# 76

This number is a composite.

(76!)^{2} + 1 is prime. [Sellers]

76 is the only number n that can be partitioned in exactly n ways, using only distinct prime addends. [Rivera]

76^76 - prime(76) is prime. Note that 76 is the only two-digit number with this property and there is no three-digit number with this property. [Firoozbakht]

A year after tackling how close together prime number pairs can stay, mathematicians have now made the first major advance in 76 years in understanding how far apart primes can be. [Klarreich]

The first occurrence of a composite number whose factorization without exponents contains exactly one circular loop on each side of the equals sign (76 = 2*2*19). [Honaker]

Printed from the PrimePages <t5k.org> © G. L. Honaker and Chris K. Caldwell