Last Updated
：2025/12/07
Brocard's conjecture
Proper noun
Japanese Meaning
（数論）n ≥ 2 の任意の n に対して、第 n 番目の素数（pₙ）の2乗と、第 n+1 番目の素数（pₙ₊₁）の2乗の間に、少なくとも4つの素数が存在するという予想。
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(number theory) The conjecture that there are at least four prime numbers between (pₙ)² and (pₙ₊₁)², where pₙ is the nth prime number, for every n ≥ 2.
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Brocard's conjecture
Despite extensive computational checks for small primes, Brocard's conjecture remains unproven.
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Despite extensive computational checks for small primes, Brocard's conjecture remains unproven.
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