Category: Number Theory

Question Number 166601 by Rasheed.Sindhi last updated on 23/Feb/22 $$Whatistheconditionthat$$$$a\mathit{p}\mathit{a}\mathit{l}\mathit{i}\mathit{n}\mathit{d}\mathit{r}\mathit{o}\mathit{m}\mathit{e}-\mathit{n}\mathit{u}\mathit{m}\mathit{b}\mathit{e}\mathit{r}$$$$is\mathit{d}\mathit{i}\mathit{v}\mathit{i}\mathit{s}\mathit{i}\mathit{b}\mathit{l}\mathit{e}\mathit{b}\mathit{y}11?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 101043 by bobhans last updated on 30/Jun/20 $$\frac{1+\frac{1}{2^{11}}+\frac{1}{3^{11}}+\frac{1}{4^{11}}+\dots }{1-\frac{1}{2^{11}}+\frac{1}{3^{11}}-\frac{1}{4^{11}}+\dots }=?$$ Answered by john santu last updated on…

Question Number 166475 by Rasheed.Sindhi last updated on 20/Feb/22 $$\mathcal{F}indoutn\in \mathbb{N}$$$$suchthat$$$$n^2+nisdivisibleby30.$$ Commented by mr W last updated on 20/Feb/22…

Question Number 100733 by john santu last updated on 28/Jun/20 $$\mathrm{A}\mathrm{positive}\mathrm{integer}\mathrm{such}\mathrm{as}4334\mathrm{is}$$$$\mathrm{a}\mathrm{palindrome}\mathrm{if}\mathrm{it}\mathrm{reads}\mathrm{the}\mathrm{same}$$$$\mathrm{forwards}\mathrm{or}\mathrm{backwards}.\mathrm{What}\mathrm{is}$$$$\mathrm{the}\mathrm{only}\mathrm{prime}\mathrm{palindrome}\mathrm{with}\mathrm{an}$$$$\mathrm{even}\mathrm{number}\mathrm{of}\mathrm{digits}?$$ Commented by Rasheed.Sindhi last…

Question Number 35072 by Rasheed.Sindhi last updated on 15/May/18 $$\mathrm{An}\mathrm{n}-\mathrm{digit}\mathrm{decimal}\mathrm{number}\mathrm{has}\mathrm{been}$$$$\mathrm{conveerted}\mathrm{into}\mathrm{octal}\mathrm{number}.\mathrm{Say}\mathrm{it}$$$$\mathrm{has}\mathrm{m}\mathrm{digits}.\mathrm{What}\mathrm{are}\mathrm{possible}\mathrm{minimum}$$$$\mathrm{and}\mathrm{maximum}\mathrm{values}\mathrm{of}\mathrm{m}\mathrm{in}\mathrm{terms}\mathrm{of}$$$$\mathrm{n}?$$ Commented by candre last updated…