composite bases < 8340 grouped by equal k/(b-1):

   k/(b-1)           bases

   2 = 2             {4=2^2}
   3 = 3             {9=3^2}
   4 = 2^2           {6,8=2^3}
   5 = 5             {25=5^2}
   7 = 7             {49=7^2}
   8 = 2^3           {10,14,16=2^4}
   9 = 3^2           {12,15,21,27=3^3}
  11 = 11            {121=11^2}
  13 = 13            {169=13^2}
  16 = 2^4           {18,20,22,26,28,32=2^5}
  17 = 17            {289=17^2}
  18 = 2*3^2         {24}
  19 = 19            {361=19^2}
  23 = 23            {529=23^2}
  25 = 5^2           {35,55,65,85,95,115,125=5^3}
  27 = 3^3           {30,33,39,45,51,57,69,81=3^4}
  29 = 29            {841=29^2}
  31 = 31            {961=31^2}
  32 = 2^5           {34,36,38,40,44,46,52,58,62,64=2^6}
  36 = 2^2*3^2       {42,48}
  37 = 37            {1369=37^2}
  40 = 2^3*5         {50}
  41 = 41            {1681=41^2}
  43 = 43            {1849=43^2}
  45 = 3^2*5         {75}
  47 = 47            {2209=47^2}
  48 = 2^4*3         {54}
  49 = 7^2           {56,63,77,91,119,133,161,203,217,259,287,301,329,343=7^3}
  53 = 53            {2809=53^2}
  54 = 2*3^3         {60}
  59 = 59            {3481=59^2}
  61 = 61            {3721=61^2}
  64 = 2^6           {66,68,70,72,74,76,80,82,86,88,92,94,98,104,106,116,118,122,124,128=2^7}
  67 = 67            {4489=67^2}
  71 = 71            {5041=71^2}
  72 = 2^3*3^2       {78}
  73 = 73            {5329=73^2}
  79 = 79            {6241=79^2}
  80 = 2^4*5         {100}
  81 = 3^4           {84,87,90,93,96,99,105,111,117,123,129,141,147,153,159,171,177,183,201,207,213,219,237,243=3^5}
  83 = 83            {6889=83^2}
  89 = 89            {7921=89^2}
  96 = 2^5*3         {102,108}
  98 = 2*7^2         {112}
 100 = 2^2*5^2       {110}
 108 = 2^2*3^3       {114,120}
 112 = 2^4*7         {126}
 121 = 11^2          {143,187,209,253,319,341,407,451,473,517,583,649,671,737,781,803,869,913,979,1067,1111,1133,1177,1199,1243,1331=11^3}
 125 = 5^3           {135,145,155,175,185,205,215,235,265,275,295,305,335,355,365,395,415,445,485,505,515,535,545,565,625=5^4}
 128 = 2^7           {130,132,134,136,138,140,142,144,146,148,152,154,158,160,164,166,172,176,178,184,188,194,196,202,206,212,214,218,226,232,236,244,248,254,256=2^8}
 135 = 3^3*5         {165,225}
 144 = 2^4*3^2       {150,156,162}
 147 = 3*7^2         {189}
 160 = 2^5*5         {170,190,200}
 162 = 2*3^4         {168,174,180,186,192}
 169 = 13^2          {182,195,208,221,247,299,325,377,403,481,533,559,611,689,767,793,871,923,949,1027,1079,1157,1261,1313,1339,1391,1417,1469,1651,1703,1781,1807,1937,1963,2041,2119,2171,2197=13^3}
 175 = 5^2*7         {245}
 176 = 2^4*11        {242}
 189 = 3^3*7         {231}
 192 = 2^6*3         {198,204,216}
 196 = 2^2*7^2       {224}
 200 = 2^3*5^2       {210,220,230,250}
 216 = 2^3*3^3       {222,228,234}
 224 = 2^5*7         {238}
 225 = 3^2*5^2       {240}
 243 = 3^5           {246,249,252,255,261,267,273,279,285,291,297,303,309,321,327,333,339,345,351,369,375,381,387,393,411,417,423,447,453,471,477,489,501,519,531,537,543,549,573,579,591,597,603,633,639,657,669,681,687,699,711,717,723,729=3^6}
 245 = 5*7^2         {315}
 256 = 2^8           {258,260,262,264,266,268,270,272,274,276,278,280,282,284,286,288,290,292,296,298,302,304,308,310,314,316,320,322,326,328,332,334,338,344,346,352,356,358,362,368,376,382,386,388,394,398,404,412,422,424,428,436,446,452,454,458,464,466,472,478,482,488,496,502,508,512=2^9}
 275 = 5^2*11        {605}
 288 = 2^5*3^2       {294,300,312,318,324}
 289 = 17^2          {306,323,391,425,459,493,527,629,697,731,799,901,1003,1037,1139,1207,1241,1343,1411,1513,1649,1717,1751,1819,1853,1921,2159,2227,2329,2363,2533,2567,2669,2771,2839,2941,3043,3077,3247,3281,3349,3383,3587,3791,3859,3893,3961,4063,4097,4267,4369,4471,4573,4607,4709,4777,4811,4913=17^3}
 297 = 3^3*11        {363}
 320 = 2^6*5         {340,370,400}
 324 = 2^2*3^4       {330,336,342,348,354,360,366,372,384}
 338 = 2*13^2        {416}
 343 = 7^3           {350,357,364,371,378,385,392,413,427,441,455,469,497,511,539,553,581,623,637,679,707,721,749,763,791,833,889,917,959,973,1043,1057,1099,1141,1169,1211,1253,1267,1337,1351,1379,1393,1477,1561,1589,1603,1631,1673,1687,1757,1799,1841,1883,1897,1939,1967,1981,2051,2149,2177,2191,2219,2317,2359,2401=7^4}
 351 = 3^3*13        {507}
 352 = 2^5*11        {374,484}
 361 = 19^2          {380,399,418,437,475,513,551,589,703,779,817,893,931,1007,1121,1159,1273,1349,1387,1501,1577,1691,1843,1919,1957,2033,2071,2147,2413,2489,2603,2641,2831,2869,2983,3097,3173,3287,3401,3439,3629,3667,3743,3781,4009,4237,4313,4351,4427,4541,4579,4769,4883,4997,5111,5149,5263,5339,5377,5567,5833,5909,5947,6023,6289,6403,6593,6631,6707,6821,6859=19^3}
 363 = 3*11^2        {429}
 375 = 3*5^3         {405}
 384 = 2^7*3         {390,396,402,408,414,426,432}
 392 = 2^3*7^2       {406,434,448}
 400 = 2^4*5^2       {410,430,440,460,470,500}
 405 = 3^4*5         {420,435,465,495,555,615}
 416 = 2^5*13        {442,494}
 425 = 5^2*17        {595}
 432 = 2^4*3^3       {438,444,450,456,468,474,486}
 441 = 3^2*7^2       {483,525,567}
 448 = 2^6*7         {462,476,490}
 450 = 2*3^2*5^2     {480}
 459 = 3^3*17        {561}
 484 = 2^2*11^2      {506}
 486 = 2*3^5         {492,498,504}
 500 = 2^2*5^3       {510}
 507 = 3*13^2        {585,663}
 512 = 2^9           {514,516,518,520,522,524,526,528,530,532,534,536,538,540,542,544,546,548,550,554,556,558,560,562,564,566,568,572,574,576,580,584,586,590,592,596,602,604,608,610,614,620,622,626,628,632,634,638,652,656,658,662,664,668,674,676,682,686,688,692,694,698,704,706,712,716,718,724,734,746,752,758,764,766,772,776,778,788,794,796,802,808,818,824,838,842,844,848,856,862,866,872,878,886,892,898,904,908,914,916,922,926,932,934,944,956,958,964,974,976,982,998,1004,1006,1016,1018,1024=2^10}
 513 = 3^3*19        {627}
 529 = 23^2          {552,575,598,621,644,667,713,736,851,943,989,1081,1127,1219,1357,1403,1541,1633,1679,1817,1909,2047,2231,2323,2369,2461,2507,2599,2921,3013,3151,3197,3427,3473,3611,3749,3841,3979,4117,4163,4393,4439,4531,4577,4853,5129,5221,5267,5359,5497,5543,5773,5911,6049,6187,6233,6371,6463,6509,6739,7061,7153,7199,7291,7613,7751,7981,8027,8119,8257,..}
 539 = 7^2*11        {616,847}
 540 = 2^2*3^3*5     {570}
