{"id":1073,"date":"2022-03-06T17:01:27","date_gmt":"2022-03-06T20:01:27","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=1073"},"modified":"2022-03-06T19:13:16","modified_gmt":"2022-03-06T22:13:16","slug":"single-digits-representations-of-numbers-from-1-to-20000","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=1073","title":{"rendered":"Single Digits Representations of Numbers from 1 to 20000"},"content":{"rendered":"\n

In the previous work<\/a>, we established representations of numbers numbers from 0 to 1000 using only single digit, i.e., in terms of  1, 2, 3, 4, 5, 6, 7, 8 and 9. This is done only using basic operations: addition, subtraction, multiplication, potentiation<\/em> and division<\/em>.<\/strong> The same work is extended natural numbers up to 10000.  Below are links for download the work and some examples. <\/p>\n\n\n\n

Link for download the work:<\/p>\n\n\n\n

  1. I.J. TANEJA<\/strong>, Single Digit Representations of Numbers From 1 to 5000<\/a>, <\/li>
  2. I.J. TANEJA<\/strong>, Single Digit Representations of Numbers From 5001 to 10000<\/a>, <\/li>
  3. I.J. TANEJA<\/strong>, Single Digit Representations of Numbers From 10001 to 15000<\/a>;<\/li>
  4. I.J. TANEJA<\/strong>, Single Digit Representations of Numbers From 15001 to 20000<\/a>;<\/li><\/ol>\n\n\n\n

    Also see videos by Matt Parker \u2013 Numberphile:<\/p>\n\n\n\n

    (i) The 10,958 Problem<\/a> \u2013 Numberphile \u2013 M. Parker \u2013 2017
    (ii)      A 10,958 Solution<\/a> \u2013 Numberphile \u2013 M. Parker \u2013 2017<\/p>\n\n\n\n

    Examples:<\/strong><\/p>\n\n\n\n

    \"SD1\"<\/figure><\/div>\n\n\n\n

    Previos works:<\/strong><\/p>\n\n\n\n

    1. I.J. TANEJA<\/strong>, Single Digit Representations of Natural Numbers, Feb. 2015, pp.1-55,  http:\/\/arxiv.org\/abs\/1502.03501<\/a>.
      Also in RGMIA Research Report Collection, 18(2015), Art. 15, pp.1-55.        http:\/\/rgmia.org\/papers\/v18\/v18a15.pdf<\/a><\/li>
    2. I.J. TANEJA<\/strong>, Single Digit Representations of Numbers From 1 to 2500<\/a>, 2018<\/li>
    3. I.J. TANEJA<\/strong>, Single Digit Representations of Numbers From 2501 to 5000<\/a>, 2018<\/li>
    4. I.J. TANEJA<\/strong>, Single Digit Representations of Numbers From 5001 to 7500<\/a>, 2018<\/li>
    5. I.J. TANEJA<\/strong>, Single Digit Representations of Numbers From 7501 to 10000<\/a>, 2018.<\/li><\/ol>\n\n\n\n

      See also patterns in single digit:<\/p>\n\n\n\n