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I found two amazing PDFs that I would like to share with you. https://arxiv.org/pdf/1502.03501.pdf In this paper, every number from 1 to 1000 is written out using each of the nine digits available and only the five basic functions (+, -, x, /, and powers), plus parentheses for grouping. For example: To get the number 422 using only the number 7: 422 = 7 × 7 × 7 + 77 + (7 + 7)/7. To get the number 814 using only the number 2: 814 = 22 × (2 + 2 + 2)2 +22. https://arxiv.org/pdf/1302.1479.pdf In this paper, every number from 1 to 11,111 (except 10,958 in ascending order) is created using each digit from 1-9 in both ascending and descending order. For example: 2785 in ascending order = 1 + 23 × 4 × 5 × 6 + 7 + 8 + 9. 5296 in descending order = (98 × 7 + 654 × 3) × 2 × 1. Pretty nifty, I thought.