 544 = 2^5*17        {578}
 567 = 3^4*7         {609,651,693}
 576 = 2^6*3^2       {582,588,594,600,606,618,624,636,642,648}
 578 = 2*17^2        {612}
 608 = 2^5*19        {646,722}
 625 = 5^4           {630,635,640,645,655,665,675,685,695,715,725,745,755,775,785,805,815,835,845,865,875,895,905,925,935,955,965,985,995,1025,1045,1055,1075,1115,1135,1145,1165,1175,1195,1205,1255,1265,1285,1315,1325,1345,1355,1385,1405,1415,1445,1465,1475,1525,1535,1555,1565,1585,1655,1675,1685,1735,1745,1765,1775,1795,1805,1825,1835,1865,1895,1915,1945,1975,1985,2005,2045,2075,2095,2105,2155,2165,2195,2215,2225,2245,2285,2305,2315,2335,2395,2425,2435,2455,2495,2515,2525,2545,2575,2605,2615,2645,2675,2705,2725,2735,2785,2815,2825,2845,2855,2885,2935,2965,2995,3005,3035,3065,3085,3095,3125=5^5}
 637 = 7^2*13        {1183}
 640 = 2^7*5         {650,670,680,710,730,740,790,800}
 648 = 2^3*3^4       {654,660,666,672,678,684,696,708}
 675 = 3^3*5^2       {690,705,720}
 676 = 2^2*13^2      {702,754,806,832}
 686 = 2*7^3         {700,714,728,742,784}
 704 = 2^6*11        {726,748,770,814,902,946,968}
 722 = 2*19^2        {760,836}
 729 = 3^6           {732,735,738,741,744,747,750,753,756,759,762,765,768,771,777,783,789,795,801,807,813,819,825,831,837,843,849,855,861,867,873,879,885,891,897,903,909,915,921,927,933,939,951,963,981,987,993,999,1005,1011,1017,1029,1035,1041,1047,1053,1059,1065,1077,1083,1095,1101,1107,1119,1125,1137,1143,1149,1161,1167,1179,1191,1203,1227,1233,1251,1257,1263,1269,1293,1299,1317,1329,1341,1347,1359,1371,1383,1389,1401,1413,1431,1437,1461,1467,1473,1497,1503,1509,1527,1557,1563,1569,1587,1593,1611,1623,1629,1641,1647,1671,1689,1707,1713,1719,1731,1737,1761,1773,1779,1791,1797,1803,1809,1821,1839,1851,1857,1893,1899,1917,1923,1929,1941,1959,1971,1977,1983,2007,2019,2031,2043,2049,2061,2073,2097,2103,2127,2133,2151,2157,2169,2181,2187=3^7}
 736 = 2^5*23        {782,874}
 768 = 2^8*3         {774,780,786,792,804,816,822,828,834,846,852,864}
 784 = 2^4*7^2       {798,812,826,854,868,896}
 800 = 2^5*5^2       {810,820,830,850,860,880,890,920,940,950,970,1000}
 810 = 2*3^4*5       {840}
 832 = 2^6*13        {858,884,962,988}
 833 = 7^2*17        {2023}
 841 = 29^2          {899,928,1073,1189,1247,1363,1421,1537,1711,1769,1943,2059,2117,2291,2407,2581,2813,2929,2987,3103,3161,3277,3683,3799,3973,4031,4321,4379,4553,4727,4843,5017,5191,5249,5539,5597,5713,5771,6119,6467,6583,6641,6757,6931,6989,7279,7453,7627,7801,7859,8033,8149,8207,..}
 845 = 5*13^2        {975,1105,1235,1495,1625}
 847 = 7*11^2        {1001,1309}
 864 = 2^5*3^3       {870,876,882,888,894,900,906,912,936,942,948,954,972}
 867 = 3*17^2        {918,969,1173,1377}
 875 = 5^3*7         {945,1015,1225}
 891 = 3^4*11        {957,1089}
 896 = 2^7*7         {910,924,938,952,966,980,994,1022}
 900 = 2^2*3^2*5^2   {930,960}
 928 = 2^5*29        {986}
 961 = 31^2          {992,1023,1085,1147,1271,1333,1457,1519,1643,1829,1891,2077,2201,2263,2449,2573,2759,3007,3131,3193,3317,3379,3503,3937,4061,4247,4309,4619,4681,4867,5053,5177,5363,5549,5611,5921,5983,6107,6169,6541,6913,7037,7099,7223,7409,7471,7781,7967,8153,8339,..}
 968 = 2^3*11^2      {1012}
 972 = 2^2*3^5       {978,984,990,996,1002,1008,1014}
1000 = 2^3*5^3       {1010,1020}
1024 = 2^10          {1026,1028,1030,1032,1034,1036,1038,1040,1042,1044,1046,1048,1052,1054,1056,1058,1060,1062,1064,1066,1068,1070,1072,1074,1076,1078,1080,1082,1084,1086,1088,1090,1094,1096,1098,1100,1102,1106,1108,1112,1114,1116,1118,1120,1124,1126,1128,1130,1132,1136,1138,1142,1144,1146,1148,1152,1154,1160,1162,1166,1168,1172,1174,1178,1180,1184,1186,1192,1198,1202,1204,1208,1214,1216,1220,1222,1226,1228,1234,1238,1240,1244,1246,1250,1252,1256,1262,1264,1268,1276,1282,1286,1294,1298,1304,1306,1312,1316,1318,1322,1324,1328,1336,1346,1348,1352,1354,1358,1366,1372,1376,1382,1384,1388,1396,1402,1412,1418,1424,1432,1436,1438,1448,1454,1466,1468,1478,1486,1492,1502,1504,1514,1516,1522,1528,1532,1538,1544,1546,1552,1556,1574,1576,1588,1592,1594,1604,1616,1618,1622,1636,1642,1646,1648,1654,1658,1676,1678,1682,1684,1688,1696,1706,1712,1714,1718,1724,1726,1732,1744,1754,1756,1762,1766,1772,1774,1784,1796,1808,1814,1816,1822,1828,1832,1838,1844,1852,1858,1864,1868,1874,1882,1888,1894,1906,1912,1916,1922,1928,1934,1942,1948,1952,1954,1964,1966,1982,1994,1996,2008,2012,2018,2026,2032,2036,2038,2042,2048=2^11}
1029 = 3*7^3         {1050,1071,1113,1134,1239,1281,1323}
1053 = 3^4*13        {1092,1131,1209,1521}
1058 = 2*23^2        {1104,1150,1196,1334,1426,1472}
1078 = 2*7^2*11      {1232}
1080 = 2^3*3^3*5     {1110}
1083 = 3*19^2        {1197,1311,1539}
1088 = 2^6*17        {1156}
1089 = 3^2*11^2      {1122,1221,1287}
1100 = 2^2*5^2*11    {1210}
1125 = 3^2*5^3       {1140,1155,1185,1215}
1127 = 7^2*23        {1288}
1152 = 2^7*3^2       {1158,1164,1170,1176,1182,1188,1194,1200,1206,1212,1236,1242,1248,1266,1272,1278,1284,1296}
1156 = 2^2*17^2      {1190,1224}
1176 = 2^3*3*7^2     {1218}
1183 = 7*13^2        {1274,1547,1729,2093}
1184 = 2^5*37        {1258}
1215 = 3^5*5         {1230,1245,1275,1305,1335,1395,1425,1455,1515,1545,1605,1635,1695,1875}
1216 = 2^6*19        {1254,1292,1444}
1225 = 5^2*7^2       {1295,1435,1505,1645,1715}
1250 = 2*5^4         {1260,1270,1280}
1280 = 2^8*5         {1290,1300,1310,1330,1340,1360,1370,1390,1420,1450,1460,1490,1510,1550,1570,1580,1600}
1296 = 2^4*3^4       {1302,1308,1314,1320,1326,1332,1338,1350,1356,1362,1368,1374,1392,1398,1416,1422,1434,1446,1458}
1312 = 2^5*41        {1394}
1323 = 3^3*7^2       {1344,1365,1407,1449,1491,1533,1575,1659,1701}
1331 = 11^3          {1342,1353,1364,1375,1397,1408,1419,1441,1463,1507,1529,1551,1573,1617,1639,1661,1727,1771,1793,1837,1903,1969,1991,2057,2101,2123,2167,2189,2299,2321,2453,2497,2519,2563,2629,2651,2761,2783,2827,2893,2959,2981,3047,3091,3113,3223,3377,3421,3443,3487,3509,3641,3707,3751,3817,3839,3883,3949,4037,4103,4169,4213,4279,4367,4411,4499,4609,4631,4741,4763,4829,4873,4939,5027,5071,5093,5137,5269,5357,5401,5489,5533,5599,5731,5753,5951,6017,6127,6193,6259,6281,6347,6457,6523,6589,6611,6677,6743,6787,6809,6941,7051,7073,7117,7183,7249,7271,7403,7447,7513,7601,7711,7799,7909,7997,8063,8129,8173,8261,8327,..}
1350 = 2*3^3*5^2     {1380,1410,1440}
