If you still have the February 2, 2015, issue of The New Yorker taking up space, I would direct your attention to Page 22 – Profiles: The Pursuit of Beauty: Yitang Zhang solves a pure-math mystery, by Alec Wilkinson.
From Page 27 – a statement of Prof Zhang’s achievement: “Zhang established that there is a distance [on the number line] within which, on an infinite number of occasions, there will always be two primes.”
From Page 22 – a reproof to an old husband’s tale: “”In 2010 [at which time he started working on ‘the problem’], he [Zhang] was 55. ‘No mathematician should ever allow himself to forget that mathematics, more than any other art or science, is a young man’s [sic] game,’ Hardy [G. H. Hardy, British mathematician circa 1940] wrote. He also wrote, ‘I do not know of an instance of a major mathematical advance initiated by a man [sic!] past fifty.’”
From Page 28 – a thought that each of us should keep in mind when we are tempted to think that we are too old to do whatever: “I [the author] asked about Hardy’s observations regarding age – Hardy also wrote, ‘A mathematician may still be competent enough at sixty, but it is useless to expect him to have original ideas.’
‘This may not apply to me,’ Zhang said. He put his tea on the desk and looked out the window. ‘Still I think I have intuition,’ he said. ‘Still I am confident of myself. Still I have some other visions.’”