Big news for big numbers. There’s a new entry in the Largest Known Primes Database, a list of numbers divisible only by one and themselves. At nine million digits long, 10223 × 2 31172165 + 1 comes in ...

The Riemann hypothesis is the most important open question in number theory—if not all of mathematics. It has occupied experts for more than 160 years. And the problem appeared both in mathematician ...

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For millennia, mathematicians have wondered whether odd perfect numbers exist, establishing an extraordinary list of restrictions for the hypothetical objects in the process. Insight on this question ...