Factorial and binomial topics | Classes of prime numbers

Pillai prime

In number theory, a Pillai prime is a prime number p for which there is an integer n > 0 such that the factorial of n is one less than a multiple of the prime, but the prime is not one more than a multiple of n. To put it algebraically, but . The first few Pillai primes are 23, 29, 59, 61, 67, 71, 79, 83, 109, 137, 139, 149, 193, ... (sequence in the OEIS) Pillai primes are named after the mathematician Subbayya Sivasankaranarayana Pillai, who studied these numbers. Their infinitude has been proved several times, by Subbarao, Erdős, and Hardy & Subbarao. (Wikipedia).

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Related pages

Prime number | Subbayya Sivasankaranarayana Pillai | Mathukumalli V. Subbarao | Factorial | Number theory