1352 = 2^3*13^2      {1378,1404,1508,1534,1586,1612,1664}
1369 = 37^2          {1406,1443,1480,1517,1591,1665,1739,1813,1961,2183,2257,2479,2627,2701,2923,3071,3293,3589,3737,3811,3959,4033,4181,4477,4699,4847,5069,5143,5513,5587,5809,6031,6179,6401,6623,6697,7067,7141,7289,7363,7807,8251,..}
1372 = 2^2*7^3       {1386,1400,1414,1442,1456,1484,1498,1526,1568}
1375 = 5^3*11        {1485,1595,1705,2035,3025}
1376 = 2^5*43        {1462}
1377 = 3^4*17        {1428,1479,1581,1683,1887}
1408 = 2^7*11        {1430,1452,1474,1496,1540,1562,1606,1628,1738,1826,1936}
1421 = 7^2*29        {2233}
1431 = 3^3*53        {1749}
1444 = 2^2*19^2      {1520,1558,1634,1672}
1445 = 5*17^2        {1615,1955,2125}
1458 = 2*3^6         {1464,1470,1476,1482,1488,1494,1500,1506,1512,1524,1536}
1472 = 2^6*23        {1518,1564,1702,1748}
1485 = 3^3*5*11      {1815}
1500 = 2^2*3*5^3     {1530}
1504 = 2^5*47        {1598,1786}
1519 = 7^2*31        {2387}
1521 = 3^2*13^2      {1599,1677,1833,1989,2067}
1536 = 2^9*3         {1542,1548,1554,1560,1566,1572,1578,1584,1590,1602,1608,1614,1626,1632,1644,1662,1668,1674,1686,1692,1698,1704,1728}
1539 = 3^4*19        {1653,1767,1881,2109}
1568 = 2^5*7^2       {1582,1596,1624,1638,1652,1666,1694,1708,1736,1778,1792}
1573 = 11^2*13       {1859}
1587 = 3*23^2        {1656,1725,1863}
1593 = 3^3*59        {1947}
1600 = 2^6*5^2       {1610,1620,1630,1640,1660,1670,1700,1720,1730,1760,1780,1790,1810,1840,1850,1880,1910,1930,1940,1970,1990,2000}
1620 = 2^2*3^4*5     {1650,1680,1710}
1625 = 5^3*13        {1755,1885,2015}
1647 = 3^3*61        {2013}
1664 = 2^7*13        {1690,1716,1742,1768,1846,1898,1924,1976}
1681 = 41^2          {1763,1804,1845,1886,1927,2009,2091,2173,2255,2419,2501,2747,2911,2993,3239,3403,3649,3977,4141,4223,4387,4469,4633,4961,5207,5371,5617,5699,6109,6191,6437,6683,6847,7093,7339,7421,7831,7913,8077,8159,..}
1682 = 2*29^2        {1798,1856}
1696 = 2^5*53        {1802,2014}
1701 = 3^5*7         {1722,1743,1827,1869,1911,1953,2037,2079,2121,2163}
1715 = 5*7^3         {1750,1785,1855,1925,2065,2135,2345}
1728 = 2^6*3^3       {1734,1740,1746,1752,1758,1764,1770,1776,1782,1788,1794,1800,1812,1818,1824,1842,1854,1866,1872,1878,1884,1896,1902,1908,1926,1944}
1734 = 2*3*17^2      {1836}
1760 = 2^5*5*11      {1870}
1792 = 2^8*7         {1806,1820,1834,1848,1862,1876,1904,1918,1946,1960,1988,2044}
1800 = 2^3*3^2*5^2   {1830,1860}
1805 = 5*19^2        {1900,2185,2375}
1836 = 2^2*3^3*17    {1938}
1849 = 43^2          {1892,1978,2021,2107,2279,2365,2537,2623,2881,3053,3139,3397,3569,3827,4171,4343,4429,4601,4687,4859,5203,5461,5633,5891,5977,6407,6493,6751,7009,7181,7439,7697,7783,8213,8299,..}
1856 = 2^6*29        {1914,1972}
1863 = 3^4*23        {1932,2001,2139}
1875 = 3*5^4         {1890,1905,1920,1935,1965,1995,2025}
1888 = 2^5*59        {2006}
1922 = 2*31^2        {1984}
1936 = 2^4*11^2      {1958,2002,2024}
1944 = 2^3*3^5       {1950,1956,1962,1968,1974,1980,1986,1992,1998,2004,2016,2022,2028,2034}
1984 = 2^6*31        {2046}
2000 = 2^4*5^3       {2010,2020,2030}
2023 = 7*17^2        {2261}
2025 = 3^4*5^2       {2040,2055,2085,2115,2145,2175}
2048 = 2^11          {2050,2052,2054,2056,2058,2060,2062,2064,2066,2068,2070,2072,2074,2076,2078,2080,2082,2084,2086,2088,2090,2092,2094,2096,2098,2102,2104,2106,2108,2110,2112,2114,2116,2118,2120,2122,2124,2126,2128,2130,2132,2134,2136,2138,2140,2144,2146,2148,2150,2152,2154,2156,2158,2160,2164,2168,2170,2172,2174,2176,2180,2182,2186,2188,2192,2194,2198,2200,2204,2206,2212,2216,2218,2222,2224,2228,2230,2234,2240,2242,2246,2248,2252,2258,2260,2264,2266,2270,2272,2276,2282,2284,2290,2294,2296,2302,2306,2308,2318,2320,2324,2326,2330,2332,2336,2338,2342,2344,2348,2354,2356,2360,2362,2368,2372,2374,2378,2384,2386,2390,2396,2398,2402,2404,2410,2416,2426,2428,2432,2434,2440,2446,2452,2456,2458,2462,2468,2474,2476,2480,2486,2488,2494,2498,2500,2504,2512,2518,2524,2528,2536,2542,2552,2554,2558,2564,2566,2572,2578,2582,2588,2594,2596,2602,2606,2608,2612,2614,2624,2636,2638,2642,2644,2648,2654,2656,2662,2666,2672,2692,2696,2708,2722,2732,2734,2746,2752,2762,2764,2768,2776,2792,2798,2804,2818,2824,2836,2846,2848,2854,2858,2864,2866,2872,2876,2878,2894,2896,2902,2906,2908,2918,2932,2936,2942,2956,2962,2966,2972,2974,2978,2984,2986,2998,3004,3022,3028,3032,3044,3046,3056,3062,3064,3076,3086,3088,3092,3098,3104,3106,3112,3118,3134,3142,3148,3152,3158,3166,3176,3184,3188,3194,3202,3208,3214,3218,3226,3232,3236,3238,3242,3244,3254,3272,3274,3284,3292,3296,3308,3314,3316,3326,3334,3338,3352,3356,3364,3368,3376,3386,3394,3398,3412,3418,3424,3428,3436,3442,3446,3448,3452,3464,3466,3482,3488,3494,3506,3508,3512,3518,3524,3532,3544,3548,3554,3566,3568,3574,3578,3592,3602,3616,3622,3628,3632,3644,3646,3656,3662,3664,3676,3688,3694,3704,3716,3722,3728,3734,3736,3742,3746,3748,3754,3758,3764,3778,3788,3802,3812,3814,3824,3826,3832,3844,3856,3862,3866,3868,3884,3896,3898,3902,3908,3928,3932,3946,3958,3964,3974,3986,3988,3992,3994,3998,4006,4016,4022,4024,4034,4036,4052,4054,4058,4064,4072,4076,4078,4084,4096=2^12}
2052 = 2^2*3^3*19    {2166}
2057 = 11^2*17       {3179}
2058 = 2*3*7^3       {2100,2142}
2106 = 2*3^4*13      {2184}
2112 = 2^6*3*11      {2178}
2116 = 2^2*23^2      {2162,2254,2300,2438,2668,2714,2806,2852,2944}
2125 = 5^3*17        {2465,2635}
2176 = 2^7*17        {2278,2312}
2187 = 3^7           {2190,2193,2196,2199,2202,2205,2208,2211,2214,2217,2220,2226,2229,2232,2235,2238,2241,2244,2247,2250,2253,2259,2265,2268,2271,2274,2277,2283,2286,2289,2292,2295,2298,2304,2307,2313,2319,2325,2331,2337,2343,2349,2355,2361,2367,2373,2385,2391,2403,2409,2421,2427,2433,2439,2445,2451,2463,2469,2475,2481,2487,2493,2505,2511,2517,2529,2547,2553,2559,2571,2577,2589,2595,2601,2607,2619,2631,2637,2643,2649,2655,2661,2673,2685,2715,2721,2727,2733,2745,2757,2763,2775,2781,2787,2799,2811,2817,2823,2829,2841,2853,2859,2865,2889,2895,2901,2913,2931,2943,2949,2955,2967,2973,2979,2985,2991,2997,3015,3027,3033,3039,3051,3057,3063,3075,3093,3099,3117,3123,3141,3147,3153,3177,3183,3189,3207,3231,3249,3261,3273,3279,3291,3303,3309,3321,3327,3351,3357,3369,3387,3411,3429,3447,3453,3459,3483,3489,3501,3513,3537,3543,3561,3573,3579,3603,3609,3639,3651,3669,3681,3687,3693,3699,3711,3747,3753,3771,3777,3789,3831,3837,3849,3867,3873,3879,3891,3897,3903,3909,3921,3951,3957,3963,3981,3987,4023,4041,4077,4083,4101,4113,4119,4143,4149,4167,4197,4203,4227,4239,4269,4281,4287,4299,4311,4317,4341,4353,4359,4377,4383,4401,4413,4419,4443,4449,4461,4467,4479,4491,4497,4509,4527,4533,4569,4581,4593,4629,4647,4659,4671,4677,4689,4701,4707,4713,4737,4749,4761,4791,4803,4821,4827,4833,4839,4857,4863,4869,4881,4887,4911,4923,4971,4989,5001,5007,5013,5067,5079,5091,5097,5121,5127,5139,5157,5163,5169,5193,5199,5211,5223,5241,5259,5277,5283,5319,5331,5337,5349,5361,5367,5373,5391,5403,5409,5433,5463,5469,5493,5517,5541,5553,5571,5583,5601,5613,5619,5631,5637,5667,5679,5697,5703,5721,5739,5769,5787,5793,5799,5823,5847,5853,5877,5919,5931,5937,5949,5961,5979,5991,5997,6009,6021,6033,6051,6057,6081,6087,6093,6117,6129,6147,6159,6183,6189,6207,6219,6243,6249,6261,6267,6291,6297,6309,6333,6339,6381,6387,6393,6411,6423,6429,6453,6459,6471,6483,6507,6537,6543,6561=3^8}
