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→Related functions: deadlink can be fixed (see https://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/a-characterization-of-the-set-of-points-of-continuity-of-a-real-function) but seems too far off-topic to keep |
m q instead of p (both are correct, but we need q) |
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For all <math>x \in \mathbb Q,\;</math> there exist <math>p \in \mathbb Z</math> and <math>q \in \mathbb N</math> such that <math>\;x = p/q,\;</math> and <math>\gcd(p,\;q) = 1.</math>
Consider <math>x + n = (p + nq) / q</math>. If <math>d</math> [[divisor|divides]] <math>p</math> and <math>q</math>, it divides <math>p + nq</math>
and <math>
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