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Omni-MATH / Does there exist an integer such that its cube is equal to 3n²+3n+7, where n is an integer.

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problem

Does there exist an integer such that its cube is equal to 3n2+3n+7,3n^2 + 3n + 7, where nn is an integer.
Plain-text mathematical notation (without MathML)
Does there exist an integer such that its cube is equal to 3n²+3n+7, where n is an integer.
Original LaTeX notation
Does there exist an integer such that its cube is equal to $3n^2 + 3n + 7,$ where $n$ is an integer.

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