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- ...math> for which the sum <cmath>U=\sum_{n=1}^{2023}\left\lfloor\dfrac{n^{2}-na}{5}\right\rfloor</cmath> is an integer strictly between <math>-1000</math> U & \leq \sum_{n=1}^{2023} \frac{n^2 - na}{5} \\10 KB (1,574 words) - 20:24, 13 June 2024
- .... A grasshopper starts from <math>P_0</math> and turns around the triangle as follows. From <math>P_0</math> the grasshopper jumps to <math>P_1</math>, w <cmath> \sum_{i=1}^{n}(x_i^2+(a-x_i)^2)= na^2 </cmath>3 KB (483 words) - 13:43, 4 December 2019
- ...h> such that <math>\frac{13!}{m}</math> is a perfect square can be written as <math>2^a3^b5^c7^d11^e13^f,</math> where <math>a,b,c,d,e,</math> and <math> ...math> for which the sum <cmath>U=\sum_{n=1}^{2023}\left\lfloor\dfrac{n^{2}-na}{5}\right\rfloor</cmath> is an integer strictly between <math>-1000</math>7 KB (1,154 words) - 12:54, 20 February 2024
- ...math> and <math>N</math> with radiuses measuring <math>MA</math> and <math>NA</math> respectively. Then extend the lines <math>AM</math> and <math>AN</m ...> that passes through <math>A</math> and we can now start our construction as follows:5 KB (854 words) - 09:41, 23 December 2023