MHB Solving equation in natural number

  • Thread starter Thread starter anemone
  • Start date Start date
  • Tags Tags
    Natural
AI Thread Summary
The equation presented is 144 + 144^49 + 144^(49^2) + ... + 144^(49^2018) = 3(y^4038 - 1), where y must be an odd natural number. The original poster expresses excitement about making progress but finds the rewritten form unhelpful. There is a sense of determination to solve the equation despite the challenges. The discussion highlights the complexity of finding the natural number y that satisfies the equation. The pursuit of a solution continues, indicating ongoing engagement with the problem.
anemone
Gold Member
MHB
POTW Director
Messages
3,851
Reaction score
115
What is the natural $y$ from $144+{{144}^{49}}+{{144}^{{{49}^{2}}}}+{{144}^{{{49}^{3}}}}+...+{{144}^{{{49}^{2018}}}}=3({{y}^{4038}}-1)$?
 
Mathematics news on Phys.org
y must be an odd number. Yippee! I got somewhere with it! (Sun)

I rewrote it into (what I think is) a simpler form but it tells me nothing. I'm going to be up all night trying to grok this one.

-Dan
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
View full post »

Similar threads

I Find an explicit formula for this n-sum problem
Replies
7
Views
3K
I Fit Triples into Sixtuples in the best way?
Replies
7
Views
2K
I Convert 2 variables into 1 representative variable
Replies
5
Views
1K
MHB Solve x³+3xy²=-49 and x²-8xy+y²=8y-17x
Replies
13
Views
2K
I A thought about the Riemann hypothesis
Replies
7
Views
2K
I Switching to Math -- "If you are the 50th best student in the class"....
Replies
3
Views
2K
MHB Solving Quadratic Equations with Binary Operator $\otimes$
Replies
6
Views
2K
Number of ways to choose a pair of distinct number
Replies
5
Views
3K
MHB Determining $a_7$ with Given Conditions
Replies
1
Views
1K
Restricted (Natural) cubic spline - wrong equation?
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top