The Unknown Lecturer Who Broke the Prime Barrier

Yitang Zhang transformed number theory in 2013 by proving that infinitely many pairs of prime numbers are separated by no more than a fixed finite bound. His result was the first decisive breakthrough toward the twin-prime conjecture in generations and triggered rapid worldwide progress. This documentary follows Zhang from Peking University and Purdue through years of insecure employment to the University of New Hampshire, UC Santa Barbara and Sun Yat-sen University, revealing how persistence produced a historic result.

Zhang's bounded-gap theorem changed what mathematicians believed was possible in the study of prime numbers. It sparked collaborative improvements, influenced later work by James Maynard and Terence Tao, and turned an obscure lecturer into an internationally honored researcher. His personal journey gives the mathematics unusual emotional power: years outside secure academia did not end his pursuit. The documentary shows how patience, independence and one carefully developed idea can reopen a problem that resisted.