一个距离最近素数的数字会创造新的记录。更多
孤独的数字高达1014:
23,53,120,211,1340,1341,1342,1343,1344,2179,3967,15704,15705,16033,19634,19635,24281,31428,31429,31430,31431,31432,31433,38501,58831,155964,203713,206699,370310,370311,370312,370313,370314,370315,370316,370317,492170,1272749,1357264,1357265,1357266,1357267,2010800,2010801,2010802,2010803,2010804,2010805,2010806,2010807,4652428,4652429,4652430,10938023,12623189,20831422,20831423,20831424,20831425,20831426,20831427,20831428,47326799,47326800,47326801,47326802,47326803,122164858,142414669,162821917,163710121,325737821,1131241763,1791752797,3173306951,4302407528,4302407529,4302407530,4302407531,4302407532,4302407533,4302407534,4302407535,4302407536,6807940367,7174208683,8835528511,10726904846,10726904847,10726904848,10726904849,10726904850,11179888193,15318488291,25056082298,25056082299,25056082300,25056082301,25056082302,25056082303,25056082304,25056082305,25056082306,25056082307,25056082308,25056082309,25056082310,25056082311,25056082312,25056082313,25056082314,25056082315,42652618572,42652618573,42652618574,42652618575,45241670743,113482615613,138465682247,303371455488,303371455489,303371455490,303371455491,304599508788,304599508789,304599508790,304599508791,304599508792,304599508793,304599508794,313455525683,343834606051,491856414677,1346294311034,1346294311035,1346294311036,1346294311037,1346294311038,1346294311039,1346294311040,1362810282439,1480975873513,2614941710924,2614941710925,5551890283531,7177162612042,7177162612043,7177162612044,7177162612045,7177162612046,7177162612047,7177162612048,7177162612049,7177162612050,9156364643509,13829048560042,13829048560043,13829048560044,13829048560045,13829048560046,13829048560047,13829048560048,13829048560049,13829048560050,13829048560051,13829048560052,13829048560053,13829048560054,13829048560055,13829048560056,13829048560057,13829048560058,13829048560059,19581334192782,19581334192783,19581334192784,19581334192785,19581334192786,19581334192787,19581334192788,19581334192789,19581334192790,19581334192791,19581334192792,19581334192793,19581334192794,19581334192795,19581334192796,19581334192797,19581334192798,19581334192799,19581334192800,19581334192801,19581334192802,19581334192803,19581334192804,19581334192805,19581334192806,26923643849953,90874329411884,90874329411885,90874329411886,90874329411887,90874329411888,90874329411889,90874329411890,90874329411891,90874329411892,90874329411893,90874329411894,90874329411895. 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211个值,从23到90874329411895)。
n\r公司 | 0 | 1 |
2 | 93 | 118 | 2 |
三 | 63 | 71 | 77 | 3 |
4 | 46 | 58 | 47 | 60 | 4 |
5 | 40 | 40 | 37 | 48 | 46 | 5 |
6 | 32 | 43 | 33 | 31 | 28 | 44 | 6 |
7 | 25 | 27 | 25 | 33 | 35 | 35 | 31 | 7 |
8 | 24 | 27 | 25 | 29 | 22 | 31 | 22 | 31 | 8 |
9 | 19 | 25 | 23 | 21 | 23 | 32 | 23 | 23 | 22 | 9 |
10 | 20 | 25 | 18 | 31 | 23 | 20 | 15 | 19 | 17 | 23 | 10 |
11 | 15 | 24 | 22 | 18 | 21 | 20 | 19 | 22 | 17 | 17 | 16 |
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.