In this note, mathematician Paul Erdős discusses how problems are essential in his mathematical life, serving as benchmarks for progress and opportunities for new insights. He shares some of his favorite problems, acknowledging that they may not all lead to groundbreaking solutions but have challenged even the best mathematicians for decades. The cycle of problem-solving in mathematics is endless, with new ideas leading to more general results and, inevitably, new problems. Erdős highlights a database of 589 problems, with only 159 solved, showcasing the ongoing challenge and reward within the field.
https://www.erdosproblems.com/