8,9,10, 取10个值，已足够了。

蔡家雄

谢谢！即使 <=970, 我也不取值 k=11,

因为 k=1,2,3,4,5,6,7,8,9,10, 取10个值，已足够了。

ysr

1与5000之间有334对p,p+330素数对（仅显示孪中p+165）:
/172
/182
/184
/188
/194
/202
/208
/218
/224
/232
/236
/244
/254
/266
/268
/274
/278
/292
/296
/302
/314
/322
/338
/344
/356
/358
/376
/392
/398
/404
/406
/422
/428
/434
/436
/442
/448
/476
/478
/482
/496
/512
/518
/544
/554
/562
/574
/586
/596
/604
/608
/622
/632
/644
/656
/664
/674
/688
/712
/722
/742
/764
/772
/782
/806
/812
/818
/826
/848
/856
/866
/874
/884
/898
/904
/922
/926
/938
/952
/986
/988
/1022
/1028
/1048
/1052
/1072
/1084
/1094
/1112
/1118
/1132
/1136
/1142
/1156
/1162
/1196
/1216
/1234
/1258
/1262
/1268
/1274
/1282
/1288
/1294
/1316
/1318
/1328
/1346
/1358
/1366
/1378
/1388
/1394
/1402
/1414
/1442
/1444
/1448
/1454
/1456
/1462
/1472
/1492
/1532
/1588
/1594
/1612
/1618
/1624
/1636
/1646
/1658
/1696
/1708
/1714
/1724
/1736
/1748
/1766
/1784
/1786
/1822
/1828
/1832
/1834
/1862
/1864
/1874
/1888
/1898
/1918
/1924
/1948
/1966
/1976
/1988
/1996
/2038
/2042
/2072
/2078
/2116
/2144
/2168
/2176
/2182
/2192
/2218
/2228
/2234
/2246
/2252
/2276
/2294
/2302
/2308
/2378
/2386
/2452
/2498
/2506
/2512
/2522
/2542
/2546
/2548
/2554
/2564
/2576
/2588
/2602
/2612
/2624
/2632
/2638
/2668
/2686
/2696
/2714
/2722
/2744
/2774
/2798
/2836
/2854
/2858
/2872
/2876
/2884
/2896
/2914
/2918
/2954
/2956
/2998
/3002
/3016
/3022
/3026
/3044
/3052
/3092
/3134
/3136
/3164
/3166
/3206
/3226
/3248
/3284
/3302
/3334
/3346
/3352
/3368
/3374
/3382
/3394
/3416
/3418
/3466
/3472
/3478
/3494
/3508
/3512
/3526
/3536
/3554
/3614
/3628
/3632
/3656
/3682
/3698
/3712
/3724
/3746
/3758
/3778
/3782
/3802
/3824
/3836
/3838
/3842
/3856
/3862
/3884
/3892
/3926
/3934
/3962
/3968
/3988
/4012
/4046
/4054
/4076
/4088
/4094
/4096
/4108
/4132
/4172
/4184
/4192
/4244
/4256
/4258
/4276
/4292
/4298
/4318
/4342
/4382
/4384
/4396
/4418
/4426
/4438
/4492
/4514
/4538
/4556
/4586
/4622
/4628
/4648
/4712
/4768
/4786
/4802
/4804
/4808
/4822
/4828
/4838
/4844
/4856
/4886
/4894
/4916
/4948
/4954
/4982
/5068
/5096
/5108
/5116
/5132
/5138
/5158

