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===Even and odd numbers=== {{main|Even and odd numbers}} An '''even number''' is an integer that is "evenly divisible" by two, that is [[Euclidean division|divisible by two without remainder]]; an '''odd number''' is an integer that is not even. (The old-fashioned term "evenly divisible" is now almost always shortened to "[[divisibility|divisible]]".) Any odd number ''n'' may be constructed by the formula {{nowrap|''n'' {{=}} 2''k'' + 1,}} for a suitable integer ''k''. Starting with {{nowrap|''k'' {{=}} 0,}} the first non-negative odd numbers are {1, 3, 5, 7, ...}. Any even number ''m'' has the form {{nowrap|''m'' {{=}} 2''k''}} where ''k'' is again an [[integer]]. Similarly, the first non-negative even numbers are {0, 2, 4, 6, ...}.
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