What is the minimum value of N in this cryptarithmetic equation?

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The discussion focuses on solving the cryptarithmetic equation (ABC)6 = (DBEF)5, where each letter represents a different digit and A and D cannot be zero. Participants explore the minimum positive integer value N in base 10 that satisfies the equation. There is a mention of a potential typing error in the provided examples, with references to other similar equations. The conversation acknowledges accurate solutions to related problems, highlighting the complexity and nuances involved in cryptarithmetic puzzles. The thread concludes with a request for administrative assistance regarding a technical issue.
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The different letters correspond to different digits, with the subscripts denoting the two bases in both sides of this cryptarithmetic equation.

(ABC)6 = (DBEF)5

If the common value in each side of the equation is equal to a positive integer N in base 10, what is the minimum value of N?

Note: None of A or D can be zero.
 
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Answer:

(435) = (2301)
 
Very good, Caracrist.

But there seems to be a typing error, since:
(435)6 = (1132)5

(2301)5 = (1302)6[/ color],

Perhaps you inadvertently posted the solution to:

(ABCD)5 = (DBCA)6

If so, I must compliment you for an accurate solution of that other problem.


*** Request Administrator assistance in due concealment of the chosen portion, for which the code do not seem to work for my browser.
 
Last edited:
(523) = (1240), n=195
 
daskalou said:
(523) = (1240), n=195

That's it !

Well done, daskalou.
 

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