A new proof about prime numbers illuminates the subtle relationship between addition and multiplication — and raises hopes for progress on the famous abc conjecture. One morning last November, the ...

Can you infer the simple rule behind a number sequence that spikes up and down like the beating of a heart? Our Insights problem this month is based on a sequence of integers which comes from Neil ...

These attempts would never solve my problem outright, but they might garner evidence toward an answer. My lack of programming expertise and resulting impatience slowed the process, making it an ...