# 76

$t_title is "76"

$t_adjust_path is "/~caldwell/curios/"

$t_class is "composite"

$short is "76"

$nunber_id is "309"

$t_meta['description'] is "One of many pages of prime number
curiosities and trivia. This page discusses 76
Come explore a new prime today!"

(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]

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