# This file lists numbers having the same values for both sigma_0(n) = tau(n) = d(n) and for sigma(n). # All such numbers have sigma(n) <= 10000 are listed. # Each line contains the value for sigma_0, the value for sigma, and the numbers n with those values. # Entries are sorted first by sigma(n), then by sigma_0(n). # This file was generated by the following PARI program (dropping the leading "#"s). # #numdivprint(v,key)={ # local(nv,nd,pr); # nv=numdiv(v); # while((nd=vecmin(nv))<999999, # pr=0; # for(i=1,#v, # if(nv[i]==nd, # if(pr==0,pr=v[i], # if(pr<999999,print1(nd" "key": "pr);pr=999999); # print1(","v[i])); # nv[i]=999999)); # if(pr==999999,print()));} #sigmainvlist(n,k=1)={ # local(v,s); # v=vector(n,i,[]); # for(i=1,floor(n^(1/k)), # s=sigma(i,k); # if(s<=n,v[s]=concat(v[s],[i]))); # v} #v=sigmainvlist(10000);for(i=1,#v,if(#v[i]>1,numdivprint(v[i],i))) # 4 24: 14,15 4 48: 33,35 4 72: 46,51,55 4 96: 62,69,77 4 120: 87,95 8 120: 54,56 4 144: 94,115,119 8 144: 66,70 4 168: 123,143 4 180: 118,145 4 192: 141,155,161 4 216: 142,159,187 8 216: 102,110 4 240: 158,177,203,209 8 240: 114,135 4 252: 166,205,221 4 288: 213,235,253 8 288: 138,154,165 4 324: 214,265 4 336: 249,287,299 8 336: 182,195 12 336: 132,140 4 360: 267,295,319,323 8 360: 174,184,190 4 384: 254,329,341 8 384: 186,231 4 408: 303,335 4 420: 278,377 4 432: 321,355,371,391 8 432: 230,238,255 6 434: 244,325 4 456: 302,339,407 4 480: 395,413,437 8 480: 248,266,285,297 4 504: 334,415,451 8 504: 246,286 12 504: 204,220,224 4 528: 393,473 4 540: 358,445,493 4 576: 382,497,517,527 8 576: 282,310,322,345,357,385 4 588: 485,533 4 600: 398,447,551 4 640: 553,589 4 648: 535,583 8 648: 318,374 4 672: 446,501,581,611 8 672: 429,455 12 672: 276,308 4 684: 454,565,629 4 720: 478,537,623,649,667 8 720: 354,376,406,418,435,459 16 720: 264,270,280 4 756: 502,689,697 8 756: 410,442 12 756: 340,352 4 768: 573,635,713 8 768: 434,465,483 4 792: 526,591,655,731 6 798: 452,605,637 4 816: 542,707,737 4 840: 695,767,779 12 840: 348,380 4 864: 749,781,799 8 864: 426,470,506,561,595 4 880: 763,817 4 912: 681,755,791,851 8 912: 518,555 4 936: 622,699 12 936: 414,495 4 960: 717,869,893,899 8 960: 474,609,621,627,665 4 1008: 753,835,913,923,943 8 1008: 498,574,598,615,663,715 12 1008: 460,476 4 1044: 694,865 4 1056: 789,917,989 8 1056: 602,645 6 1064: 604,847 4 1080: 718,807,895,979,1003,1007 8 1080: 534,568,590,638,646 16 1080: 408,440 12 1092: 486,500,585 4 1104: 734,959 4 1120: 973,1027 4 1140: 758,1073 4 1152: 766,955,1081 8 1152: 658,682,705,759,805 4 1176: 879,1067,1079 12 1176: 492,572 4 1200: 995,1043,1121 8 1200: 632,686,783 4 1216: 1057,1147 4 1224: 1111,1139 8 1224: 606,670 4 1248: 933,1133 8 1248: 618,875 12 1248: 558,693 4 1260: 838,1157,1189 8 1260: 664,754 12 1260: 580,608 4 1272: 951,1055 6 1274: 724,873 4 1296: 862,1177,1207,1219 8 1296: 642,710,742,782,795,935 4 1320: 878,1199,1247 4 1332: 886,1241 4 1344: 1115,1169,1271 8 1344: 806,861,897,1001 12 1344: 564,620,644 4 1368: 1135,1243 8 1368: 678,814 4 1392: 926,1041,1211 4 1404: 934,1165 