Category: Number Theory

Question Number 207436 by CrispyXYZ last updated on 15/May/24 $$a,b\in {\mathbb{N}}_{+},\frac{b+1}{a}+\frac{a+1}{b}\in \mathbb{Z}.\mathrm{Prove}\mathrm{that}$$$$(a,b)⩽\sqrt{a+b.}$$ Commented by A5T last updated on 15/May/24 $$Whatismeantby(a,b)?$$…

Question Number 207060 by efronzo1 last updated on 05/May/24 $$\downharpoonleft \underset{―}{}$$ Commented by mr W last updated on 05/May/24 $$ithinkyoumean{a}_{n+2}.$$ Answered…

Question Number 206999 by efronzo1 last updated on 03/May/24 $$\mathrm{Prove}\mathrm{that}{6}^{20}-1=0\left(\mathrm{mod}7\right)$$ Commented by Frix last updated on 03/May/24 $$\mathrm{Prove}\mathrm{that}{n}^{2k}-1=0\left(\mathrm{mod}(n+1)\right):$$$${n}^{\mathrm{2}{k}} −\mathrm{1}=\left({n}+\mathrm{1}\right)\underset{{j}=\mathrm{1}}…

Question Number 205922 by cortano12 last updated on 03/Apr/24 $$x=2\left(mod7\right)$$$$x=3\left(mod4\right)$$$$x=?$$ Answered by Rasheed.Sindhi last updated on 03/Apr/24 $$\:\:\:{x}\:=\:\mathrm{2}\:\left({mod}\:\mathrm{7}\right)\:\wedge\:{x}=\mathrm{3}\:\left({mod}\:\mathrm{4}\right) \…

Question Number 203509 by Fridunatjan08 last updated on 20/Jan/24 $$Findthevalueof:$$$$\underset{n=1}{\prod ^{\mathrm{\infty }}}\frac{2^n+1}{2^n-1}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com