Getting the maximum and the minimum with now

  • Thread starter Thread starter K Sengupta
  • Start date Start date
  • Tags Tags
    Maximum Minimum
AI Thread Summary
The cryptarithmetic equation involves finding the three-digit integer "NOW" such that when squared, it equals the expression (xxxxxxNOW)/1983. The discussion highlights that the solution was obtained through brute force methods. The key focus is on determining the minimum and maximum values of "NOW." The calculations reveal specific bounds for "NOW," emphasizing the importance of exploring all possible digit combinations to satisfy the equation while adhering to the constraints of decimal digits and no leading zeros. The brute force approach proves effective in identifying these limits.
K Sengupta
Messages
113
Reaction score
0
In the following cryptarithmetic equation, each of the x’s represent a decimal digit, whether same or different, and “NOW” represents a three digit positive integer with no leading zero. Each of N, O and W represent a decimal digit, whether same or different.

(N O W) * (N O W)
= (x x x x x x N O W)/1983

What are the respective minimum value and the maximum value of “NOW”?
 
Last edited:
Physics news on Phys.org
There are three values of NOW that satisfy the equation:
272: 272 * 272 == 146710272 / 1983
375: 375 * 375 == 278859375 / 1983
647: 647 * 647 == 830101647 / 1983
272 is the minimum and 647 is the maximum.
This was found by brute force.
 
Also found by Brute Force:
There are three solutions:
n=2 o=7 w=2 => now*now*1983=146710272
n=3 o=7 w=5 => now*now*1983=278859375
n=6 o=4 w=7 => now*now*1983=830101647

Thus, the minimum value for now is 272 and the maximum is 647.
 

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

MHB Representation of signed integers of base B
Replies
17
Views
1K
Prove that ##\lim\limits_{x \to \infty} f(x) = 0##
Replies
3
Views
521
Divide by one digit numbers by two digit numbers, and add to get 1
Replies
4
Views
6K
Very tricky problem from Spivak's Calculus, Ch. 4 & 5: Graphs/Limits
Replies
32
Views
3K
Multiplying six by two gets twelve
Replies
1
Views
3K
What is the minimum value of N in this cryptarithmetic equation?
Replies
4
Views
3K
I Fuel paradox arising from Galilean transformation?
Replies
4
Views
1K
I Conventionality of the One-Way Speed of Light
Replies
5
Views
323
I Alternating Harmonic Numbers are cool, spread the word!
Replies
4
Views
2K
Given specific v, dimension of subspace of L(V, W) where Tv=0?
Replies
15
Views
2K

Hot Threads

Recent Insights

Back
Top