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Brocard's conjecture

In number theory, Brocard's conjecture is the conjecture that there are at least four prime numbers between (p_n)² and (p_n+1)², where p_n is the n^th prime number, for every n ≥ 2. The conjecture is named after Henri Brocard. It is widely believed that this conjecture is true. However, it remains unproven as of 2022.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Brocard%27s_conjecture)

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