PI Voight speaks to the challenge of perfect numbers

For millennia, mathematicians have wondered whether odd perfect numbers exist, establishing an extraordinary list of restrictions for the hypothetical objects in the process. Insight on this question could come from studying the next best things. “Proving that something exists is easy if you can find just one example,” said John Voight, a professor of mathematics at Dartmouth. “But proving that something does not exist can be really hard.” Read more in Quanta.