John D. Cook • 1/6/2026

Largest known compositorial prime

The article discusses the discovery of a new record for the largest known compositorial prime, defined as a prime number of the form n! / n# + 1. The specific prime is N = 751882!/751882# + 1, containing approximately 3.76 million digits. It explains the mathematical notation, provides size estimates using logarithms, and contextualizes it among other large primes, noting it is not a Mersenne prime.

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#mathematics #prime numbers #number theory