Jingwei Liu

A Prescribed-Factor Sieve and a Prime-Gap Bound of 216

Let H_1 = liminf_{n→∞}(p_{n+1} − p_n). This preprint develops a prescribed-factor equidistribution theorem and combines it with a certified Maynard sieve weight to derive the bound H_1 ≤ 216. The analytic component treats Type-I convolutions in arithmetic progressions to squarefr...

A Prescribed-Factor Sieve and a Prime-Gap Bound of 216

Let H_1 = liminf_{n→∞}(p_{n+1} − p_n). This preprint develops a prescribed-factor equidistribution theorem and combines it with a certified Maynard sieve weight to derive the bound H_1 ≤ 216. The analytic component treats Type-I convolutions in arithmetic progressions to squarefr...