As stated in the article, those conjectures were made in 1923. The recent quanta article https://www.quantamagazine.org/20160313-mathematicians-discover-prime-c

As stated in the article, those conjectures were made in 1923. The recent quanta article https://www.quantamagazine.org/20160313-mathematicians-discover-prime-conspiracy/ https://www.quantamagazine.org/20160313-mathematicians-disco... involves a new correlation discovered in the primes, which means that the statistical model is more interesting than we previously thought. For a mathematician's perspective on the recent breakthrough, I recommend https://terrytao.wordpress.com/2016/03/14/biases-between-consecutive-primes/ https://terrytao.wordpress.com/2016/03/14/biases-between-con....