4 1440: 958,1077,1195,1253,1343,1349,1357,1363 8 1440: 790,826,874,885,957,969,1015,1045 16 1440: 552,570,594,616 4 1456: 1267,1339 4 1464: 974,1331 8 1488: 854,915 20 1488: 528,560 4 1512: 1006,1255,1391,1411 8 1512: 830,902,1105 12 1512: 636,736,748 4 1536: 1149,1337,1397,1457 8 1536: 762,987,1023,1085 4 1584: 1315,1379,1441 8 1584: 786,946 4 1596: 1469,1517 12 1596: 726,740 4 1600: 1393,1501 4 1620: 1345,1513,1537 8 1620: 856,890,986 4 1632: 1355,1541 8 1632: 938,1005 4 1680: 1257,1529,1577 8 1680: 834,1107,1131,1235 12 1680: 708,812,836 16 1680: 702,728 4 1692: 1126,1405 4 1728: 1293,1633,1643 8 1728: 994,1034,1054,1065,1113,1173,1265,1309 16 1728: 690,714,770 12 1736: 732,975 4 1764: 1174,1465,1649 8 1764: 970,1066 12 1764: 820,884 4 1776: 1329,1679 8 1776: 1022,1095 4 1792: 1561,1651 4 1800: 1198,1347,1639,1691,1711 8 1800: 894,1102 16 1800: 696,760 4 1824: 1214,1589,1661,1739 8 1824: 906,1221,1295 4 1848: 1383,1535,1703,1763 4 1860: 1238,1769 4 1872: 1401,1555,1631,1751 8 1872: 1030,1375 12 1872: 846,1035,1071 4 1896: 1262,1727 4 1920: 1437,1673,1817,1829 8 1920: 1016,1106,1178,1185,1239,1269,1311,1463 16 1920: 744,798,945 4 1932: 1286,1781 4 1944: 1294,1819 8 1944: 1070,1166 4 1960: 1807,1843 4 1968: 1473,1793 4 1980: 1318,1853 8 1980: 1048,1090 4 2016: 1509,1757,1837,1909,1927 8 2016: 1002,1162,1222,1245,1353,1435,1495,1547 12 2016: 852,940,992,1012 16 2016: 858,910 24 2016: 660,672 4 2040: 1527,1919,1943 4 2052: 1366,1921,1961 8 2052: 1130,1258 4 2088: 1563,1735,1903 4 2100: 1745,1937 4 2112: 1841,2021 8 2112: 1419,1505 4 2160: 1438,1795,1883,1969,2033,2047,2059 8 2160: 1074,1246,1298,1334,1335,1431,1479,1595,1615 16 2160: 870,918,920,952 4 2176: 1897,2077 4 2184: 1454,1991 6 2184: 1244,1503 8 2184: 1086,1625 12 2184: 1215,1287 4 2220: 1478,2117 4 2232: 1486,1671 12 2232: 1150,1275 20 2232: 816,880 4 2256: 1502,1689,1967 8 2268: 1378,1394 4 2280: 1707,1895,2147,2183 8 2280: 1208,1406 4 2304: 1915,2101,2159,2201 8 2304: 1146,1270,1426,1491,1551,1581,1645,1705,1771 16 2304: 930,966,1155 12 2340: 1062,1305 4 2352: 1761,2051,2171,2231 8 2352: 1358,1455,1599 12 2352: 996,1148,1196 6 2366: 1348,1629 4 2376: 1779,2167,2227,2279 8 2376: 1182,1310,1462 6 2394: 2009,2057 12 2394: 1184,1210,1274 4 2400: 1797,2189,2291 8 2400: 1194,1593,1653,1715 16 2400: 1026,1064 4 2436: 1622,2249 8 2448: 1414,1474,1515 4 2472: 1646,1851 4 2484: 1654,2329 4 2496: 2177,2369 8 2496: 1442,1545 12 2496: 1395,1449 4 2520: 1678,2095,2327,2363,2407,2419 8 2520: 1336,1390,1534,1558,1885 12 2520: 1068,1180,1276,1292 16 2520: 984,1144 4 2544: 2219,2321 4 2560: 2413,2449 8 2560: 1659,1767 4 2592: 1726,1941,2155,2461,2491 8 2592: 1498,1562,1598,1605,1749,1855,1955 16 2592: 1122,1190 4 2604: 2165,2501 4 2640: 1977,2195,2489,2507,2537 8 2640: 1526,1634,1635 6 2660: 1516,2299 4 2664: 1774,2215 4 2688: 2453,2483,2573 8 2688: 1338,1743,1833,2015,2093 12 2688: 1316,1364 4 2700: 2245,2533,2581 8 2700: 1432,1490 4 2736: 1822,2049,2497,2567,2599,2627 8 2736: 1362,1510,1582,1695,1702,1887,2035 4 2760: 1838,2519,2603 4 