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Applications of mathematics for the design and analysis of games and puzzles
9
votes
sum of binary and ternary digits
You can prove your conjecture by combining local methods, linear forms in logarithms, and computations (either brute force or continued fractions).
Suppose you have $\sum t_k=\sum b_k = 2$, i.e. $2^x …
1
vote
Accepted
Game: Avoid the Gaussian primes
This is only a heuristics, but I would assume that the game either ends after a few steps, or the outcome is determined simply by the parity of $(X+1)(Y+1)$ minus the number of gaussian primes in the …