The twin primes conjecture says that there are infinitely many primes p such that p+2 is also prime. The best existing result says that there exists some k < = 246 such that p, p+k are both prime infinitely often. This paper reduces the upper bound on k to 240, and is also the first improvement since 2014.
The twin primes conjecture says that there are infinitely many primes p such that p+2 is also prime. The best existing result says that there exists some k < = 246 such that p, p+k are both prime infinitely often. This paper reduces the upper bound on k to 240, and is also the first improvement since 2014.