2772: 2305,2561 4 2784: 2315,2429 4 2800: 2443,2587,2641 4 2808: 2103,2335,2563 8 2808: 1398,2125 12 2808: 1278,1683 4 2844: 1894,2669 12 2856: 1212,1340 4 2880: 2157,2395,2513,2629,2759,2773 8 2880: 1434,1528,1738,1786,1798,1869,1917,1947,2001,2065,2185,2233,2261 16 2880: 1128,1218,1240,1242,1254,1288,1330,1485 4 2904: 1934,2651 12 2912: 1236,1701 4 2952: 1966,2455,2771 4 2976: 1982,2229,2867 8 2976: 2013,2135 12 2976: 1550,1725,1925 20 2976: 1104,1232 4 2992: 2611,2881 4 3000: 2495,2831 4 3024: 2515,2761,2839,2911 8 3024: 1506,1670,1826,1846,1886,2067,2091,2255,2431 12 3024: 1284,1420,1484,1504,1564 16 3024: 1230,1326,1430 24 3024: 1020,1056,1120 6 3038: 1732,2425 4 3040: 2653,2869,2923 4 3060: 2038,2545,2929 4 3072: 2681,2921 8 3072: 1778,1905,2139,2387 4 3096: 2062,2319,2827 4 3120: 2078,2723,2987 12 3120: 1422,1827,1881 4 3132: 2605,2941 4 3136: 2899,3007 4 3168: 2893,3013,3053 8 3168: 1578,1834,1965,1978,2193,2365 4 3192: 2126,2391,2951,3071 12 3192: 1356,1628,1694,1815,1911 4 3240: 2427,2959,3043,3103,3127 8 3240: 1614,1790,1958,2006,2014,2465 16 3240: 1272,1496 4 3264: 2174,2981,3131,3149 8 3264: 1626,2121,2211,2345 4 3276: 2182,3029,3077 6 3276: 1868,2259 12 3276: 1494,1845,1989 4 3280: 2863,3097 4 3288: 2463,2735 4 3312: 2206,2481,3151 8 3312: 1918,2055 4 3348: 2785,3233 4 3360: 2517,2933,3107,3173,3197,3239 8 3360: 1784,1946,2054,2085,2241,2301,2337,2639,2717 12 3360: 1580,1652,1748 16 3360: 1482,1755 24 3360: 1140,1188 4 3384: 2815,3091 4 3420: 2845,3277,3293 8 3420: 1816,2146 4 3432: 2571,2855 4 3456: 2302,2589,3017,3247,3317,3337 8 3456: 1910,2162,2247,2343,2397,2485,2585,2635,2737 16 3456: 1410,1518,1610,1785 12 3472: 1708,2275 4 3492: 2326,3281 4 3520: 3073,3379,3397 8 3520: 2289,2451 4 3528: 2643,2935,3223,3263,3403 8 3528: 1758,2134,2158,2665 12 3528: 1660,1804 6 3534: 2825,2989 4 3552: 2661,3101,3431 8 3552: 2409,2555 4 3564: 2374,2965,3349 4 3600: 2995,3143,3383,3401,3427 8 3600: 1912,1990,2086,2235,2242,2403,2755 16 3600: 1416,1566,1624,1672 4 3612: 3005,3341 4 3648: 2733,3035,3473,3503 8 3648: 2114,2265,2294,2373,2553,2849 4 3672: 2446,3551 8 3672: 2222,2278 4 3696: 2462,3227,3377,3419,3569 8 3696: 1842,2795 12 3696: 1572,1892 4 3720: 2787,3095,3599 20 3720: 1392,1520 24 3720: 1350,1400 4 3744: 3269,3421 8 3744: 1866,2266,2875 12 3744: 2115,2277 4 3768: 2823,3443 4 3780: 2518,3497,3649 8 3780: 2008,2314,2378 12 3780: 1780,1888,1972 16 3780: 1640,1768 4 3792: 2841,3155,3611 8 3792: 2198,2355 4 3816: 2859,3487,3587 8 3816: 1902,2110 4 3840: 2558,3353,3629,3683,3713 8 3840: 2607,2679,2697,2765,2945,3059 16 3840: 1674,1736,1995,2079 4 3852: 2566,3205 4 3876: 2582,3737 4 3888: 2913,3235,3763 8 3888: 2354,2414,2438,2703,2915 16 3888: 1590,1870 6 3906: 2228,3125 12 3906: 1952,2050 4 3912: 2606,2931 4 3924: 2614,3265 4 3936: 2949,3437,3749 8 3936: 2282,2445 4 3960: 2638,3295,3743,3799,3827 8 3960: 2104,2398,2494 4 3984: 2654,3641 6 3990: 2276,3509 4 4000: 3493,3781 6 4004: 2284,2763 4 4032: 3521,3791,3841,3901 8 4032: 2230,2338,2505,2542,2739,2769,2829,2905,3055,3157,3289 12 