ysr

344/354/356/360/364/366/368/370/372/374/376/378/380/382/384/386/388/390/392/396/
400/402/404/406/408/410/412/414/416/418/420/424/426/428/430/432/434/436/438/440/
442/444/446/448/450/452/454/456/458/460/462/464/466/468/470/472/474/476/478/480/
482/484/486/488/490/492/494/496/498/500/502/504/506/508/510/512/514/516/518/520/
522/524/526/528/530/532/534/536/538/540/542/544/546/548/550/552/554/556/558/560/
562/564/566/568/570/574/576/578/580/582/584/586/588/590/592/594/596/598/600/602/
604/606/608/610/612/614/616/618/620/622/624/626/628/630/632/634/636/638/640/642/
644/646/648/650/652/654/656/658/660/662/664/666/668/670/672/674/676/678/680/682/
684/686/688/690/692/694/696/698/700/702/704/706/708/710/712/714/716/718/720/722/
724/726/728/730/732/734/736/738/740/742/744/746/748/750/752/754/756/758/760/762/
764/766/768/770/772/774/776/778/780/782/784/786/788/790/792/794/796/798/800/802/
804/806/808/810/812/814/816/818/820/822/824/826/828/830/832/834/836/838/840/842/
844/846/848/850/852/854/856/858/860/862/864/866/868/870/872/874/876/878/880/882/
884/886/888/890/892/894/896/898/900/902/904/906/908/910/912/914/916/918/920/922/
924/926/928/930/932/934/936/938/940/942/944/946/948/950/952/954/956/958/960/962/
964/966/968/970/972/974/976/978/980/982/984/986/988/990/992/994/996/998/1000/1002/
1004/1006/1008/1010/1012/1014/1016/1018/1020/1022/1024/1026/1028/1030/1032/1034/1036/1038/1040/1042/
1044/1046/1048/1050/1052/1054/1056/1058/1060/1062/1064/1066/1068/1070/1072/1074/1076/1078/1080/1082/
1084/1086/1088/1090/1092/1094/1096/1098/1100/1102/1104/1106/1108/1110/1112/1114/1116/1118/1120/1122/
1124/1126/1128/1130/1132/1134/1136/1138/1140/1142/1144/1146/1148/1150/1152/1154/1156/1158/1160/1162/
1164/1166/1168/1170/1172/1174/1176/1178/1180/1182/1184/1186/1188/1190/1192/1194/1196/1198/1200/1202/
1204/1206/1208/1210/1212/1214/1216/1218/1220/1222/1224/1226/1228/1230/1232/1234/1236/1238/1240/1242/
1244/1246/1248/1250/1252/1254/1256/1258/1260/1262/1264/1266/1268/1270/1272/1274/1276/1278/1280/1282/
1284/1286/1288/1290/1292/1294/1296/1298/1300/1302/1304/1306/1308/1310/1312/1314/1316/1318/1320/1322/
1324/1326/1328/1330/1332/1334/1336/1338/1340/1342/1344/1346/1348/1350/1352/1354/1356/1358/1360/1362/
1364/1366/1368/1370/1372/1374/1376/1378/1380/1382/1384/1386/1388/1390/1392/1394/1396/1398/1400/1402/
1404/1406/1408/1410/1412/1414/1416/1418/1420/1422/1424/1426/1428/1430/1432/1434/1436/1438/1440/1442/
1444/1446/1448/1450/1452/1454/1456/1458/1460/1462/1464/1466/1468/1470/1472/1474/1476/1478/1480/1482/
1484/1486/1488/1490/1492/1494/1496/1498/1500/1502/1504/1506/1508/1510/1512/1514/1516/1518/1520/1522/
1524/1526/1528/1530/1532/1534/1536/1538/1540/1542/1544/1546/1548/1550/1552/1554/1556/1558/1560/1562/
1564/1566/1568/1570/1572/1574/1576/1578/1580/1582/1584/1586/1588/1590/1592/1594/1596/1598/1600/1602/
1604/1606/1608/1610/1612/1614/1616/1618/1620/1622/1624/1626/1628/1630/1632/1634/1636/1638/1640/1642/
1644/1646/1648/1650/1652/1654/1656/1658/1660/1662/1664/1666/1668/1670/1672/1674/1676/1678/1680/1682/
1684/1686/1688/1690/1692/1694/1696/1698/1700/1702/1704/1706/1708/1710/1712/1714/1716/1718/1720/1722/
1724/1726/1728/1730/1732/1734/1736/1738/1740/1742/1744/1746/1748/1750/1752/1754/1756/1758/1760/1762/
1764/1766/1768/1770/1772/1774/1776/1778/1780/1782/1784/1786/1788/1790/1792/1794/1796/1798/1800/1802/
1804/1806/1808/1810/1812/1814/1816/1818/1820/1822/1824/1826/1828/1830/1832/1834/1836/1838/1840/1842/
1844/1846/1848/1850/1852/1854/1856/1858/1860/1862/1864/1866/1868/1870/1872/1874/1876/1878/1880/1882/
1884/1886/1888/1890/1892/1894/1896/1898/1900/1902/1904/1906/1908/1910/1912/1914/1916/1918/1920/1922/
1924/1926/1928/1930/1932/1934/1936/1938/1940/1942/1944/1946/1948/1950/1952/1954/1956/1958/1960/1962/
1964/1966/1968/1970/1972/1974/1976/1978/1980/1982/1984/1986/1988/1990/1992/1994/1996/1998/2000/2002/
2004/2006/2008/2010/2012/2014/2016/2018/2020/2022/2024/2026/2028/2030/2032/2034/2036/2038/2040/2042/
2044/2046/2048/2050/2052/2054/2056/2058/2060/2062/2064/2066/2068/2070/2072/2074/2076/2078/2080/2082/
2084/2086/2088/2090/2092/2094/2096/2098/2100/2102/2104/2106/2108/2110/2112/2114/2116/2118/2120/2122/