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

  • Thread starter Thread starter K Sengupta
  • Start date Start date
AI Thread Summary
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.
K Sengupta
Messages
113
Reaction score
0
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.
 
Physics news on Phys.org
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.
 

Thread 'Predictions for the Nobel Prize in Physics 2025'

Similar to the 2024 thread, here I start the 2025 thread. As always it is getting increasingly difficult to predict, so I will make a list based on other article predictions. You can also leave your prediction here. Here are the predictions of 2024 that did not make it: Peter Shor, David Deutsch and all the rest of the quantum computing community (various sources) Pablo Jarrillo Herrero, Allan McDonald and Rafi Bistritzer for magic angle in twisted graphene (various sources) Christoph...
View full post »
Thread 'My experience as a hostage'

Thread 'My experience as a hostage'

I believe it was the summer of 2001 that I made a trip to Peru for my work. I was a private contractor doing automation engineering and programming for various companies, including Frito Lay. Frito had purchased a snack food plant near Lima, Peru, and sent me down to oversee the upgrades to the systems and the startup. Peru was still suffering the ills of a recent civil war and I knew it was dicey, but the money was too good to pass up. It was a long trip to Lima; about 14 hours of airtime...
View full post »

Similar threads

Getting the maximum and the minimum with now
Replies
2
Views
3K
Sum the squares cryptarithmetically, get square
Replies
5
Views
2K
(4-digit number)*(6-digit number) equals a factorial
Replies
1
Views
4K
Summed exponents for a 8- digit positive decimal integer
Replies
2
Views
3K
MHB Representation of signed integers of base B
Replies
17
Views
1K
MHB Quadratic equations intersaction point is minimum instead of roots
Replies
2
Views
1K
Minimum or Maximum value of a multivariate function
Replies
5
Views
2K
Application of N choose K, unsure of what is happening
Replies
6
Views
2K
Find the values of ## n\geq 1 ## for which ## 1+2+3+\dotsb +n ##.
Replies
4
Views
1K
Two successive digits and divisibility puzzle
Replies
1
Views
3K

Hot Threads

Recent Insights

Back
Top