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

[K Sengupta]

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.

 

[Caracrist]

Answer:

Spoiler

(435) = (2301)

 

[K Sengupta]

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.

 

[daskalou]

Spoiler

(523) = (1240), n=195

 

[K Sengupta]

Spoiler

(523) = (1240), n=195

That's it !

Well done, daskalou.