ls ~/math/conjectures

Mind-blowing conjectures

• mathConjetura de Collatz[link][code][images]

  Interactive Collatz Conjecture (3n+1) analyzer. Generates and analyzes sequences for any positive integer, multiple visualization modes (static graphs, animated, spirals, decision trees), sequence comparison, and JSON export. Handles numbers up to 10²¹.

• mathTeorema de Fermat 3D[link][code][images]

  Interactive 3D visualizations of Fermat's Last Theorem (aⁿ + bⁿ = cⁿ). Demonstrates that n=2 has infinite integer solutions (Pythagoras) and why none exist for n>2. 4 visualization types: 3D points, Pythagorean triples, absence charts and error comparisons.

• mathPrimos gemelos[link][code][images]

  Generates and visualizes twin prime numbers to understand their patterns and distribution. 4 visualization types (number line, trends, spirals, distance histograms), CSV export, and advanced statistical analysis. Uses optimized Sieve of Eratosthenes.

• mathConjetura de Goldbach[link][code][images]

  GUI application to visualize the Goldbach Conjecture (every even > 2 is sum of two primes). Individual even number analysis, range analysis, and visualizations with prime pair scatter plots and combination count histograms.

• mathLa fantasía del 7[link][code][images]

  A full manuscript that openly constructs a rigorous mathematical system in which every natural number converges to 7 by design, developing its theory with the apparatus of a conventional paper: proven universal convergence, an exact closed form for convergence time, optimal band, extremal values (powers of 2 and Mersenne numbers), uniform distribution over dyadic octaves and exhaustive computational verification up to 10⁷. The F_k family shows that the "specialness" of any number is manufacturable: a demarcation experiment between mathematics and pseudoscience. Published as a full article on the blog.