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直線數

直線數(英語:straight-line numbers)是大於99且其各位數構成等差級數的整數,例如,12345(公差為1),666(公差為0)或852(公差為-3)。[1][註 1]

儘管存在無限多個直線數,但其中只有96個不是純位數,最大的是9876543210。[1]

首幾個直線數是111123135147159210222234246258321333345357369420432444456468531543555567579630642654666678741753765777789840852864876888951963975987999111112341357OEIS數列A135643)。[2]

直線質數

同時是直線數與質數的數稱為直線質數。首幾個直線質數是11131719232931374143475359616771737983899745677654323456789111111111111111111111111111111111111111111OEIS數列A167847)。[3]

註釋

  1. ^ 部分來源(如整數數列線上大全)認為直線數亦可為二位數,但通常只討論大於99者。

參考資料

  1. ^ 1.0 1.1 straight-line numbers. NUMBERS APLENTY. [2020-07-17]. (原始内容存档于2021-02-25). 
  2. ^ Sloane, N.J.A. (编). Sequence A135643. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
  3. ^ Sloane, N.J.A. (编). Sequence A167847. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 
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