The most dangerous problem in math





The Collatz Conjecture is easy enough for almost anyone to understand but notoriously difficult to solve.

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31 Replies to “The most dangerous problem in math”

A number of people are asking why this problem is “dangerous”.

It’s described as dangerous because its difficulty has defeated the world’s greatest mathematical minds for generations.

Paul Erdos, a famous mathematician, said, "Mathematics is not yet ripe enough for such questions." Jeffrey Lagarias called it "an extraordinarily difficult problem, completely out of reach of present day mathematics".

The problem is so maddeningly difficult, mathematicians are warned to stay away from it.

Watch the full video for more context: https://www.youtube.com/watch?v=094y1Z2wpJg

Obviously multiplying any odd number by another odd number (in this case, 3) will result in another odd number. Adding one will always result in an even number which would obviously always make it go down to the 421 loop.

I'm a nerd 1. Find X.

2. Find the value of X.

3. Find X in the equation.

4. Find X in terms of Y.

5. Find X given that 3X + 5 = 20.

6. Find X in the linear equation.

7. Find X using substitution.

8. Find X in the system of equations.

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10. Find X using the quadratic formula.

11. Find X in the inequality.

12. Find X in the absolute value equation.

13. Find X if Y = MX + B.

14. Find X that satisfies the equation.

15. Find X such that 2X – 4 = 10.

16. Find X in the function f(X).

17. Find X when f(X) = 0.

18. Find X in the rational equation.

19. Find X when given two points on a line.

20. Find X in the matrix equation.

21. Find the angle X.

22. Find X in the right triangle.

23. Find X using the Pythagorean theorem.

24. Find X in the isosceles triangle.

25. Find X in the equilateral triangle.

26. Find X using the sine rule.

27. Find X using the cosine rule.

28. Find X in the circle.

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77. Find X in the standard deviation equation.

78. Find X in the variance formula.

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124. Find X in the probability density function.

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126. Find X in the fractal equation.

127. Find X in the chaos theory equation.

128. Find X in the prime number theorem.

129. Find X in the Riemann hypothesis equation.

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131. Find X in the Collatz conjecture.

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134. Find X in the graph theory equation.

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152. Find X when Y = 5.

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154. Find X when the derivative is zero.

155. Find X given that f(X) = 0.

156. Find X such that g(X) = h(X).

157. Find X in terms of π.

158. Find X modulo 7.

159. Find X if it is a prime number.

160. Find X using logarithms.

161. Find X as an integer solution.

162. Find X if it is a rational number.

163. Find X if it belongs to the real numbers.

164. Find X in the domain of f(X).

165. Find X that maximizes the function.

166. Find X that minimizes the function.

167. Find X if it is an even number.

168. Find X if it is an odd number.

169. Find X given its absolute value.

170. Find X using the quadratic formula.

171. Find X in terms of factorials.

172. Find X using trigonometric identities.

173. Find X given the sum of the series.

174. Find X in the binomial expansion.

175. Find X in the Taylor series.

176. Find X in the Fourier transform.

177. Find X in the Laplace transform.

178. Find X as a complex number.

179. Find X in the Argand plane.

180. Find X in polar coordinates.

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186. Find X in a differential equation.

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194. Find X given the normal distribution.

195. Find X in the Poisson distribution.

196. Find X in a chi-square test.

197. Find X using Bayes’ theorem.

198. Find X given the confidence interval.

199. Find X using a hypothesis test.

200. Find X in a regression equation.

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217. Find X in an algebraic field.

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219. Find X in a linear transformation.

220. Find X in a set of basis vectors.

221. Find X in a topology problem.

222. Find X in a Euler characteristic.

223. Find X in a fundamental group.

224. Find X in a homotopy equivalence.

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244. Find X in a Riemann surface.

245. Find X in a manifold equation.

246. Find X in a tensor field.

247. Find X in a curvature equation.

248. Find X in a Ricci flow equation.
Yall pls don't say this is copied and pasted i actually wrote this and my fingers hurt.
Also, pls don't copy and paste this to think yall gonna get famous.

I don't really get what's so special about this problem. I feel there's a whole heap of other similar rule parings you could apply, and not get the universal rule. I don't think it's very easy to turn an iterative sequence into a deterministic equation, unless there's only one rule being applied.

Am I being pranked here? Am I being told that millions of individuals including the self professed best in the field of mathematics have found this yet failed to find a proof?

I found a proof within minutes. It didn’t even take that much effort. I would consider it pretty low on the scale of difficulty for unsolved math problems. By the way yes, the conjecture is correct.
But what a world. What a world. What can one do with so inept a world

404 Danger Not Found. So what if all positive integers are conjectured to eventually fall into the 4-2-1 loop? It just sounds like a fractal algorithm at that point.

Interesting but why 'dangerous'? The "danger" lies not in the problem itself, but in its ability to lure researchers into a mathematical quicksand—easy to enter, hard to escape, with no guaranteed reward. Some mathematicians avoid it, fearing it could consume their careers without yielding results.

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