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Definition: Even and Odd Numbers

An integer $n$ is called even, if it is divisible by $2$ (i.e. $2\mid n$), otherwise (i.e. if $2\not\mid n$) it is called odd.

Examples

  • $0,2,10,-20,250,\ldots$ are even.
  • $1,-1,3,-3,255,-33,\ldots$ are odd.

| | | | | created: 2019-03-31 00:26:06 | modified: 2019-05-12 08:47:26 | by: bookofproofs | references: [1272]

1.Proposition: Every Integer Is Either Even or Odd

2.Proposition: Product of Two Even Numbers

3.Proposition: Product of Two Odd Numbers

4.Proposition: Product of an Even and an Odd Number


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Bibliography (further reading)

[1272] Landau, Edmund: “Vorlesungen ├╝ber Zahlentheorie, Aus der Elementaren Zahlentheorie”, S. Hirzel, Leipzig, 1927

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