In the previous work, 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 and division. The same work is extended natural numbers up to 10000. Below are links for download the work and some examples.
Link for download the work:
- I.J. TANEJA, Single Digit Representations of Numbers From 1 to 5000,
- I.J. TANEJA, Single Digit Representations of Numbers From 5001 to 10000,
- I.J. TANEJA, Single Digit Representations of Numbers From 10001 to 15000;
- I.J. TANEJA, Single Digit Representations of Numbers From 15001 to 20000;
Also see videos by Matt Parker – Numberphile:
(i) The 10,958 Problem – Numberphile – M. Parker – 2017
(ii) A 10,958 Solution – Numberphile – M. Parker – 2017
Examples:
Previous works:
- I.J. TANEJA, Single Digit Representations of Natural Numbers, Feb. 2015, pp.1-55, http://arxiv.org/abs/1502.03501 – Also in RGMIA Research Report Collection, 18(2015), Art. 15, pp.1-55. http://rgmia.org/papers/v18/v18a15.pdf
- I.J. TANEJA, Single Digit Representations of Numbers From 1 to 2500, 2018
- I.J. TANEJA, Single Digit Representations of Numbers From 2501 to 5000, 2018
- I.J. TANEJA, Single Digit Representations of Numbers From 5001 to 7500, 2018
- I.J. TANEJA, Single Digit Representations of Numbers From 7501 to 10000, 2018.
Numbers Magic 
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