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Prime gaps gₙ = p_{n+1}−pₙ show remarkable structure. Bertrand's postulate (1845): always a prime between n and 2n, so gₙ < pₙ. Cramér conjecture (1936): lim sup gₙ/(log pₙ)² = 1. Record gaps (maximal gaps) occur at: 2,3,7,23,89,113,… The distribution of gaps mod small numbers reveals the prime constellation patterns.