Category: Arithmetic

Question Number 146130 by Huy last updated on 11/Jul/21 $$(2^{\mathrm{k}}+1)(3^{\mathrm{k}}+2)\equiv 0(\mathrm{mod}\mathrm{k}+5)$$$$\min \mathrm{k}=?(\mathrm{k}\in \mathbb{N})$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 145982 by ArielVyny last updated on 10/Jul/21 $$\sum _{n⩾0}{(-\frac{1}{81})}^n\mathrm{\Gamma }(3n+3)=??$$ Answered by Olaf_Thorendsen last updated on 10/Jul/21 $$\mathrm{diverges}$$ Terms…

Question Number 80230 by M±th+et£s last updated on 01/Feb/20 Answered by mind is power last updated on 03/Feb/20 $$letf\left(z\right)=\frac{\pi cot\left(\pi z\right)}{1+z^4},MainideeuseResidusTh$$$$andevaluateIntegralesinTwoways$$$${pols}\:{of}\:{f}\:{are}\:\:\:{n}\in\mathbb{Z}\cup\left\{{e}^{{i}\left(\frac{\mathrm{1}+\mathrm{2}{k}}{\mathrm{4}}\right\}\pi} ,{k}\in\left\{\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3}\right\}\right\}…

Question Number 80206 by peter frank last updated on 01/Feb/20 Commented by mr W last updated on 01/Feb/20 $$thelanguageofthequestionisnot$$$$tounderstand.$$$$pleasemakethequestionclear!what$$$${exact}\:{is}\:{to}\:{prove}?\:…

Question Number 14564 by tawa tawa last updated on 02/Jun/17 $$\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{last}2\mathrm{digits}\mathrm{of}{2}^{613}$$ Commented by tawa tawa last updated on 02/Jun/17 $$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.$$ Commented…