直線數
外觀
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111,123,135,147,159,210,222,234,246,258,321,333,345,357,369,420,432,444,456,468,531,543,555,567,579,630,642,654,666,678,741,753,765,777,789,840,852,864,876,888,951,963,975,987,999,1111,1234,1357(OEIS數列A135643)。[2]
直線質數
[編輯]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11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,4567,76543,23456789,1111111111111111111,11111111111111111111111(OEIS數列A167847)。[3]
註釋
[編輯]參考資料
[編輯]- ^ 1.0 1.1 straight-line numbers. NUMBERS APLENTY. [2020-07-17]. (原始內容存檔於2021-02-25).
- ^ Sloane, N.J.A. (編). Sequence A135643. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N.J.A. (編). Sequence A167847. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.