A number whose name in English does not contain the letter "e". more
The first 600 eban numbers :
2,
4,
6,
30,
32,
34,
36,
40,
42,
44,
46,
50,
52,
54,
56,
60,
62,
64,
66,
2000,
2002,
2004,
2006,
2030,
2032,
2034,
2036,
2040,
2042,
2044,
2046,
2050,
2052,
2054,
2056,
2060,
2062,
2064,
2066,
4000,
4002,
4004,
4006,
4030,
4032,
4034,
4036,
4040,
4042,
4044,
4046,
4050,
4052,
4054,
4056,
4060,
4062,
4064,
4066,
6000,
6002,
6004,
6006,
6030,
6032,
6034,
6036,
6040,
6042,
6044,
6046,
6050,
6052,
6054,
6056,
6060,
6062,
6064,
6066,
30000,
30002,
30004,
30006,
30030,
30032,
30034,
30036,
30040,
30042,
30044,
30046,
30050,
30052,
30054,
30056,
30060,
30062,
30064,
30066,
32000,
32002,
32004,
32006,
32030,
32032,
32034,
32036,
32040,
32042,
32044,
32046,
32050,
32052,
32054,
32056,
32060,
32062,
32064,
32066,
34000,
34002,
34004,
34006,
34030,
34032,
34034,
34036,
34040,
34042,
34044,
34046,
34050,
34052,
34054,
34056,
34060,
34062,
34064,
34066,
36000,
36002,
36004,
36006,
36030,
36032,
36034,
36036,
36040,
36042,
36044,
36046,
36050,
36052,
36054,
36056,
36060,
36062,
36064,
36066,
40000,
40002,
40004,
40006,
40030,
40032,
40034,
40036,
40040,
40042,
40044,
40046,
40050,
40052,
40054,
40056,
40060,
40062,
40064,
40066,
42000,
42002,
42004,
42006,
42030,
42032,
42034,
42036,
42040,
42042,
42044,
42046,
42050,
42052,
42054,
42056,
42060,
42062,
42064,
42066,
44000,
44002,
44004,
44006,
44030,
44032,
44034,
44036,
44040,
44042,
44044,
44046,
44050,
44052,
44054,
44056,
44060,
44062,
44064,
44066,
46000,
46002,
46004,
46006,
46030,
46032,
46034,
46036,
46040,
46042,
46044,
46046,
46050,
46052,
46054,
46056,
46060,
46062,
46064,
46066,
50000,
50002,
50004,
50006,
50030,
50032,
50034,
50036,
50040,
50042,
50044,
50046,
50050,
50052,
50054,
50056,
50060,
50062,
50064,
50066,
52000,
52002,
52004,
52006,
52030,
52032,
52034,
52036,
52040,
52042,
52044,
52046,
52050,
52052,
52054,
52056,
52060,
52062,
52064,
52066,
54000,
54002,
54004,
54006,
54030,
54032,
54034,
54036,
54040,
54042,
54044,
54046,
54050,
54052,
54054,
54056,
54060,
54062,
54064,
54066,
56000,
56002,
56004,
56006,
56030,
56032,
56034,
56036,
56040,
56042,
56044,
56046,
56050,
56052,
56054,
56056,
56060,
56062,
56064,
56066,
60000,
60002,
60004,
60006,
60030,
60032,
60034,
60036,
60040,
60042,
60044,
60046,
60050,
60052,
60054,
60056,
60060,
60062,
60064,
60066,
62000,
62002,
62004,
62006,
62030,
62032,
62034,
62036,
62040,
62042,
62044,
62046,
62050,
62052,
62054,
62056,
62060,
62062,
62064,
62066,
64000,
64002,
64004,
64006,
64030,
64032,
64034,
64036,
64040,
64042,
64044,
64046,
64050,
64052,
64054,
64056,
64060,
64062,
64064,
64066,
66000,
66002,
66004,
66006,
66030,
66032,
66034,
66036,
66040,
66042,
66044,
66046,
66050,
66052,
66054,
66056,
66060,
66062,
66064,
66066,
2000000,
2000002,
2000004,
2000006,
2000030,
2000032,
2000034,
2000036,
2000040,
2000042,
2000044,
2000046,
2000050,
2000052,
2000054,
2000056,
2000060,
2000062,
2000064,
2000066,
2002000,
2002002,
2002004,
2002006,
2002030,
2002032,
2002034,
2002036,
2002040,
2002042,
2002044,
2002046,
2002050,
2002052,
2002054,
2002056,
2002060,
2002062,
2002064,
2002066,
2004000,
2004002,
2004004,
2004006,
2004030,
2004032,
2004034,
2004036,
2004040,
2004042,
2004044,
2004046,
2004050,
2004052,
2004054,
2004056,
2004060,
2004062,
2004064,
2004066,
2006000,
2006002,
2006004,
2006006,
2006030,
2006032,
2006034,
2006036,
2006040,
2006042,
2006044,
2006046,
2006050,
2006052,
2006054,
2006056,
2006060,
2006062,
2006064,
2006066,
2030000,
2030002,
2030004,
2030006,
2030030,
2030032,
2030034,
2030036,
2030040,
2030042,
2030044,
2030046,
2030050,
2030052,
2030054,
2030056,
2030060,
2030062,
2030064,
2030066,
2032000,
2032002,
2032004,
2032006,
2032030,
2032032,
2032034,
2032036,
2032040,
2032042,
2032044,
2032046,
2032050,
2032052,
2032054,
2032056,
2032060,
2032062,
2032064,
2032066,
2034000,
2034002,
2034004,
2034006,
2034030,
2034032,
2034034,
2034036,
2034040,
2034042,
2034044,
2034046,
2034050,
2034052,
2034054,
2034056,
2034060,
2034062,
2034064,
2034066,
2036000,
2036002,
2036004,
2036006,
2036030,
2036032,
2036034,
2036036,
2036040,
2036042,
2036044,
2036046,
2036050,
2036052,
2036054,
2036056,
2036060,
2036062,
2036064,
2036066,
2040000,
2040002,
2040004,
2040006,
2040030,
2040032,
2040034,
2040036,
2040040,
2040042,
2040044,
2040046,
2040050,
2040052,
2040054,
2040056,
2040060,
2040062,
2040064,
2040066,
2042000,
2042002,
2042004,
2042006,
2042030,
2042032,
2042034,
2042036,
2042040,
2042042,
2042044,
2042046,
2042050,
2042052,
2042054,
2042056,
2042060,
2042062,
2042064,
2042066,
2044000.
Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 3199999 values, from 2 to 66066066066066).
n\r | 0 | 1 |
2 | 3199999 | 0 | 2 |
3 | 1066687 | 1066656 | 1066656 | 3 |
4 | 1599999 | 0 | 1600000 | 0 | 4 |
5 | 799999 | 800000 | 800000 | 0 | 800000 | 5 |
6 | 1066687 | 0 | 1066656 | 0 | 1066656 | 0 | 6 |
7 | 457132 | 457133 | 457172 | 457098 | 457194 | 457098 | 457172 | 7 |
8 | 799999 | 0 | 800000 | 0 | 800000 | 0 | 800000 | 0 | 8 |
9 | 355562 | 355552 | 355552 | 355563 | 355552 | 355552 | 355562 | 355552 | 355552 | 9 |
10 | 799999 | 0 | 800000 | 0 | 800000 | 0 | 800000 | 0 | 0 | 0 | 10 |
11 | 290984 | 290947 | 290896 | 290840 | 290819 | 290828 | 290867 | 290909 | 290946 | 290975 | 290988 |
A pictorial representation of the table above
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.