Last Updated
：2025/12/08
Cramér's conjecture
Proper noun
Japanese Meaning
(数論) 連続する素数間の間隔の大きさに関する予想。具体的には、n番目の素数 pₙ に対して、次の素数との間隔 pₙ₊₁ - pₙ が O((log pₙ)²) で抑えられるというものです。
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(number theory) An estimate for the size of gaps between consecutive prime numbers, stating that p_n+1-p_n=O(( log p_n)²), where pₙ denotes the nth prime number, O is big O notation, and log is the natural logarithm.
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Cramér's conjecture
Though unproven, Cramér's conjecture offers a striking prediction about how large gaps between consecutive primes can grow.
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Though unproven, Cramér's conjecture offers a striking prediction about how large gaps between consecutive primes can grow.
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