Yitang Zhang, twin primes conjecture: A huge discovery about prime numbers—and what it means for the future of math.
http://www.slate.com/articles/health_and_science/do_the_math/2013/05/yitang_zhang_twin_primes_conjecture_a_huge_discovery_about_prime_numbers.html
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Constantine Adraktas says:
I would like to add for the Twin Primes
https://www.academia.edu/7400402/Genesis_12_-_Proof_of_the_Twin_Primes_conjecture_Primes_and_their_Composites_cohabitants_Kaleidoscope_-_By_Constantine_Adraktas_Alma_Mater_MIT
and for the Non Randomness of Primes
https://www.academia.edu/8199522/Randomness_of_the_Prime_Numbers_-_Constantine_Adraktas_versus_Terence_Tao_and_Leonhard_Euler