Treffer: Prime Sequence Hypothesis -PSH (Vô Hypothesis 1-VH1)

In this paper, we propose a general hypothesis regarding sequences of distinct prime numbers, extending concepts from twin primes and prime sums related to Goldbach’s problem. The hypothesis asserts that for every integer \(m \ge 3\), there exist infinitely many sequences of distinct primes \[\{a_1, a_2, \ldots, a_m\}\] such that the sum of the first \(m-1\) terms equals the \(m\)-th term: \[a_1 + a_2 + \cdots + a_{m-1} = a_m\] We analyze the necessary parity conditions, explore connections to classical problems, and propose a research direction based on **odd Goldbach representations** with distinct primes as a foundational step.