2197 = 13^3          {2210,2223,2236,2249,2262,2275,2288,2301,2314,2327,2353,2366,2379,2392,2405,2431,2483,2509,2522,2535,2561,2587,2613,2626,2665,2678,2691,2704,2743,2769,2795,2847,2873,2899,2951,2977,3029,3081,3107,3133,3159,3211,3263,3341,3419,3497,3523,3601,3653,3679,3809,3887,3991,4043,4069,4121,4303,4381,4511,4537,4589,4667,4771,4849,4901,4927,4979,5057,5161,5213,5239,5317,5447,5473,5603,5629,5707,5759,5837,5941,5993,6019,6071,6227,6253,6331,6383,6487,6539,6617,6773,6799,6929,7033,7111,7241,7267,7319,7397,7423,7501,7631,7709,7787,7813,7891,7969,8021,8047,8203,8333,..}
2200 = 2^3*5^2*11    {2420}
2209 = 47^2          {2256,2303,2350,2397,2444,2491,2585,2679,2726,2773,2867,2914,3008,3055,3149,3243,3337,3431,3713,3807,3901,4183,4559,4747,4841,5029,5123,5311,5687,5969,6157,6439,6533,7003,7097,7379,7661,7849,7943,8131,..}
2250 = 2*3^2*5^3     {2280}
2299 = 11^2*19       {2717,3971}
2304 = 2^8*3^2       {2310,2316,2322,2328,2334,2340,2352,2358,2364,2370,2376,2382,2388,2400,2406,2412,2418,2424,2454,2466,2472,2484,2496,2502,2514,2526,2532,2538,2544,2556,2568,2586,2592}
2312 = 2^3*17^2      {2346,2380,2414,2448}
2336 = 2^5*73        {2482}
2349 = 3^4*29        {2523}
2352 = 2^4*3*7^2     {2394}
2368 = 2^6*37        {2516,2738}
2375 = 5^3*19        {2565,2755,2945}
2376 = 2^3*3^3*11    {2442}
2400 = 2^5*3*5^2     {2430}
2401 = 7^4           {2408,2415,2422,2429,2436,2443,2450,2457,2464,2471,2478,2485,2492,2499,2506,2513,2527,2534,2541,2548,2555,2562,2569,2576,2583,2597,2611,2625,2632,2639,2653,2667,2674,2681,2695,2702,2709,2716,2723,2737,2744,2751,2765,2779,2807,2821,2849,2863,2877,2891,2905,2919,2933,2947,2961,2975,2989,3017,3031,3073,3087,3101,3115,3143,3157,3199,3227,3241,3269,3283,3311,3353,3367,3409,3437,3451,3479,3493,3521,3563,3577,3619,3647,3661,3689,3703,3731,3773,3787,3829,3871,3899,3913,3941,3983,3997,4039,4067,4109,4151,4193,4207,4249,4277,4291,4319,4333,4361,4403,4417,4459,4487,4501,4529,4571,4613,4627,4711,4739,4753,4781,4837,4879,4907,4949,4963,5033,5047,5089,5131,5173,5201,5243,5257,5299,5327,5341,5383,5411,5509,5537,5579,5663,5677,5747,5761,5789,5803,5873,5887,5971,5999,6013,6041,6139,6167,6181,6209,6223,6349,6377,6419,6433,6503,6559,6587,6629,6671,6713,6727,6769,6797,6811,6839,6881,6937,6979,7063,7091,7133,7147,7217,7231,7273,7301,7343,7357,7399,7427,7441,7483,7609,7637,7651,7679,7693,7721,7763,7819,7861,7903,7987,8057,8071,8141,8183,8197,8267,8309,..}
2430 = 2*3^5*5       {2460,2490}
2432 = 2^7*19        {2470,2508,2546,2584,2698,2774,2888}
2464 = 2^5*7*11      {2618}
2496 = 2^6*3*13      {2574}
2500 = 2^2*5^4       {2510,2520,2530,2540,2550,2560}
2511 = 3^4*31        {2883}
2523 = 3*29^2        {2697}
2527 = 7*19^2        {2793,3059,3857,4123,4921,5453,5719,6251,6517}
2528 = 2^5*79        {2686}
2535 = 3*5*13^2      {2925}
2560 = 2^9*5         {2570,2580,2590,2600,2620,2630,2650,2660,2680,2690,2710,2720,2740,2770,2780,2810,2830,2840,2900,2920,2930,2950,2980,3020,3050,3070,3100,3110}
2592 = 2^5*3^4       {2598,2604,2610,2616,2622,2628,2634,2640,2646,2658,2664,2670,2676,2682,2694,2700,2712,2718,2724,2736,2742,2748,2766,2778,2784,2796,2802,2826,2832,2844,2868,2874,2892,2916}
2601 = 3^2*17^2      {2652,2703,2754,2907,3009,3111,3417,3519,3621,3723,4029,4131}
2624 = 2^6*41        {2788,3362}
2625 = 3*5^3*7       {2835}
2645 = 5*23^2        {2875}
2646 = 2*3^3*7^2     {2688}
2656 = 2^5*83        {2822}
2662 = 2*11^3        {2684,2728,2750,2794,2816}
2673 = 3^5*11        {2706,2739,2805,2871,2937,3003,3201,3267}
2700 = 2^2*3^3*5^2   {2760,2790,2820,2880}
2704 = 2^4*13^2      {2730,2756,2782,2808,2834,2938,3016,3068,3172,3224,3302,3328}
2720 = 2^5*5*17      {2890}
2736 = 2^4*3^2*19    {2850}
2738 = 2*37^2        {2812,2960,3034}
2744 = 2^3*7^3       {2758,2772,2786,2800,2814,2828,2842,2884,2898,2912,2954,2996,3038,3052,3122,3136}
2752 = 2^6*43        {2924,3182,3698}
2754 = 2*3^4*17      {2856}
2783 = 11^2*23       {3289,5819}
2800 = 2^4*5^2*7     {2870,3010}
2808 = 2^3*3^3*13    {2886}
2809 = 53^2          {2862,2915,2968,3021,3074,3127,3233,3286,3392,3551,3657,3763,3869,4187,4293,4399,4717,5141,5353,5459,5671,5777,5989,6413,6731,6943,7261,7367,7897,8003,8321,..}
2816 = 2^8*11        {2838,2860,2882,2904,2948,2992,3014,3058,3124,3146,3212,3256,3278,3322,3454,3476,3586,3652,3674,3806,3872}
2835 = 3^4*5*7       {3045}
2848 = 2^5*89        {3026}
2873 = 13^2*17       {3757}
2875 = 5^3*23        {3105}
2880 = 2^6*3^2*5     {2910}
2883 = 3*31^2        {3069}
2888 = 2^3*19^2      {2926,3002,3040,3116,3154,3268,3344,3382}
2912 = 2^5*7*13      {3094}
2916 = 2^2*3^6       {2922,2928,2934,2940,2946,2952,2958,2964,2970,2976,2982,2988,2994,3000,3006,3012,3018,3024,3042,3048,3054,3072}
2944 = 2^7*23        {2990,3036,3082,3128,3266,3358,3404,3496,3634,3818,4094}
2997 = 3^4*37        {3219,3441,4107}
3000 = 2^3*3*5^3     {3030,3060}
3008 = 2^6*47        {3196,3478,3572}
3024 = 2^4*3^3*7     {3066}
3025 = 5^2*11^2      {3080}
3072 = 2^10*3        {3078,3084,3090,3096,3102,3114,3120,3126,3132,3138,3144,3156,3162,3168,3174,3186,3204,3216,3222,3228,3246,3252,3258,3264,3282,3288,3294,3324,3336,3342,3348,3372,3378,3384,3396,3408,3414,3426,3438,3456}
3087 = 3^2*7^3       {3108,3129,3171,3213,3297,3339,3381,3423,3507,3633,3759,3801,3969}
3104 = 2^5*97        {3298,3686}
