The representation of one million in odd bases, starting with 3 are:
3 1212210202001
5 224000000
7 11333311
9 1783661
11 623351
13 290221
15 14B46A
17 BG939
19 7CF1B
21 52KC1
23 3D486
25 2E000
27 1NLK1
29 1C01M
31 12HI2
33 RR91
35 NBBF
37 JRH1
39 GXI1
41 EKA
43 COZZ (that's a letter O)
where A, B, C, etc. are used to represent values of 10, 11, 12, etc., so the next one in sequence is 14B46A.
Alternatively you might want to represent this as 14(11)46(10), as in the following table:
15 14(11)46(10)
17 (11)(16)939
19 7(12)(15)1(11)
21 52(20)(12)1
23 3(13)486
25 2(14)000
27 1(23)(21)(20)1
29 1(12)01(22)
31 12(17)(18)2
33 (27)(27)91
35 (23)(11)(11)(15)
37 (19)(27)(17)1
39 (16)(33)(18)1
41 (14)(20)(36)(10)
43 (12)(24)(35)(35)
45 (10)(43)(37)(10)
47 9(29)(32)(28)
49 8(24)(24)8
51 7(27)(23)(43)
53 6(37)(52)(49)
55 60(31)(45)
57 5(22)(44)(49)
59 4(51)(16)9
61 4(24)(45)(27)
63 3(62)(60)1
65 3(41)(44)(40)
67 3(21)(51)(25)
69 332(52)
71 2(56)(26)(36)
73 2(41)(47)(46)
75 2(27)(58)(25)
77 2(14)(51)1
79 22(18)(18)
81 1(71)(33)(55)
83 1(62)(13)(16)
85 1(53)(34)(60)
87 1(45)(10)(22)
89 1(37)(21)(85)
91 1(29)(69)1
93 1(22)(57)(64)
95 1(15)(76)(30)
97 19(27)(27)
99 1331
|
|
Posted by Charlie
on 2004-11-26 20:08:07 |
solution
