Last Updated
：2025/12/07
p-adic order
Noun
Japanese Meaning
整数 n に対し、素数 p の最高冪（pのべき乗）が n を割るときの指数。例として、n = 48 のとき、2の最高冪が 2^4 = 16 であるので、この指数は 4 となる。 / 整数 n に含まれる素数 p の最大のべき指数。 / 整数 n に対して、n が素数 p のどの程度のべきで割り切れるかを表す指数
（ plural ）
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(number theory) Of a positive integer n, the exponent of the highest power of p that divides n. Often denoted νₚ(n). For example, ν₂(48)=4.
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p-adic order
To determine the p-adic order of n, factor n and count the exponent of p in its prime factorization.
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To determine the p-adic order of n, factor n and count the exponent of p in its prime factorization.
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