3125 = 5^5           {3130,3135,3140,3145,3155,3160,3165,3170,3175,3180,3185,3190,3195,3200,3205,3215,3225,3235,3245,3255,3265,3275,3285,3295,3305,3325,3335,3345,3355,3365,3375,3385,3395,3415,3425,3445,3455,3475,3485,3505,3515,3535,3545,3565,3575,3595,3605,3625,3635,3655,3665,3685,3695,3715,3725,3745,3755,3775,3785,3805,3815,3845,3865,3875,3895,3905,3925,3935,3955,3985,3995,4015,4045,4055,4075,4085,4105,4115,4135,4145,4165,4175,4195,4225,4255,4265,4285,4295,4315,4325,4345,4375,4385,4405,4415,4435,4465,4475,4505,4525,4535,4555,4565,4595,4625,4645,4685,4705,4715,4735,4765,4775,4825,4835,4855,4885,4895,4915,4925,4945,4955,4975,4985,5035,5045,5065,5095,5105,5125,5155,5165,5195,5245,5255,5275,5305,5315,5335,5345,5375,5405,5435,5455,5465,5485,5515,5545,5555,5575,5585,5615,5645,5665,5675,5725,5755,5765,5815,5825,5855,5875,5885,5905,5935,5965,5975,5995,6005,6025,6065,6085,6095,6115,6145,6155,6185,6215,6245,6275,6295,6385,6395,6415,6425,6445,6455,6485,6505,6515,6535,6575,6595,6605,6625,6635,6655,6725,6775,6805,6835,6865,6905,6925,6995,7025,7045,7075,7115,7135,7145,7165,7195,7235,7255,7265,7295,7325,7355,7405,7415,7435,7445,7465,7495,7555,7615,7655,7675,7715,7745,7765,7775,7795,7825,7835,7855,7895,7915,7925,7985,8005,8035,8045,8065,8095,8105,8135,8185,8275,8285,8315,8335,..}
3136 = 2^6*7^2       {3150,3164,3178,3192,3206,3248,3262,3304,3318,3332,3346,3374,3388,3402,3416,3472,3514,3556,3584}
3159 = 3^5*13        {3198,3237,3276,3315,3393,3471,3549,3627,3783,3939,4017,4173,4251,4407,4563}
3168 = 2^5*3^2*11    {3234}
3174 = 2*3*23^2      {3312}
3179 = 11*17^2       {3553,4301,4675}
3200 = 2^7*5^2       {3210,3220,3230,3240,3250,3260,3280,3290,3310,3320,3340,3350,3370,3400,3410,3430,3440,3460,3470,3490,3520,3530,3550,3560,3580,3590,3610,3620,3650,3670,3680,3700,3730,3760,3790,3820,3830,3860,3880,3890,3940,3950,3970,3980,4000}
3211 = 13^2*19       {4693}
3232 = 2^5*101       {3434,3838}
3240 = 2^3*3^4*5     {3270,3330,3360}
3249 = 3^2*19^2      {3306,3363,3477,3591,3819,3933,4047,4161,4503,4617}
3267 = 3^3*11^2      {3300,3333,3366,3399,3531,3597,3663,3729,3861,3993}
3296 = 2^5*103       {3502,3914}
3321 = 3^4*41        {3567,3813,5043}
3328 = 2^8*13        {3354,3380,3406,3432,3458,3484,3536,3562,3614,3692,3718,3796,3848,3874,3926,3952,4082}
3362 = 2*41^2        {3526,3608,3772,3854}
3364 = 2^2*29^2      {3422,3538,3596,3712}
3375 = 3^3*5^3       {3390,3405,3420,3435,3450,3465,3495,3525,3555,3585,3615,3645}
3388 = 2^2*7*11^2    {3542}
3392 = 2^6*53        {3604,3922,4028}
3402 = 2*3^5*7       {3444}
3424 = 2^5*107       {3638,4066}
3430 = 2*5*7^3       {3500}
3456 = 2^7*3^3       {3462,3468,3474,3480,3486,3492,3498,3504,3510,3516,3522,3528,3534,3546,3552,3558,3564,3576,3582,3588,3594,3600,3606,3618,3624,3636,3642,3648,3666,3678,3684,3702,3708,3714,3726,3732,3744,3756,3768,3786,3792,3798,3804,3816,3834,3846,3852,3858,3882,3888}
3468 = 2^2*3*17^2    {3672}
3481 = 59^2          {3540,3599,3658,3717,3776,3835,3953,4071,4189,4307,4661,4779,4897,5251,5605,5723,5959,6077,6313,6431,6667,6785,7139,7375,7493,7729,8083,8201,..}
3483 = 3^4*43        {3741,3999,5547}
3488 = 2^5*109       {3706}
3509 = 11^2*29       {4147}
3520 = 2^6*5*11      {3740}
3528 = 2^3*3^2*7^2   {3570}
3584 = 2^9*7         {3598,3612,3626,3640,3654,3668,3682,3696,3710,3724,3738,3752,3766,3794,3808,3836,3878,3892,3920,3934,3962,3976,4018,4088}
3600 = 2^4*3^2*5^2   {3630}
3610 = 2*5*19^2      {3800}
3616 = 2^5*113       {3842}
3625 = 5^3*29        {4205}
3645 = 3^6*5         {3660,3675,3690,3705,3720,3735,3750,3765,3795,3825,3855,3915,3945,3975,4005,4035,4065,4155,4215,4245,4275,4365,4395,4425,4545,4605,4635,4665,4695,4755,4815,4905,4965,5055,5085,5205,5235,5295,5385,5505,5595,5625}
3648 = 2^6*3*19      {3762}
3672 = 2^3*3^3*17    {3774,3876}
3675 = 3*5^2*7^2     {3885}
3680 = 2^5*5*23      {3910}
3698 = 2*43^2        {3784,3956,4042}
3703 = 7*23^2        {4025,4669,4991,5957,6601,6923,7567,7889}
3712 = 2^7*29        {3770,3828,3886,3944}
3721 = 61^2          {3782,3843,3904,3965,4087,4209,4331,4453,4575,4819,4941,5063,5429,5795,5917,6161,6283,6527,6649,6893,7015,7381,7625,7747,7991,..}
3726 = 2*3^4*23      {3864}
3744 = 2^5*3^2*13    {3822}
3750 = 2*3*5^4       {3780,3810,3840}
3751 = 11^2*31       {4433}
3757 = 13*17^2       {4199}
3773 = 7^3*11        {3850,3927,4081,4235,4543,4697,5929}
3776 = 2^6*59        {4012}
3807 = 3^4*47        {4089,4371}
3808 = 2^5*7*17      {4046}
3840 = 2^8*3*5       {3870}
3844 = 2^2*31^2      {3968}
3872 = 2^5*11^2      {3916,3938,3982,4004,4048}
3875 = 5^3*31        {4185,4805}
3887 = 13^2*23       {6877}
3888 = 2^4*3^5       {3894,3900,3906,3912,3918,3924,3930,3936,3942,3948,3954,3960,3966,3972,3978,3984,3996,4002,4008,4014,4038,4044,4056,4062,4068,4086}
3969 = 3^4*7^2       {3990,4011,4032,4053,4095,4137,4179,4221,4263,4305,4347,4431,4473,4557,4599,4683,4767,4809,4893,4977,5019,5061,5103}
3971 = 11*19^2       {4807,5225,6061,6479}
3993 = 3*11^3        {4026,4059,4092,4125,4191,4257,4323,4389,4521,4587,4653,4851}
4000 = 2^5*5^3       {4010,4020,4030,4040,4050,4060,4070,4090}
4023 = 3^3*149       {4917}
4032 = 2^6*3^2*7     {4074}
4050 = 2*3^4*5^2     {4080}
4077 = 3^3*151       {4983}
4096 = 2^12          {4098,4100,4102,4104,4106,4108,4110,4112,4114,4116,4118,4120,4122,4124,4126,4128,4130,4132,4134,4136,4138,4140,4142,4144,4146,4148,4150,4152,4154,4156,4160,4162,4164,4166,4168,4170,4172,4174,4176,4178,4180,4184,4186,4188,4190,4192,4194,4196,4198,4202,4204,4206,4208,4210,4212,4214,4216,4220,4222,4224,4226,4228,4230,4232,4234,4236,4238,4240,4244,4246,4248,4250,4252,4254,4256,4258,4260,4262,4264,4266,4268,4270,4272,4274,4276,4280,4282,4286,4288,4292,4294,4296,4298,4300,4302,4304,4306,4308,4310,4312,4314,4316,4318,4320,4322,4328,4330,4334,4336,4338,4340,4342,4344,4346,4348,4352,4354,4358,4360,4362,4364,4366,4372,4374,4376,4378,4382,4384,4388,4390,4394,4396,4400,4402,4406,4408,4412,4414,4418,4424,4426,4430,4432,4436,4438,4442,4444,4448,4450,4456,4460,4468,4474,4478,4484,4486,4490,4492,4496,4502,4504,4514,4516,4520,4526,4528,4532,4534,4538,4540,4544,4546,4552,4558,4562,4564,4568,4570,4574,4580,4582,4586,4588,4592,4594,4598,4604,4610,4612,4616,4618,4622,4630,4634,4636,4642,4648,4652,4660,4664,4666,4670,4672,4676,4678,4682,4684,4688,4694,4696,4702,4708,4712,4714,4718,4720,4724,4736,4742,4744,4748,4750,4754,4756,4762,4766,4768,4772,4778,4780