The subset-sum problem is one of the most frequently occurring NP (nondeterministic, polynomial-time)-complete) problems. It asks whether a subset of numbers in a set of positive integers adds up ...

We have constructed a Carmichael number with 10,333,229,505 prime factors, and have also constructed Carmichael numbers with k prime factors for every k between 3 and 19,565,220. These computations ...

The subset sum problem involves determining whether a specific subset of numbers can sum to a given target. By mapping this problem onto their photonic processor, the researchers can encode the ...

As an example of an easy-to-check but hard-to-find solution, one can look at the subset sum problem: determining whether or not a subset of numbers adds to zero is easy, but picking that subset ...

Best-subset selection aims to find a small subset of predictors, so that the resulting linear model is expected to have the most desirable prediction accuracy. It is not only important and imperative ...