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Proof establishes the q-adic valuation of prime quotients, suggesting new insights in number theory.
Proof and computational verification (515/515) of the q-adic valuation theorem: v_q(R/k) = v_q(b^k − 1) − v_q(k), where p, b are distinct primes, k = ord_p(b), R = (b^k−1)/p, and q ≠ p.
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Ricardo Hernández Reveles (2026) studied this question.
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