Category: Arithmetic

Question Number 192367 by Rupesh123 last updated on 15/May/23 Answered by mehdee42 last updated on 15/May/23 $$t_r=r-\frac{3}{2}\Rightarrow t_{r+1}=r-\frac{1}{2}\mathrm{\&}{t}_{r+2}=r+\frac{1}{2}\mathrm{\&}{t}_{r+3}=r+\frac{3}{2}$$$$\Rightarrow{t}_{{r}} {t}_{{r}+\mathrm{1}} {t}_{{r}+\mathrm{2}}…

Question Number 192331 by Mingma last updated on 14/May/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 192208 by Shlock last updated on 11/May/23 Answered by witcher3 last updated on 11/May/23 $$\Rightarrow \mathrm{\forall }(7\mathrm{k}+\mathrm{r})\in \mathbb{N}\Rightarrow \mathrm{\exists }(\mathrm{a},\mathrm{b},\mathrm{c})\in [7\mathrm{k}+\mathrm{r},7\mathrm{k}+\mathrm{r}+6]$$$$\mathrm{r}\in \{0,1,2,3,4,5,6\}$$$$\mathrm{a}\equiv \mathrm{r}+1\left[7\right];\mathrm{a}=7\mathrm{k}+\mathrm{r}+1$$$$\mathrm{b}\equiv \mathrm{r}+2\left[7\right];\mathrm{b}=7\mathrm{k}+\mathrm{r}+2$$$$\mathrm{c}\equiv\mathrm{r}+\mathrm{4}\left[\mathrm{7}\right];\mathrm{c}=\mathrm{7k}+\mathrm{r}+\mathrm{4}…

Question Number 61096 by Arthur El-bomart last updated on 29/May/19 $$\mathrm{\forall }a,n\in N:\mid a-n\mid =1poura,n⩾3$$$$a^m\equiv 1modn(\ast )$$$$posons:m=n-1\left({\ast }^{\prime }\right)$$$$subtituonscettevaleurdans(\ast ).$$$$ona:a^{n-1}\equiv 1modn.Maisn{n}^{\prime }estpasforcementpremier.$$$$Testdeprimalite$$$$\forall\:{n}\:\in\:{N},\:{n}\:\geqslant\mathrm{3}.…

Question Number 60853 by Tony Lin last updated on 26/May/19 $$\sqrt{5-12i}+\sqrt{5+12i}=?$$ Answered by tanmay last updated on 26/May/19 $$\sqrt{9-4-12i}+\sqrt{9-4+12i}$$$$\sqrt{\left(\mathrm{3}−\mathrm{2}{i}\right)^{\mathrm{2}} }\:+\sqrt{\left(\mathrm{3}+\mathrm{2}{i}\right)^{\mathrm{2}} }\:…