一种以2为底的表示法包含奇数个1的数。更多
前600个讨厌的数字:
1,2,4,7,8,11,13,14,16,19,21,22,25,26,28,31,32,35,37,38,41,42,44,47,49,50,52,55,56,59,61,62,64,67,69,70,73,74,76,79,81,82,84,87,88,91,93,94,97,98,100,103,104,107,109,110,112,115,117,118,121,122,124,127,128,131,133,134,137,138,140,143,145,146,148,151,152,155,157,158,161,162,164,167,168,171,173,174,176,179,181,182,185,186,188,191,193,194,196,199,200,203,205,206,208,211,213,214,217,218,220,223,224,227,229,230,233,234,236,239,241,242,244,247,248,251,253,254,256,259,261,262,265,266,268,271,273,274,276,279,280,283,285,286,289,290,292,295,296,299,301,302,304,307,309,310,313,314,316,319,321,322,324,327,328,331,333,334,336,339,341,342,345,346,348,351,352,355,357,358,361,362,364,367,369,370,372,375,376,379,381,382,385,386,388,391,392,395,397,398,400,403,405,406,409,410,412,415,416,419,421,422,425,426,428,431,433,434,436,439,440,443,445,446,448,451,453,454,457,458,460,463,465,466,468,471,472,475,477,478,481,482,484,487,488,491,493,494,496,499,501,502,505,506,508,511,512,515,517,518,521,522,524,527,529,530,532,535,536,539,541,542,545,546,548,551,552,555,557,558,560,563,565,566,569,570,572,575,577,578,580,583,584,587,589,590,592,595,597,598,601,602,604,607,608,611,613,614,617,618,620,623,625,626,628,631,632,635,637,638,641,642,644,647,648,651,653,654,656,659,661,662,665,666,668,671,672,675,677,678,681,682,684,687,689,690,692,695,696,699,701,702,704,707,709,710,713,714,716,719,721,722,724,727,728,731,733,734,737,738,740,743,744,747,749,750,752,755,757,758,761,762,764,767,769,770,772,775,776,779,781,782,784,787,789,790,793,794,796,799,800,803,805,806,809,810,812,815,817,818,820,823,824,827,829,830,832,835,837,838,841,842,844,847,849,850,852,855,856,859,861,862,865,866,868,871,872,875,877,878,880,883,885,886,889,890,892,895,896,899,901,902,905,906,908,911,913,914,916,919,920,923,925,926,929,930,932,935,936,939,941,942,944,947,949,950,953,954,956,959,961,962,964,967,968,971,973,974,976,979,981,982,985,986,988,991,992,995,997,998,1001,1002,1004,1007,1009,1010,1012,1015,1016,1019,1021,1022,1024,1027,1029,1030,1033,1034,1036,1039,1041,1042,1044,1047,1048,1051,1053,1054,1057,1058,1060,1063,1064,1067,1069,1070,1072,1075,1077,1078,1081,1082,1084,1087,1089,1090,1092,1095,1096,1099,1101,1102,1104,1107,1109,1110,1113,1114,1116,1119,1120,1123,1125,1126,1129,1130,1132,1135,1137,1138,1140,1143,1144,1147,1149,1150,1153,1154,1156,1159,1160,1163,1165,1166,1168,1171,1173,1174,1177,1178,1180,1183,1184,1187,1189,1190,1193,1194,1196,1199. 剩余物的分配当这个家族中的数字除以n个=2, 3,..., 11.(我考虑了5000001个值,从1到10000001)。
n\r公司 | 0 | 1 |
2 | 2500000 | 2500001 | 2 |
三 | 1557344 | 1754997 | 1687660 | 3 |
4 | 1250000 | 1250001 | 1250000 | 1250000 | 4 |
5 | 996565 | 1000286 | 1002630 | 1000000 | 1000520 | 5 |
6 | 767449 | 899218 | 876772 | 789895 | 855779 | 810888 | 6 |
7 | 713579 | 714300 | 714321 | 714800 | 713723 | 714443 | 714835 | 7 |
8 | 625000 | 625001 | 625000 | 625000 | 625000 | 625000 | 625000 | 625000 | 8 |
9 | 519096 | 584996 | 562546 | 519139 | 585008 | 562542 | 519109 | 584993 | 562572 | 9 |
10 | 498090 | 501911 | 501005 | 498995 | 501525 | 498475 | 498375 | 501625 | 501005 | 498995 | 10 |
11 | 454479 | 454603 | 454624 | 454498 | 454578 | 454480 | 454469 | 454612 | 454613 | 454517 | 454528 |
上表的图示
想象一下用一个数字来划分这个家庭的成员n个并计算余数。如果它们均匀分布,则每个余数从0到n个-1将在大约(1)中获得/n个)-第个案例。此结果由白色方块表示。红色(分别为蓝色)方块表示剩余物,其出现频率高于(分别低于)1/n个.