Category: Number Theory

Question Number 102652 by Dwaipayan Shikari last updated on 10/Jul/20 $$\mathrm{2}+\mathrm{18}+\mathrm{156}+\mathrm{1388}+…{n}\:{terms} \\ $$ Commented by Dwaipayan Shikari last updated on 10/Jul/20 $${T}_{{n}} ={n}.\mathrm{7}^{{n}−\mathrm{1}} +{n}^{\mathrm{2}} \\…

Question Number 102588 by bobhans last updated on 10/Jul/20 $${solve}\:\mathrm{109}{x}\:+\mathrm{103}{y}\:=\:\mathrm{5}\:{for}\:{x},{y}\:{are}\:{integer} \\ $$ Commented by mr W last updated on 10/Jul/20 $${see}\:{Q}\mathrm{44819} \\ $$ Commented by…

Question Number 102467 by bemath last updated on 09/Jul/20 $${hello}\:{friends},\:{is}\:{zero}\:{an}\: \\ $$$${even}\:{or}\:{odd}\:{number}\:{or}\:{not}\: \\ $$$${both}? \\ $$ Commented by Dwaipayan Shikari last updated on 09/Jul/20 $${even}…

Question Number 167650 by Rasheed.Sindhi last updated on 22/Mar/22 $$\left.\begin{matrix}{\:\:\:\:\:\:\:\:\:{a}^{\mathrm{2}} +{b}^{\mathrm{2}} ={c}^{\mathrm{2}} }\\{{a}+{b}+{c}=\mathrm{1000}}\end{matrix}\right\};\:\overset{?} {{a}},\:\:\overset{?} {{b}},\:\:\overset{?} {{c}}\in\mathbb{Z} \\ $$$${Q}#\mathrm{167533}\:\mathrm{reposted} \\ $$ Commented by Ari last updated…

Question Number 167189 by rexford last updated on 09/Mar/22 Commented by MJS_new last updated on 09/Mar/22 $${a}<{b}\wedge{c}<{d}\:\Rightarrow\:\left({a}+{c}\right)<\left({b}+{d}\right) \\ $$$${x}<{y}\wedge−{x}<−{y}\:\Rightarrow\:\left({x}−{x}\right)<\left({y}−{y}\right)\:\Rightarrow\:\mathrm{0}<\mathrm{0}\:\mathrm{false} \\ $$ Terms of Service Privacy…