Last Updated
：2025/11/21
Chebyshev's theorem
Proper noun
Japanese Meaning
チェビシェフの定理とは、素数計数関数 π(x) が x/ln x と同じオーダーで増加するという定理です。すなわち、十分大きな x に対して、正の定数 c および C が存在し、c·(x/ln x) ≤ π(x) ≤ C·(x/ln x) となるという主張を示しています。
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The theorem that the prime counting function is of the same order of magnitude as x / ln x, i.e., for the prime counting function π, there are positive constants c and C such that:
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Chebyshev's theorem
Chebyshev's theorem was a breakthrough result that showed the prime counting function π(x) is of the same order of magnitude as x and provided the first effective bounds toward the prime number theorem.
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Chebyshev's theorem was a breakthrough result that showed the prime counting function π(x) is of the same order of magnitude as x and provided the first effective bounds toward the prime number theorem.
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