4032: 1988,2068,2108 16 4032: 1722,1794,2002,2145 24 4032: 1380,1428,1540 4 4056: 3039,3707 4 4080: 3057,3563,3953 8 4080: 2168,2546,2727 4 4104: 2734,3415,3859,3959 8 4104: 2270,2486,3145 12 4104: 2254,2499,2695 4 4116: 3809,3977 12 4116: 1940,2132 4 4140: 3893,3973 4 4176: 3647,3817,3979 8 4176: 2082,2422,2595 4 4200: 2798,3147,3839,4031 12 4200: 1788,2204 4 4212: 3505,3961 12 4212: 1926,2385 8 4224: 2666,2751,2967,3311 4 4248: 3183,3883 6 4256: 2428,3751 12 4256: 1812,2541 4 4284: 2854,4141 12 4284: 2020,2144 6 4298: 2452,3757 4 4312: 3991,4171 4 4320: 2878,3595,3949,4063,4117,4183,4187,4189 8 4320: 2154,2390,2506,2685,2686,2698,2714,2726,2889,2937,3009,3021,3115,3245,3335,3451,3553 16 4320: 1704,1770,1880,1914,1938,2024,2030,2090,2295 6 4340: 2476,3475 4 4356: 2902,4097 4 4368: 3273,3635,4043,4163,4223 8 4368: 2534,2678,2715 12 4368: 2060,2583,2673,2691 24 4368: 1500,1638 12 4392: 2366,2535 4 4416: 2942,3309,4037,4247 8 4416: 2202,2877 6 4424: 2524,3703 4 4440: 3327,3695,4307 4 4452: 2966,4121 4 4464: 2974,3715,3899,4331 8 4464: 2806,3111,3355 12 4464: 2350,2975 20 4464: 1840,1904 4 4480: 4237,4309 8 4480: 2919,3081 12 4480: 2212,2356 4 4488: 4103,4343 4 4500: 2998,4321 4 4512: 3755,3941 4 4536: 3022,4267,4387,4399 8 4536: 2510,2782,2822,3445,3485 12 4536: 2140,2272,2332 24 4536: 1632,1760 4 4560: 3983,4169,4313,4379 8 4560: 2274,3051,3219,3515 16 4560: 1998,2072 4 4572: 3046,3805 4 4576: 3997,4429 4 4608: 3453,4213,4393 8 4608: 2298,2674,2794,2865,2914,3243,3565,3619,3689 16 4608: 1974,2046,2170,2415 4 4620: 3845,4469 8 4620: 2456,2834 4 4644: 3865,4369 4 4656: 3489,4439 8 4656: 2702,2895 4 4680: 3118,4279,4427 8 4680: 2334,2488,3625 12 4680: 2655,2871,2907 24 4680: 1656,1710 4 4704: 3134,4109,4559 8 4704: 3201,3237,3395,3731 12 4704: 2004,2324,2444 24 4704: 1716,1820 4 4728: 3543,3935 4 4740: 3158,4553 4 4752: 3166,3561,4151,4471,4531,4601 8 4752: 2630,2758,2882,2955,3655 4 4776: 3579,4367 4 4788: 3985,4633 6 4788: 2732,4067 8 4788: 2938,3034 12 4788: 2260,2516,3185 4 4800: 4193,4541,4577,4619,4661 8 4800: 2786,2985,3002,3129,3363,3773,3857 16 4800: 1896,2058,2565 4 4824: 3214,4411 4 4840: 4579,4687 4 4860: 3238,4045,4573,4717 8 4860: 2690,3026,3074 4 4864: 4249,4681,4699 8 4864: 3171,3441 4 4872: 3651,4055,4511 4 4896: 3669,4607,4747,4757 8 4896: 2710,3082,3333,3417,3535,3685 4 4920: 3687,4499,4727 4 4944: 4115,4319 4 4960: 4333,4819 4 4992: 3326,4841 8 4992: 3399,3605,3875 12 4992: 2286,2961,3069 4 5004: 3334,4709 4 5016: 4847,4859 4 5040: 3777,4195,4609,4667,4769,4843,4897 8 5040: 2514,3058,3154,3471,3567,3835,3895,4147,4199 12 5040: 2148,2492,2528,2596,2668 16 5040: 1992,2214,2262,2296,2392,2470 24 5040: 1740,1824,1836 4 5056: 4417,4867 8 5088: 2954,3165 12 5096: 2172,3159 4 5112: 3831,4811 8 5120: 3429,4123 4 5136: 3849,4487 4 5152: 4501,4771 4 5160: 3867,4295,4883 4 5184: 4315,4529,4741,5029 8 5184: 2586,3266,3286,3531,3621,3657,3745,3905,3995,4081,4301 16 5184: 2130,2226,2346,2530,2618,2805 4 5208: 3903,4763,5063 6 5208: 2972,4175 8 5208: 2598,3965 12 5208: 2684,3075,3575 20 