$t_title is "4"
$t_subtitle is "(just those submitted by Capelle)"
$t_adjust_path is "/~caldwell/curios/"
$t_class is "composite"
$nunber_id is "111"
$t_meta['description'] is "One of many pages of prime number
curiosities and trivia. This page discusses 4
Come explore a new prime today!"
Just showing those entries submitted by 'Capelle':
(Click here to show all)
If we add 4 and the 4th Fibonacci number (which is prime), we find the 4th Lucas number (which is the 4th prime number). [Capelle]
If S(n) is the sum of the first n primes, then the limit of
S(2n)/S(n) = 4, as n approaches infinity. [Capelle]
4 is the smallest number n such that n and n! are product
of factorials of primes (4 = 2!2! and 4! = 2!2!3!). [Capelle]
There are 4 known positive integers n such that the sum of
all primes smaller or equal to n divides n(n+1)/2. This sum
also divides the sum of all nonprimes smaller or equal to
n. Note that 4 is the smallest positive integer with this
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