Common Challenges
Triple twist numbers, where each digit differs by 1 and the first is a multiple of 3, pose challenges in identification and efficient generation. The lack of a clear pattern makes manual search cumbersome, and conventional algorithms can be computationally intensive.
Innovative Solutions
Leveraging modular arithmetic simplifies the search process. By considering congruences modulo 3, it becomes evident that the triple twist numbers must all have the same remainder when divided by 3. This insight allows for a targeted search within specific congruence classes, significantly reducing the computation time compared to exhaustive methods.