,4786,4790,4792,4796,4798,4802,4804,4808,4814,4820,4822,4826,4832,4834,4838,4846,4850,4852,4856,4864,4868,4870,4874,4880,4882,4892,4894,4898,4904,4906,4910,4912,4916,4918,4924,4934,4936,4946,4948,4952,4954,4972,4976,4988,4990,4994,4996,5000,5002,5006,5008,5024,5036,5038,5042,5048,5056,5062,5072,5074,5078,5084,5086,5098,5102,5104,5108,5114,5116,5126,5128,5132,5144,5146,5156,5158,5162,5164,5176,5182,5186,5188,5192,5204,5212,5216,5218,5224,5228,5234,5242,5246,5248,5258,5266,5272,5276,5284,5288,5294,5296,5302,5308,5312,5314,5318,5324,5326,5332,5342,5344,5354,5366,5374,5378,5384,5386,5392,5398,5414,5416,5422,5426,5438,5444,5458,5462,5464,5468,5482,5492,5498,5504,5506,5518,5524,5528,5534,5536,5552,5554,5578,5582,5584,5594,5596,5602,5606,5608,5618,5626,5636,5638,5648,5666,5672,5674,5686,5692,5696,5702,5708,5714,5716,5722,5728,5732,5744,5752,5756,5758,5774,5788,5792,5794,5804,5806,5812,5816,5818,5834,5836,5854,5858,5864,5872,5878,5884,5906,5912,5914,5924,5926,5932,5938,5942,5944,5948,5956,5968,5972,5974,5996,5998,6002,6008,6014,6022,6038,6044,6046,6056,6064,6074,6082,6088,6092,6098,6112,6122,6124,6128,6134,6152,6158,6166,6172,6176,6178,6184,6196,6206,6208,6212,6218,6224,6236,6238,6242,6262,6268,6274,6284,6296,6304,6316,6322,6326,6332,6334,6338,6352,6362,6368,6374,6376,6382,6386,6388,6404,6406,6416,6418,6428,6434,6436,6442,6452,6458,6464,6472,6476,6484,6488,6502,6506,6508,6514,6518,6542,6544,6548,6554,6568,6584,6592,6598,6602,6614,6616,6626,6628,6632,6634,6638,6646,6652,6658,6662,6668,6676,6686,6694,6704,6712,6718,6722,6728,6736,6742,6746,6752,6758,6772,6778,6782,6788,6796,6814,6824,6826,6836,6848,6856,6866,6872,6884,6892,6896,6898,6904,6914,6922,6926,6928,6932,6934,6938,6962,6964,6976,6982,6988,6998,7006,7012,7016,7022,7024,7034,7036,7048,7054,7058,7064,7066,7078,7082,7088,7094,7096,7108,7114,7118,7132,7136,7142,7148,7156,7162,7166,7184,7186,7204,7214,7226,7232,7234,7244,7246,7256,7262,7264,7274,7286,7288,7292,7312,7318,7324,7328,7342,7346,7352,7354,7376,7382,7388,7394,7402,7408,7418,7432,7438,7442,7444,7454,7456,7466,7468,7472,7478,7484,7492,7496,7508,7516,7522,7528,7534,7538,7556,7558,7576,7586,7594,7604,7606,7624,7628,7642,7646,7648,7652,7664,7666,7688,7694,7702,7706,7712,7724,7726,7732,7736,7754,7762,7768,7778,7792,7796,7804,7814,7816,7822,7834,7838,7846,7856,7858,7862,7864,7886,7892,7894,7916,7928,7934,7948,7972,7976,7978,7984,7988,7996,8002,8006,8012,8014,8026,8032,8038,8042,8044,8048,8054,8068,8072,8098,8102,8104,8108,8114,8116,8128,8144,8146,8152,8156,8158,8168,8182,8186,8192=2^13}
4104 = 2^3*3^3*19    {4332}
4107 = 3*37^2        {4218,4329,4551,4773,5217}
4116 = 2^2*3*7^3     {4158,4200,4242,4326}
4125 = 3*5^3*11      {4455}
4131 = 3^5*17        {4182,4233,4284,4335,4437,4539,4743}
4205 = 5*29^2        {4495,4640}
4212 = 2^2*3^4*13    {4368}
4224 = 2^7*3*11      {4356}
4225 = 5^2*13^2      {4290,4355,4485,4615,4745,5135,5395,5785,6305,6565,6695,6955,7085,7345,8125}
4232 = 2^3*23^2      {4278,4324,4370,4462,4508,4600,4646,4738,4876,4922,5014,5198,5336,5428,5612,5704,5842,5888}
4239 = 3^3*157       {5181}
4293 = 3^4*53        {4611,4929,5247,5883}
4312 = 2^3*7^2*11    {4466,4774}
4320 = 2^5*3^3*5     {4350}
4352 = 2^8*17        {4454,4522,4624}
4374 = 2*3^7         {4380,4386,4392,4398,4404,4416,4422,4428,4434,4440,4452,4458,4464,4470,4476,4482,4488,4494,4500,4506,4518,4536,4542,4548,4566,4572,4584,4596,4608}
4375 = 5^4*7         {4410,4445,4480,4515,4585,4655,4725,4795,4865,5075,5215,5285,5495,5635,5705,5845,6055,6125}
4394 = 2*13^3        {4420,4446,4472,4498,4524,4576,4628,4654,4706,4784,4966,5018,5044,5122,5174,5252,5356,5408}
4400 = 2^4*5^2*11    {4510,4730,4840}
4401 = 3^3*163       {5379}
4416 = 2^6*3*23      {4554}
4418 = 2*47^2        {4512,4606,4700,4888,4982,5452,5546,5734,5828,6016}
4455 = 3^4*5*11      {4785,5445}
4459 = 7^3*13        {4732,4823,5005,5369,5551,5915,8281}
4477 = 11^2*37       {5291}
4480 = 2^7*5*7       {4550}
4489 = 67^2          {4556,4623,4690,4757,4891,5025,5159,5293,5427,5561,5963,6097,6365,6499,6767,6901,7169,7303,7571,7705,8107,..}
4500 = 2^2*3^2*5^3   {4530,4560,4590}
4509 = 3^3*167       {5511}
4536 = 2^3*3^4*7     {4578}
4563 = 3^3*13^2      {4602,4641,4719,4797,4875,4953,5031,5109,5343,5421,5499,5811,5889,6123,6201,6357,6513}
4608 = 2^9*3^2       {4614,4620,4626,4632,4638,4644,4650,4656,4662,4668,4680,4686,4698,4704,4710,4716,4722,4728,4734,4740,4752,4758,4764,4770,4776,4782,4800,4806,4812,4824,4836,4842,4848,4854,4866,4878,4908,4926,4932,4938,4944,4962,4974,4986,4992,5004,5022,5028,5034,5052,5058,5064,5076,5088,5094,5118,5136,5142,5154,5172,5178,5184}
4617 = 3^5*19        {4674,4731,4845,4959,5073,5301,5415,5529,5643,5757,5871,6099,6213,6327,6441}
4624 = 2^4*17^2      {4658,4692,4726,4760,4794,4828,4862,4896}
4625 = 5^3*37        {4995,5365,6845}
4671 = 3^3*173       {5709}
4693 = 13*19^2       {5681,6175}
4698 = 2*3^4*29      {5046}
4704 = 2^5*3*7^2     {4746,4788}
4719 = 3*11^2*13     {5577}
4725 = 3^3*5^2*7     {4935}
4736 = 2^7*37        {4810,4958,5476}
4752 = 2^4*3^3*11    {4818,4884}
4761 = 3^2*23^2      {4899,4968,5037,5175,5451,5589}
4779 = 3^4*59        {5133,5487,5841,6549}
4800 = 2^6*3*5^2     {4860}
4802 = 2*7^4         {4816,4830,4844,4858,4872,4886,4900,4914,4928,4942,4956,4984,5012,5026,5068,5096,5138,5152,5194,5222,5264,5306,5348,5362,5404,5432,5446,5488}
4805 = 5*31^2        {4960,5115,5425,5735}
4833 = 3^3*179       {5907}
4860 = 2^2*3^5*5     {4890,4920,4950,4980}
4864 = 2^8*19        {4902,4940,4978,5016,5054,5092,5206,5282,5662,5738,5776}
4875 = 3*5^3*13      {5265}
4887 = 3^3*181       {5973}
4900 = 2^2*5^2*7^2   {4970}
4913 = 17^3          {4930,4947,4964,4981,4998,5015,5032,5049,5066,5083,5117,5134,5151,5168,5185,5219,5253,5287,5321,5389,5423,5457,5491,5525,5559,5593,5627,5661,5695,5729,5763,5797,5831,5899,5933,5967,6001,6103,6239,6341,6409,6443,6477,6511,6613,6647,6749,6817,6919,6953,7123,7157,7225,7327,7361,7463,7531,7633,7769,7837,7871,7939,8143,8279,..}
4928 = 2^6*7*11      {5082,5236}
4941 = 3^4*61        {5307,5673,6039}
4961 = 11^2*41       {5863,7667}
4968 = 2^3*3^3*23    {5106}
4992 = 2^7*3*13      {5148}
5000 = 2^3*5^4       {5010,5020,5030,5040,5050,5060,5070,5080,5090,5100,5110,5120}
5024 = 2^5*157       {5338}
