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tech / sci.math / There is no Zero in Mathematics Digits Riddle

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* There is no Zero in Mathematics Digits RiddleMostowski Collapse
`* Re: There is no Zero in Mathematics Digits RiddleMostowski Collapse
 `- Re: There is no Zero in Mathematics Digits RiddleMostowski Collapse

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There is no Zero in Mathematics Digits Riddle

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Subject: There is no Zero in Mathematics Digits Riddle
From: burse...@gmail.com (Mostowski Collapse)
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 by: Mostowski Collapse - Tue, 21 Sep 2021 18:13 UTC

This gives me:

?- X is 10^10//81-1.
X = 123456789.

So the expression delivers a number with all non-zero
digits. Is there another formula that delivers all digits,
possibly permuted, where the formula itself has no zero in it?

Re: There is no Zero in Mathematics Digits Riddle

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Subject: Re: There is no Zero in Mathematics Digits Riddle
From: burse...@gmail.com (Mostowski Collapse)
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 by: Mostowski Collapse - Tue, 21 Sep 2021 18:59 UTC

Come on AP brain farto, you can do it!
This will give a new infinity border.

Mostowski Collapse schrieb am Dienstag, 21. September 2021 um 20:13:35 UTC+2:
> This gives me:
>
> ?- X is 10^10//81-1.
> X = 123456789.
>
> So the expression delivers a number with all non-zero
> digits. Is there another formula that delivers all digits,
> possibly permuted, where the formula itself has no zero in it?

Re: There is no Zero in Mathematics Digits Riddle

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Subject: Re: There is no Zero in Mathematics Digits Riddle
From: burse...@gmail.com (Mostowski Collapse)
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 by: Mostowski Collapse - Tue, 21 Sep 2021 19:20 UTC

SWI-Prolog gives me:

?- use_module(library(clpfd)).
true.


?- [D1,D2,D3,D4,D5,D6,D7,D8,D9] ins 1..9,
[A,B,C] ins 2..9\/11..15,
A^B*C #= (((((((D1*10+D2)*10+D3)*10+D4)*10+D5)*10+D6)*10+D7)*10+D8)*10+D9,
all_different([D1,D2,D3,D4,D5,D6,D7,D8,D9]),
label([A,B,C,D1,D2,D3,D4,D5,D6,D7,D8,D9]).
D1 = C, C = 9,
D2 = 4,
D3 = 8,
D4 = B, B = 7,
D5 = 2,
D6 = 1,
D7 = 5,
D8 = 3,
D9 = 6,
N = 948721536,
A = 14 ;
false.


?- X is 14^7*9.
X = 948721536.

LoL

Mostowski Collapse schrieb am Dienstag, 21. September 2021 um 21:00:00 UTC+2:
> Come on AP brain farto, you can do it!
> This will give a new infinity border.
> Mostowski Collapse schrieb am Dienstag, 21. September 2021 um 20:13:35 UTC+2:
> > This gives me:
> >
> > ?- X is 10^10//81-1.
> > X = 123456789.
> >
> > So the expression delivers a number with all non-zero
> > digits. Is there another formula that delivers all digits,
> > possibly permuted, where the formula itself has no zero in it?

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