5208: 1968,2288 4 5220: 4913,5017 6 5226: 3609,4205 4 5232: 3921,4571 4 5244: 3494,5069 4 5280: 3518,3957,4613,4829,4997,5123 8 5280: 2634,3537,3597,3741,3815,4085 16 5280: 2322,2408 4 5292: 4405,4981,5141 8 5292: 2930,3298 12 5292: 2656,2756,2788 4 5320: 4927,5143 12 5320: 2812,3267 4 5328: 4435,4873,5183 8 5328: 2658,3358,3723,4015 6 5334: 3044,4693 4 5376: 4979,5129,5177,5207 8 5376: 3122,3302,3345,3507,3813,4277,4433 12 5376: 2292,2540,2852 16 5376: 2418,3003 24 5376: 1860,1932 4 5400: 4939,5111,5191,5251 8 5400: 2694,2872,3278,3382,3422 16 5400: 2136,2360,2552,2584 4 5440: 5149,5293 4 5448: 4083,4535 4 5460: 5057,5249 12 5460: 2502,3393 4 5472: 3646,4101,4555,4781,5221,5311 8 5472: 3178,3322,3405,3478,3729,3955,4255,4403 12 5472: 3038,3381 16 5472: 2442,2590 4 5496: 3662,4119,5027 4 5520: 4595,5267 8 5520: 2936,3206,3435,3699 4 5544: 3694,5071,5219,5371 8 5544: 2766,3070,3406,3526 12 5544: 2364,2620,2924 4 5568: 5093,5363 8 5568: 2778,3633 4 5580: 4645,5429 6 5586: 3188,4753,4961 18 5586: 2420,2548 8 5600: 3753,4459 4 5616: 3742,4907,5137,5287,5359,5459 8 5616: 2802,3110,3262,3495,3502 12 5616: 3195,3339,3519 24 5616: 2070,2142 4 5628: 4685,5213 4 5640: 3758,4227,5339 6 5642: 3897,4525 18 5642: 2196,2925 4 5652: 4705,5321 4 5680: 4963,5377 4 5712: 4281,5561 8 5712: 3939,4355 12 5712: 2828,2948 4 5724: 3814,4765,5389 4 5760: 4317,5033,5269,5497,5539,5549,5609 8 5760: 2874,3064,3346,3585,3634,3658,3759,4029,4047,4071,4089,4345,4465,4495,4543,4669,4807 16 5760: 2370,2478,2538,2622,2632,2728,2926,3045,3105,3135,3213 32 5760: 1848,1890 4 5796: 3862,5617 4 5808: 4353,4835,5543,5633 8 5808: 3374,3615 4 5824: 5089,5611 8 5824: 3801,4017 12 5824: 2884,3627 4 5832: 4855,5671 8 5832: 3638,4505 4 5856: 3902,5357 8 5856: 2922,3993 4 5880: 5447,5567,5699,5723 8 5880: 3614,3686 12 5880: 2780,3068,3116 4 5904: 4915,5401 8 5904: 2946,3586 4 5920: 5173,5767 12 5928: 2718,3663 4 5940: 3958,5713,5777 4 5952: 4461,4955,5201 8 5952: 3782,4209,4697 12 5952: 3525,4025 20 5952: 2256,2480,2576 4 5976: 4479,5627 4 6000: 3998,4497,5489,5771 8 6000: 2994,4023 6 6006: 3428,4149 4 6048: 4533,5533,5603,5773,5893 8 6048: 3018,3514,3674,3765,3818,3854,4173,4233,4565,4615,4715,4823,4879,5083 12 6048: 2996,3124,3196 16 6048: 2490,2706,2870,2990,3094,3315 24 6048: 2208,2244,2380,2464 4 6076: 5629,5917 8 6080: 4077,4921 4 6084: 4054,5065,5729 4 6096: 4569,5327 28 6096: 2112,2240 4 6120: 4078,5095,5599,5959,5963 8 6120: 3054,3838,3886 16 6120: 2424,2680,2944 4 6144: 5921,5969 8 6144: 4011,4191,4371,4445,4991 8 6156: 3842,3922 4 6160: 5383,5707,5833,5977 12 6160: 3052,3268 4 6192: 4126,5155,5411,5911 8 6192: 3598,3855 4 6216: 4659,5759,6059 4 6240: 4677,5195,5909,6077 12 6240: 3555,3717,3933 16 6240: 2472,3375 24 6240: 2232,2394 4 6264: 4174,5731,5899 8 6264: 3126,3470,3806 4 6288: 4713,5753 4 6300: 4198,5245,5837,5933,6109 8 6300: 3352,3490,3874 4 6336: 4222,4749,6049,6107,6157 8 6336: 3682,3945,4042,4137,4323,4585,4945,5117 16 6336: 2838,3010 4 6360: 6023,6119 4 6372: 5305,6001 4 6384: 5315,5579,6179,6191 6 6384: 3644,5687 