OEIS A000232: Gilbert Triangle and the Gilbert Conjecture

In this episode we explore OEIS A000232, the sequence that encodes how far you must search into each row of the Gilbert Triangle (built from primes) to find the first entry bigger than 2. We explain the rule with a concrete example, outline Gilbert's conjecture that the first term of every row after the second is 1, review computational evidence, and touch on related ideas—the Gilbert permutations and reformulations that connect to broader topics in primes and algebra. A compact tour of a surprisingly far-reaching pattern in number theory.

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