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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ 55 is 5 times the 5th prime. [Woods]

+ Every number greater than 55 is the sum of distinct primes of the form 4n + 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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