[math-fun] big prime gaps

The widest prime gap among primes<X (assuming X>100), is claimed in this 40-page paper to exceed C * lnX * lnlnX * lnlnlnlnX / lnlnlnX for some computable positive constant C. This is a major breakthrough but still well short of proving Cramer's conjecture. arxiv.org/abs/1412.5029 Long gaps between primes by Kevin Ford, Ben Green, Sergei Konyagin, James Maynard, Terence Tao April 2015 -- Warren D. Smith http://RangeVoting.org <-- add your endorsement (by clicking "endorse" as 1st step)