8 6384: 3926,4407,4551,5291 12 6384: 2724,3020,3164,3404,4235 8 6400: 4179,4503 4 6432: 4286,4821 4 6480: 4857,5663,6103,6187,6313,6319 8 6480: 3448,3590,3766,3938,4035,4066,4094,4118,4539,4611,4895,5015,5035,5423 16 6480: 2568,2670,2840,2862,2958,2968,3128,3190,3230 4 6496: 5677,6019 4 6528: 5435,6233 8 6528: 3794,4065,4154,4623,5159 4 6552: 4911,5455,6071 8 6552: 3982,5125 12 6552: 2796,3006,3296,3735,4059,4131 24 6552: 2430,2574 36 6552: 1980,2016 4 6576: 5747,6017 4 6600: 6407,6431 8 6600: 3512,4142 4 6612: 4406,6401 4 6624: 4414,5515,5789,6239,6439 8 6624: 3670,4521,4795 6 6636: 3788,5819 12 6636: 3140,3174 4 6640: 5803,6289 4 6660: 5545,6497 8 6660: 3544,4234 4 6672: 5001,6371 8 6672: 3878,4155 4 6696: 6127,6527 8 6696: 3342,5185 12 6696: 3550,3975,4675 20 6696: 2544,2992 4 6720: 4478,5873,6227,6467,6533,6557 8 6720: 4509,4587,4731,4865,5135,5369,5453,5681 12 6720: 2868,3476,3572,3596 16 6720: 3224,3458,3705,3861 24 6720: 2436,2484,2508,2660 4 6732: 4486,6341 4 6768: 6193,6463 8 6768: 3378,3934,4215 12 6804: 3424,3604 8 6816: 3962,4245 4 6832: 5971,6331 4 6840: 5127,6259,6443,6583,6623,6667 8 6840: 3414,3790,4294,4366,5365 12 6840: 4263,4655 16 6840: 2712,3256 4 6864: 4574,5999,6281 8 6864: 3426,5375 4 6888: 5163,6383,6683 4 6912: 5755,6041,6511,6731 8 6912: 3830,4202,4318,4402,4899,4929,5405,5467,5593,5797 16 6912: 2982,3102,3162,3290,3410,3542,3795,3927 4 6936: 4622,5199,6347,6767 6 6944: 3964,5575 8 6960: 3704,4671 4 7000: 6487,6631 4 7020: 4678,6613,6757 8 7020: 3736,3890 12 7020: 3222,4005,4437 4 7056: 4702,6167,6457,6539,6739,6847,6887 8 7056: 3522,4102,4342,4395,4462,4947,5335,5395,5863 12 7056: 3012,3340,3652,3692,3772 16 7056: 2910,3198 24 7056: 2460,2652,2860,2912 4 7072: 6181,6901 8 7104: 4526,5037,5621 4 7128: 5935,6523,6943 8 7128: 3558,4334,4454,4558 4 7152: 4766,5361 4 7164: 5965,6749 8 7168: 4683,4953 12 7182: 3616,4018,4114 4 7200: 4798,6589,6821,6931,7003,7031 8 7200: 3594,3832,4378,4582,4833,4917,5073,5133,5215,5605,5831,6061 16 7200: 3160,3186,3304,3306,3430,3496,3915 32 7200: 2280,2376 4 7236: 4822,6817 6 7254: 5013,5825 4 7296: 5469,6377,6677,7037,7067,7097 8 7296: 3642,4767,4983,5217,5285,5735,5957 4 7308: 6085,6773,7093 4 7344: 4894,6115,7169,7171 8 7344: 4646,5151,5555,5695 4 7360: 6433,6973,7099 12 7368: 4046,4335 4 7380: 4918,6145,6953 8 7380: 3928,4090 4 7392: 5541,6155,7061,7181 8 7392: 4298,4605,5109,5289,6149 12 7392: 3156,3668,3956 4 7440: 6503,6809 8 7440: 3714,5307,5795 12 7440: 3950,4425,5075,5225 16 7440: 3294,3416 20 7440: 2832,3248,3344 4 7480: 7087,7303 4 7488: 5613,7153,7223,7313 8 7488: 4354,4665,4738,4893,5253,5665,5875 12 7488: 3438,4473,4653,4743 16 7488: 3090,4125 24 7488: 2790,2898,3465 10 7502: 3856,4941 4 7512: 5006,5631 4 7536: 6587,7199 8 7536: 4382,4695 4 7560: 5667,6295,7123,7279,7339,7367,7387 8 7560: 4024,4190,4654,4726,4814,4838,5785,5945,6409 12 7560: 3228,3580,3916,4012,4028 16 7560: 3320,3608,3770 24 7560: 2784,3040 4 7584: 6629,6941,7379 8 7584: 3786,5181,5495 4 7596: 5062,7157 4 7600: 7201,7363 4 7632: 5086,5721,6671,7291 