Prime vs. Composite Numbers: Marking Primes in a GeoGebra Construction

This example visualizes the classification of integers into prime and composite numbers by combining geometric construction with list-based checking and on-screen labeling. It demonstrates how a number n can be tested against a precomputed primes list and how the corresponding result (prime/composite) is reflected through displayed text objects and graphical elements. Key mathematical ideas include the definition of prime and composite numbers, constructing or using a prime list (sieve-like thinking), and conditional annotation of integers. In GeoGebra, the figure is built with commands such as Corner (to define corner points), Random (to generate parameters), Polygon (to form polygonal shapes), Circle and Ellipse (to create circular/elliptic elements). The logic and display rely on objects like listaprimos, n, primo, p1botón1/p1botón2, and multiple texto* labels for presenting the prime sequence and the classification outcome. Suitable for middle school to early college learners, classroom demonstrations, and GeoGebra-based exploratory learning of basic number theory with visualization.