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 More than a million, less than ten (Posted on 2015-01-06)
This number can be expressed: - by 4 distinct digits in bases 4,8,10; - by 5 distinct digits in bases 6,7,11,15 and - by 6 distinct digits in base 16.

There is no data about other bases.

Find the number.

 No Solution Yet Submitted by Ady TZIDON No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(2): More than 3000, less than 8, computer solutions | Comment 3 of 4 |
(In reply to re: More than 3000, less than 8, computer solutions by Ady TZIDON)

v16\$ = base\$(v, 16)
If dnumct(v16\$) = 6 Then
good = 1
For i = 1 To Len(v16\$)
ix = InStr("0123456789abcdef", Mid(v16\$, i, 1))
Select Case i
Case 1
pix = ix
Case 2
diff = ix - pix
pix = ix
Case Else
If ix - pix <> diff Then good = 0: Exit For
pix = ix
End Select
Next i
v10\$ = base\$(v, 10)
If dnumct(v10\$) = 4 And good = 1 Then

reduces the solutions to 1:
```     4           8         10        6          7         11      15       16
121110030201  31241441  6636321  354123413  110256606  3822a6a  8b14b6  654321```

 Posted by Charlie on 2015-01-09 08:29:13

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