5041 = 71^2          {5112,5183,5254,5325,5396,5467,5609,5751,5893,6035,6319,6461,6745,6887,7171,7313,7597,7739,8023,8165,..}
5043 = 3*41^2        {5289,5781,6273,6519}
5049 = 3^3*11*17     {6171}
5056 = 2^6*79        {5372}
5096 = 2^3*7^2*13    {5278}
5103 = 3^6*7         {5124,5145,5166,5187,5229,5271,5313,5397,5439,5481,5523,5607,5649,5691,5733,5817,5859,5901,5943,6027,6111,6153,6363,6447,6489,6531}
5120 = 2^10*5        {5130,5140,5150,5160,5170,5180,5200,5210,5230,5240,5260,5270,5290,5300,5320,5350,5360,5380,5410,5420,5440,5450,5470,5480,5510,5540,5560,5570,5620,5630,5650,5660,5680,5690,5710,5770,5800,5860,5870,5900,5930,5960,5990,6010,6040,6070,6100,6130,6140,6170,6190,6200,6220,6250}
5125 = 5^3*41        {5535,5945,6355}
5145 = 3*5*7^3       {5355,5565}
5152 = 2^5*7*23      {5474}
5157 = 3^3*191       {6303}
5184 = 2^6*3^4       {5190,5196,5202,5208,5214,5220,5226,5232,5238,5244,5250,5256,5262,5268,5274,5280,5286,5292,5298,5310,5316,5322,5328,5340,5352,5358,5364,5370,5382,5388,5394,5400,5424,5436,5442,5448,5454,5466,5472,5484,5496,5514,5526,5532,5556,5562,5568,5574,5592,5598,5604,5622,5634,5646,5652,5664,5682,5688,5706,5718,5736,5748,5766,5778,5784,5802,5826,5832}
5202 = 2*3^2*17^2    {5304,5406,5508}
5203 = 11^2*43       {6149,8041}
5211 = 3^3*193       {6369}
5216 = 2^5*163       {5542}
5239 = 13^2*31       {6851}
5248 = 2^7*41        {5330,5494,5576,5822,6724}
5290 = 2*5*23^2      {5750}
5292 = 2^2*3^3*7^2   {5334,5376}
5312 = 2^6*83        {5644}
5319 = 3^3*197       {6501}
5324 = 2^2*11^3      {5346,5368,5390,5456,5500,5522,5566,5588,5632}
5329 = 73^2          {5402,5475,5548,5621,5767,5840,5913,5986,6059,6205,6497,6643,7081,7373,7519,7811,7957,8249,..}
5344 = 2^5*167       {5678}
5346 = 2*3^5*11      {5412,5478}
5375 = 5^3*43        {6235,6665}
5376 = 2^8*3*7       {5418}
5400 = 2^3*3^3*5^2   {5430,5490,5520,5580}
5408 = 2^5*13^2      {5434,5460,5486,5512,5538,5564,5616,5668,5746,5798,5876,5902,5954,6032,6058,6136,6214,6266,6344,6448,6526,6604,6656}
5427 = 3^4*67        {5829,6231}
5440 = 2^6*5*17      {5780}
5476 = 2^2*37^2      {5550,5624,5846,5920,6068,6142}
5488 = 2^4*7^3       {5502,5516,5530,5544,5558,5572,5586,5600,5614,5628,5642,5656,5684,5726,5754,5768,5782,5824,5866,5894,5908,5978,5992,6034,6062,6076,6104,6146,6202,6244,6272}
5491 = 17^2*19       {6137}
5504 = 2^7*43        {5590,5762,5848,6106,6278,6364,7396}
5508 = 2^2*3^4*17    {5610,5712}
5536 = 2^5*173       {5882}
5547 = 3*43^2        {6063,6321}
5589 = 3^5*23        {5658,5727,5796,6003,6141,6417}
5600 = 2^5*5^2*7     {5740,5810,6020}
5616 = 2^4*3^3*13    {5694,5772}
5618 = 2*53^2        {5724,5936,6148,6254,6466,6572,6784}
5625 = 3^2*5^4       {5640,5655,5670,5685,5700,5715,5730,5745,5760,5775,5805,5835,5865,5895,5925,5955,5985,6015,6045,6075}
5632 = 2^9*11        {5654,5676,5698,5720,5742,5764,5786,5808,5830,5896,5918,5962,5984,6028,6050,6094,6116,6182,6226,6248,6292,6424,6446,6512,6556,6644,6754,6842,6886,6908,6974,7172,7282,7348,7414,7502,7612,7634,7678,7744}
5687 = 11^2*47       {6721}
5696 = 2^6*89        {6052,6586}
5728 = 2^5*179       {6086}
5733 = 3^2*7^2*13    {6279}
5751 = 3^4*71        {6177}
5760 = 2^7*3^2*5     {5790,5820}
5776 = 2^4*19^2      {5814,5852,5890,5966,6004,6080,6194,6232,6308,6346,6422,6536,6574,6688,6764,6802}
5792 = 2^5*181       {6154}
5819 = 11*23^2       {6325,7337,7843}
5831 = 7^3*17        {5950,6069,6188,6307,7021,7259,7973}
5832 = 2^3*3^6       {5838,5844,5850,5856,5862,5868,5874,5880,5886,5892,5898,5904,5910,5916,5922,5928,5940,5946,5952,5958,5964,5970,5976,5982,5988,5994,6000,6012,6018,6024,6036,6042,6048,6054,6066,6078,6084,6096,6102,6108,6114,6126,6144}
5875 = 5^3*47        {6815,7285}
5887 = 7*29^2        {6293,7511,8323}
5888 = 2^8*23        {5934,5980,6026,6072,6118,6164,6256,6302,6394,6532,6716,6808,6854,6946,7222,7498,7682,7958}
5913 = 3^4*73        {6351}
5929 = 7^2*11^2      {6006,6083,6237,6391,6853,7007,7469,7777,7931,8239}
5952 = 2^6*3*31      {6138}
5984 = 2^5*11*17     {6358}
6000 = 2^4*3*5^3     {6030,6060}
6016 = 2^7*47        {6110,6298,6392,6674,6862,6956}
6048 = 2^5*3^3*7     {6132}
6075 = 3^5*5^2       {6090,6105,6120,6135,6165,6225,6255,6285,6315,6345,6375,6435,6465,6495,6525,6555}
6112 = 2^5*191       {6494}
6125 = 5^3*7^2       {6160,6195,6230,6265,6335,6405,6475,6545,6685,6755,6895,6965,7105,7175,7385,7525,7805,7945,8015,8155,8225}
6144 = 2^11*3        {6150,6156,6162,6168,6174,6180,6186,6192,6198,6204,6210,6222,6228,6234,6240,6246,6252,6264,6276,6282,6288,6294,6306,6312,6318,6324,6336,6348,6354,6366,6372,6378,6408,6414,6432,6444,6456,6462,6492,6504,6516,6522,6528,6546,6558}
6156 = 2^2*3^4*19    {6498}
6174 = 2*3^2*7^3     {6216,6258}
6176 = 2^5*193       {6562}
6208 = 2^6*97        {6596,7178}
6241 = 79^2          {6399,6478,6557,6715,6794,6952,7031,7189,7268,7426,7663,7979,8137,..}
6250 = 2*5^5         {6260,6270,6280,6290,6310,6320,6330,6340,6350,6360,6380,6390,6400}
6253 = 13^2*37       {8177}
6264 = 2^3*3^3*29    {6438}
6272 = 2^7*7^2       {6286,6300,6314,6328,6342,6356,6370,6384,6398,6412,6426,6454,6482,6496,6524,6538,6566,6608,6622,6664,6692,6706,6748,6776,6818,6832,6874,6958,6986,7028,7042,7112,7126,7154,7168}
6292 = 2^2*11^2*13   {6578}
6304 = 2^5*197       {6698}
6318 = 2*3^5*13      {6396,6474,6552}
6336 = 2^6*3^2*11    {6402,6468,6534}
6348 = 2^2*3*23^2    {6486}
6368 = 2^5*199       {6766}
6400 = 2^8*5^2       {6410,6420,6430,6440,6450,6460,6470,6480,6490,6500,6520,6530,6550,6560,6580,6590,6610,6620,6640,6670,6680,6700,6730,6740,6770,6790,6800,6830,6850,6860,6880,6910,6920,6940,6950,6980,7010,7060,7090,7100,7120,7130,7160,7180,7190,7240,7270,7300,7330,7340,7360,7390,7430,7450,7460,7510,7520,7550,7570,7580,7610,7640,7660,7690,7720,7730,7760,7780,7850,7870,7880,7900,7940,7960,7970,8000}
6413 = 11^2*53       {7579}
6464 = 2^6*101       {6868,7474}
6480 = 2^4*3^4*5     {6510,6540}
6517 = 7^3*19        {6650}
