: Mathematics: Legendre's conjecture

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Legendre's conjecture

Legendre's conjecture, proposed by Adrien-Marie Legendre, states that there is a prime number between ${\\displaystyle n^{2}}$ and ${\\displaystyle (n+1)^{2}}$ for every positive integer ${\\displaystyle n}$ . The conjecture is one of Landau's problems (1912) on prime numbers; as of 2023, the conjecture has neither been proved nor disproved.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Legendre%27s_conjecture)

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