8 7632: 4438,4642,4755 6 7644: 4364,5283 12 7644: 3620,4365,4797 4 7656: 5102,5739,7439 4 7680: 6395,7277,7409,7493 8 7680: 4826,4898,5019,5157,5451,5487,6083,6251,6293,6479 16 7680: 3048,3318,3534,4185,4347,4389 6 7686: 4388,6929 4 7704: 6415,7051 4 7728: 5793,7073 8 7728: 3858,5343 4 7740: 5158,6445,7453 4 7744: 6769,7471 4 7752: 6455,7571 4 7776: 5182,6797,7117,7327,7597 8 7776: 3882,4310,4922,4982,5457,5885,6035,6095,6307 16 7776: 3210,3498,3710,3910 4 7800: 5847,7391 12 7800: 3582,4959 4 7812: 6505,7241,7361 8 7812: 4330,5002 12 7812: 4148,4150,5525 20 7812: 3280,3536 4 7824: 6515,6839 6 7826: 4468,5409 8 7840: 5421,5529 12 7840: 3892,4108 4 7848: 6535,7183 4 7872: 6881,7661 8 7872: 5379,5705 4 7896: 5919,7319 4 7920: 5937,6595,7249,7463,7627,7697,7729,7739 8 7920: 3954,4390,4978,5014,5074,5319,5559,5995,6235 16 7920: 3144,3270,3784 4 7936: 6937,7747 4 7944: 5294,7271 4 7968: 6635,7613 8 7968: 4634,4965 4 7980: 5318,7397 6 7980: 6811,7139 12 7980: 4292,4598 4 7992: 5326,5991,7531,7811 8 7992: 4430,6205 8 8000: 5373,6517 4 8008: 7423,7783 4 8016: 5342,6009 4 8064: 5374,7781,7831,7849 8 8064: 4906,4966,5146,5271,5511,5727,5781,5845,6355,6391,6461,6601,6721,6851 12 8064: 3820,4064,4324 16 8064: 3486,3666,4030,4186,4305,4485,4641,5005 24 8064: 2820,2976,3036,3220 4 8100: 5398,7633,7801,7897 8 8100: 4490,5066,5162 16 8100: 3560,3944 4 8112: 6081,7091,7751 8 8112: 4718,5055 4 8136: 5422,7447 4 8160: 5438,6117,7133,7859,7979 8 8160: 5757,5829,6365 16 8160: 3618,3752,3968 20 8184: 3440,3584 4 8208: 6835,7513,8003,8023 8 8208: 4098,4994,5134,5198,5254,5763,5883,6215,6919 12 8208: 4606,5635 16 8208: 3390,3774,4070 4 8232: 7631,8051 12 8232: 3516,4268,4316 4 8244: 6865,7769 4 8256: 6189,7217,7967 4 8280: 6207,8083 8 8280: 5038,5206 4 8304: 5534,7601 4 8316: 7709,7837,8077 8 8316: 4610,5122 12 8316: 3940,4192 4 8320: 7273,8137 12 8320: 4977,5301 4 8352: 6261,7871,7981,8131 8 8352: 4630,4858,5205,5709,6055 4 8400: 6297,6995,7343,7787,7961,8027,8159,8201 8 8400: 4886,5174,5235,5282,5811,7163 12 8400: 3980,4172,4484 4 8424: 7711,7939 8 8424: 4206,4670,5126,6625 12 8424: 4815,5247 4 8448: 6333,8153,8213 8 8448: 5523,6063,6665,6923 4 8460: 5638,7045,8149 4 8496: 7427,8119 8 8496: 4942,5295 4 8512: 7441,7891,8251 12 8512: 4228,4588 4 8520: 6387,7799,8207 4 8532: 5686,8321 4 8556: 5702,8357 4 8568: 6423,7135,8383 8 8568: 5494,6565 12 8568: 4444,4556 4 8640: 5758,7195,7909,8143,8189,8257,8339,8413,8453 8 8640: 4314,4790,5026,5258,5385,5518,5546,5649,5907,6099,6141,6177,6265,6715,6745,6785,6815,6853,7021,7049,7337,7429 16 8640: 3738,3834,3894,3976,4002,4130,4136,4216,4370,4466,4522,4785,4845,5049 32 8640: 2760,2856,2970,3080 4 8664: 5774,8399 4 8680: 8047,8227,8479 12 8680: 4636,6175 4 8704: 7609,8401,8509 8 8704: 5691,6231 4 8712: 5806,7255,8471 20 8712: 3726,4455 4 8736: 7637,7997,8507,8549 8 8736: 4362,5973,6335,6695 12 8736: 3732,4014,4532,5229,5499,5589 24 8736: 3402,3500,4095 4 8784: 5854,7679,8279 8 8784: 4870,6655 12 8784: 5577,5915 4 8800: 8341,8557,8611 4 8820: 5878,8497,8633 8 8820: 