6561 = 3^8           {6564,6567,6570,6573,6576,6579,6582,6585,6588,6591,6594,6597,6600,6603,6606,6609,6612,6615,6618,6621,6624,6627,6633,6636,6639,6642,6645,6648,6651,6654,6657,6660,6663,6666,6672,6675,6678,6681,6684,6687,6690,6693,6696,6699,6702,6705,6711,6714,6717,6723,6726,6729,6732,6735,6738,6741,6744,6750,6753,6756,6759,6771,6774,6777,6783,6789,6792,6795,6801,6804,6807,6813,6816,6819,6822,6828,6831,6834,6837,6843,6849,6852,6855,6858,6861,6867,6873,6876,6879,6885,6891,6894,6906,6912,6915,6921,6927,6933,6939,6945,6951,6957,6963,6969,6975,6987,6993,6999,7005,7017,7023,7029,7041,7047,7053,7065,7071,7077,7083,7089,7101,7107,7113,7119,7131,7143,7149,7167,7173,7179,7185,7197,7203,7209,7227,7233,7251,7257,7263,7269,7275,7281,7299,7305,7311,7317,7323,7335,7341,7347,7359,7365,7377,7383,7389,7401,7407,7419,7431,7437,7443,7461,7479,7485,7491,7503,7509,7515,7521,7533,7545,7551,7557,7563,7575,7587,7593,7599,7611,7617,7629,7635,7641,7647,7653,7659,7671,7677,7689,7701,7713,7725,7731,7737,7767,7773,7779,7785,7797,7803,7815,7821,7827,7845,7851,7857,7863,7869,7881,7887,7893,7899,7911,7929,7935,7941,7947,7953,7971,7977,7983,7989,8013,8019,8025,8031,8049,8055,8061,8067,8079,8097,8103,8115,8121,8133,8139,8145,8157,8163,8175,8181,8187,8193,8199,8205,8223,8241,8247,8259,8271,8289,8301,8331,..}
6591 = 3*13^3        {6630,6669,6747,6903,6981,7059,7137,7293,7449,7527,7605,7683,7761,7839,8229,8307}
6592 = 2^6*103       {6798,7004,7622}
6615 = 3^3*5*7^2     {6720,6825,7035}
6624 = 2^5*3^2*23    {6762}
6625 = 5^3*53        {7155,7685,8215}
6627 = 3*47^2        {6768,6909,7191,7473,8319}
6655 = 5*11^3        {6710,6765,6820,6875}
6656 = 2^9*13        {6682,6708,6734,6760,6812,6838,6864,6968,6994,7046,7072,7124,7202,7228,7306,7358,7384,7436,7592,7618,7696,7748,7852,7982,8086,8138,8164}
6696 = 2^3*3^3*31    {6882}
6724 = 2^2*41^2      {6806,7052,7216,7298,7544,7708,7954}
6727 = 7*31^2        {6944,7161,7595,8029}
6728 = 2^3*29^2      {6786,6844,6902,7018,7076,7192,7250,7366,7424}
6750 = 2*3^3*5^3     {6780,6810,6840,6870,6900}
6752 = 2^5*211       {7174}
6776 = 2^3*7*11^2    {7084}
6784 = 2^7*53        {6890,7102,7208,7526,7738,7844}
6800 = 2^4*5^2*17    {6970}
6804 = 2^2*3^5*7     {6846,6888}
6845 = 5*37^2        {7215,7400,7585,7955,8325}
6848 = 2^6*107       {7276,7918}
6859 = 19^3          {6878,6897,6916,6935,6973,6992,7011,7030,7049,7087,7106,7125,7144,7163,7201,7220,7239,7258,7277,7334,7353,7372,7391,7429,7467,7486,7505,7543,7562,7619,7657,7676,7733,7771,7809,7828,7847,7904,7923,7961,7999,8018,8037,8056,8113,8132,8189,8227,8303,..}
6860 = 2^2*5*7^3     {7000}
6875 = 5^4*11        {6985,7040,7095,7205,7315,7425,7535,7645,7865,7975,8195,8305}
6877 = 13*23^2       {7475,7774,8073}
6889 = 83^2          {7055,7138,7304,7387,7553,7636,7802,7885,8051,..}
6912 = 2^8*3^3       {6918,6924,6930,6936,6942,6948,6954,6960,6966,6972,6978,6984,6990,6996,7002,7008,7014,7020,7026,7032,7044,7050,7056,7062,7068,7074,7086,7092,7104,7110,7116,7122,7128,7146,7152,7158,7164,7170,7176,7188,7200,7206,7212,7218,7236,7248,7254,7272,7278,7284,7296,7302,7314,7332,7338,7356,7362,7368,7374,7386,7398,7404,7416,7422,7428,7452,7464,7488,7494,7506,7512,7536,7542,7554,7572,7578,7584,7596,7608,7614,7632,7662,7668,7674,7692,7698,7704,7716,7734,7746,7758,7764,7776}
6936 = 2^3*3*17^2    {7038,7242,7344}
6962 = 2*59^2        {7080,7198,7316,7552}
6976 = 2^6*109       {7412,8066}
7000 = 2^3*5^3*7     {7070}
7040 = 2^7*5*11      {7150,7370}
7047 = 3^5*29        {7134,7221,7569}
7056 = 2^4*3^2*7^2   {7098,7140}
7072 = 2^5*13*17     {7514}
7125 = 3*5^3*19      {7695}
7128 = 2^3*3^4*11    {7194,7326}
7136 = 2^5*223       {7582}
7168 = 2^10*7        {7182,7196,7210,7238,7252,7280,7294,7322,7336,7364,7378,7406,7420,7448,7462,7490,7504,7532,7546,7574,7588,7616,7630,7658,7672,7742,7756,7784,7798,7840,7868,7882,7924,7952,7966,7994,8036,8078,8134,8176}
7200 = 2^5*3^2*5^2   {7230,7260,7290}
7203 = 3*7^4         {7224,7245,7266,7287,7308,7329,7371,7392,7413,7434,7455,7497,7518,7539,7581,7602,7623,7665,7707,7749,7791,7833,7875,7959,8001,8043,8127,8169,8253,8337}
7209 = 3^4*89        {7476}
7220 = 2^2*5*19^2    {7600}
7225 = 5^2*17^2      {7310,7395,7480,7565,7735,8075,8245}
7232 = 2^6*113       {7458,7684}
7264 = 2^5*227       {7718}
7290 = 2*3^6*5       {7320,7350,7380,7440,7470,7500}
7296 = 2^7*3*19      {7410,7524,7638}
7328 = 2^5*229       {7786}
7344 = 2^4*3^3*17    {7446,7548,7752}
7360 = 2^6*5*23      {7820}
7375 = 5^3*59        {7965}
7396 = 2^2*43^2      {7568,7654,7826,7912,8084}
7424 = 2^8*29        {7482,7540,7598,7772,7888,7946,8062}
7425 = 3^3*5^2*11    {7755}
7442 = 2*61^2        {7564,7686,7808}
7448 = 2^3*7^2*19    {7714}
7452 = 2^2*3^4*23    {7728}
7456 = 2^5*233       {7922}
7488 = 2^6*3^2*13    {7566,7644,7722}
7500 = 2^2*3*5^4     {7530,7560,7590,7620,7650,7680}
7520 = 2^5*5*47      {7990}
7533 = 3^5*31        {7626,7719}
7546 = 2*7^3*11      {7700}
7552 = 2^7*59        {7670,7906,8024}
7569 = 3^2*29^2      {7656,7743,7917,8091}
7600 = 2^4*5^2*19    {7790}
7605 = 3^2*5*13^2    {7995}
7616 = 2^6*7*17      {8092}
7625 = 5^3*61        {8235}
7648 = 2^5*239       {8126}
7680 = 2^9*3*5       {7710,7740,7770}
7688 = 2^3*31^2      {7750,7874,7936}
7695 = 3^4*5*19      {8265}
7744 = 2^6*11^2      {7766,7810,7832,7876,7898,7942,7964,8008,8074,8096,8162}
7776 = 2^5*3^5       {7782,7788,7794,7800,7806,7812,7818,7824,7830,7836,7842,7848,7860,7866,7872,7878,7884,7890,7896,7902,7908,7914,7920,7926,7932,7938,7944,7950,7962,7968,7974,7986,7992,8004,8016,8028,8034,8046,8076,8082,8088,8094,8112,8124,8136,8142,8154,8166,8172,8178}
7803 = 3^3*17^2      {7854,7905,7956,8007,8058,8109,8313}
7808 = 2^7*61        {7930,8174}
7840 = 2^5*5*7^2     {7910}
7875 = 3^2*5^3*7     {8295}
7889 = 7^3*23        {8211}
7921 = 89^2          {8099,8188,8277,..}
7936 = 2^8*31        {7998,8122}
7938 = 2*3^4*7^2     {7980,8022,8064}
8000 = 2^6*5^3       {8010,8020,8030,8040,8050,8060,8070,8080,8090,8100,8110,8120,8140,8150,8170,8180}
8019 = 3^6*11        {8052,8085,8118,8151,8184,8217,8283}
8064 = 2^7*3^2*7     {8106,8148}
8100 = 2^2*3^4*5^2   {8130,8160}
8125 = 5^4*13        {8190,8255}
8192 = 2^13          {8194,8196,8198,8200,8202,8204,8206,8208,8210,8212,8214,8216,8218,8220,8222,8224,8226,8228,8230,8232,8234,8236,8238,8240,8242,8244,8246,8248,8250,8252,8254,8256,8258,8260,8262,8264,8266,8268,8270,8272,8276,8278,8280,8282,8284,8286,8288,8290,8292,8294,8296,8298,8300,8302,8304,8306,8308,8310,8312,8314,8318,8320,8324,8326,8328,8330,8332,8334,8336,8338,..}
8208 = 2^4*3^3*19    {8322}
8232 = 2^3*3*7^3     {8274,8316}

When k/(b-1) is p^e, the largest base is p^(e+1). Of the rest, might there be an easy test to decide which families are not yet full?