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Total: 2 result(s)
experimental cmavo digit/number: Niven's greatest-exponent prime factorization constant lim_(n->∞) (avg_n (H)) ≈ 1.705211… This constant is the greatest exponent appearing in the prime factorization of a positive natural number over the ring integers on average. See also: ni'e'oi
experimental cmavo digit/number: Niven's smallest-exponent prime factorization constant c = zeta(3/2)/zeta(3) ≈ 2.1732543125195541382370898404… This constant plays a role in the bounding of the infinite sum of the smallest exponents in the prime factorizations of the positive natural numbers over the ring of integers; specifically, it is the coefficient of the √(n) term; Niven's bound more fully is given by n + c√(n) + o(√(n)). See also: ni'e'ei