Primes in almost all short intervals II

Key Points

• The study confirms the existence of prime numbers in the interval [n-n^(1/22+ε), n] for almost all n.
• It improves the previous exponent related to prime distributions from 1/21.5 to 1/22.
• A combination of sieve machinery and Harman's arithmetic information was utilized in the analysis.
• The introduction of variable role-reversal significantly contributes to the proof's success.