# 55

$t_title is "55"

$t_adjust_path is "/~caldwell/curios/"

$t_class is "composite"

$short is "55"

$nunber_id is "486"

$t_meta['description'] is "One of many pages of prime number
curiosities and trivia. This page discusses 55
Come explore a new prime today!"

55 is 5 times the 5^{th} prime. [Woods]

Every number greater than 55 is the sum of distinct primes of the
form 4*n* + 3. [Wells]

If sigma(*n*)/*n* is greater than 9, then *n* has
at least 55 distinct prime factors. [Laatsch]

Klimov (1975) showed that all integers are the sum of at most 55 prime numbers.

2^55-55 is the largest non-titanic prime of form 2^n-n, where n is a composite number. [Loungrides]

(There are 4 curios for this number that have not yet been approved by an editor.)

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