4696,5626 12 8820: 4448,4628,4756 16 8820: 3880,4264 4 8832: 6621,7355,7721,8441 8 8832: 5138,5505 4 8856: 6639,8347,8639 8 8856: 4910,5542 4 8880: 7763,8129,8417 8 8880: 4434,6351,6935 16 8880: 3942,4088 4 8892: 5926,7405,8621 12 8892: 4086,5085,5661,6125 4 8904: 7415,8651 12 8904: 3804,4220 4 8928: 7435,8173 8 8928: 4458,5734,7015,7259 12 8928: 5325,6325 16 8928: 4026,4270 20 8928: 3408,3760,4048 24 8928: 3450,3850 8 8960: 6021,7189,7657 4 8976: 6729,8579,8777 8 8976: 5222,5595,5762 4 9000: 5998,7495,8483,8531,8791 8 9000: 4792,4990,5662 16 9000: 3576,4408 4 9024: 8261,8711 8 9024: 4506,5901 6 9044: 5164,8107 4 9072: 6046,6801,7555,8411,8551,8851,8881 8 9072: 5030,5522,5678,5822,6519,6955,7055,7579,7667 12 9072: 4708,4828,4876 16 9072: 4134,4182,4510,4862 24 9072: 3180,3680,3740,3808 4 9096: 6819,8327 6 9114: 5204,7325 4 9120: 8717,8843,8909,8927 8 9120: 4856,5306,5685,5738,5846,6129,6441,6549,7511,7733 16 9120: 3624,4218,4995 4 9144: 7615,8371 12 9144: 5054,5415 28 9144: 3264,3520 4 9180: 8653,8989 8 9180: 5090,5858 4 9192: 6891,7655 4 9216: 8057,8809,8977,9017 8 9216: 5362,5745,5842,6303,6477,6603,6685,6985,7285,7567,7843 16 9216: 3810,4278,4774,4935,5115,5313 4 9240: 6158,6927,8459,8567,8759,8903,9047 8 9240: 4614,7085 12 9240: 4796,4988 8 9288: 4638,5654 4 9300: 7745,9089 4 9312: 8141,9071 8 9312: 6369,6755 4 9360: 6238,7017,7795,8873,8947,9019,9167 8 9360: 5446,5835,5974,6291,7375 12 9360: 4302,5607,5841,6003 16 9360: 4120,4750 24 9360: 3384,3654,3762 4 9396: 8857,9169 8 9396: 5210,5882 4 9408: 7053,7835,9083,9143 8 9408: 5798,6014,6153,6513,6693,7469,7553 12 9408: 4460,4676,5084 24 9408: 3444,3588,4004 4 9432: 7071,7855,8891 4 9456: 8267,8657 4 9480: 7895,9263 8 9480: 5048,5966 4 9492: 6326,8801 4 9504: 6334,7915,8309,9259,9301 8 9504: 5786,6026,6106,6501,6681,6837,6895,7205,8041 16 9504: 3930,4386,4730 4 9552: 8351,9131 8 9552: 5558,5955 4 9576: 6382,7179,8767,8879,9287,9307,9379 6 9576: 5468,8183,8591 8 9576: 4782,5902,6142,7345,7585,8177 12 9576: 4540,4832,4972,5566,6027,6171,7007 24 9576: 3552,3630,3822 4 9600: 7197,9101,9353 8 9600: 6453,6567,6873,6965,7505,7847,7889 16 9600: 4266,4424,4712,5145,5481,5643 4 9612: 6406,8005 4 9648: 7233,8035,9223 8 9648: 5614,6015 4 9660: 8045,9389 8 9660: 5144,5954 6 9672: 6687,7775 12 9672: 5150,6039 4 9720: 8095,8899,9487,9523 8 9720: 4854,5176,5918,6086,6206,6254,7565,7685 16 9720: 4280,4664,4930 4 9744: 8519,8921 8 9744: 4866,6747 12 9744: 4164,4844 4 9756: 6502,9197 4 9768: 7323,8135,9563 4 9792: 7341,8561 8 9792: 5962,6262,6298,6969,7705,7777,7973 16 9792: 4242,4422,4690 4 9828: 8185,9113,9553,9593 8 9828: 6058,6154 12 9828: 4518,4660,6201,6273 24 9828: 3690,3978,4000 36 9828: 3060,3168 4 9840: 7377,8603,9329,9407,9617 8 9840: 5726,6135,6194 16 9840: 3912,4374 4 9856: 8617,9517,9589 4 9864: 9031,9299 8 9864: 4926,5470 4 9900: 6598,9701 8 9900: 5272,6322 4 9936: 9097,9727 8 9936: 4962,6302,6987,7535 12 9954: 5024,5290 4 9960: 6638,9119,9599 4 9984: 8315,9641 8 9984: 6386,6531,7107,7931 12 9984: 5715,6417 4 9996: 6662,9797 4 10000: 8743,9481