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factorize
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The number of steps that are necessary to factorize a large number using all known algorithms increases exponentially with the size of the number.
The integer 6,036, for instance, has the prime factorization 2 x 2 x 3 x 503, and 6 + 0 + 3 + 6 = 2 + 2 + 3 + 5 + 0 + 3.
A quantum computer has successfully factorized a number for the first time.
Following this revelation, perhaps we shouldn't be too hasty to rule out the possibility that there is also a simple algorithm for factorization that has similarly been overlooked.
In August 1999 a large team of mathematicians took over 35 computing years to factorise a 155 digit number.
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