Does $\frac{8k-1}{4}$ belongs to $\mathbb{Z}$ for some $k\in \mathbb{Z}$ ? or we can prove that this never belongs to $\mathbb{Z}$ ?
2026-03-31 03:29:03.1774927743
Does $\frac{8k-1}{4}$ belongs to $\mathbb{Z}$?
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Hint:
$$\frac{8k - 1}{4} = 2k - \frac 1 4$$