Category: Number Theory

Question Number 13584 by Tinkutara last updated on 21/May/17 $$\mathrm{Calculate}{19}^{93}\left(\mathrm{mod}81\right).$$ Commented by RasheedSindhi last updated on 22/May/17 $$\mathrm{Using}$$$$\left(\mathrm{1}+\mathrm{x}\right)^{\mathrm{n}} \equiv\mathrm{1}+\mathrm{nx}\left(\mathrm{mod}\:\mathrm{y}\right) \…

Question Number 13141 by tawa tawa last updated on 15/May/17 Commented by RasheedSindhi last updated on 15/May/17 $$\mathrm{Mr}\mathrm{tawa}\mathrm{tawa},\mathrm{you}\mathrm{are}\mathrm{requested}$$$$\mathrm{to}\mathrm{use}\mathrm{bigger}\mathrm{font}.\mathrm{I}\mathrm{felt}\mathrm{much}$$$$\mathrm{difficulity}\mathrm{to}\mathrm{read}\mathrm{this}\mathrm{question}.$$$$\left(\mathrm{I}\:\mathrm{made}\:\mathrm{screen}\:\mathrm{shot}\:\mathrm{of}\:\mathrm{your}\:\mathrm{question}\:\right. \…

Question Number 13102 by tawa tawa last updated on 14/May/17 $$\mathrm{Find}\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{the}\mathrm{nth}\mathrm{term}:1^6+2^6+3^6+4^6+\dots +{\mathrm{n}}^6$$ Commented by tawa tawa last updated on 14/May/17…

Question Number 425 by 123456 last updated on 25/Jan/15 $$x^2+y^3=z^4\mathrm{have}\mathrm{integer}\mathbf{solutions}?$$ Answered by prakash jain last updated on 02/Jan/15 $$\mathrm{Assuming}\:\mathrm{we}\:\mathrm{are}\:\mathrm{looking}\:\mathrm{for}\:+\mathrm{ve} \…

Question Number 403 by 123456 last updated on 25/Jan/15 $$\frac{1}{3^{2005}}\mathrm{have}\mathrm{how}\mathrm{many}\mathrm{digits}\mathrm{in}\mathrm{periodic}\mathrm{part}?$$ Answered by prakash jain last updated on 30/Dec/14 $$3^{2003}\mathrm{digits}\mathrm{will}\mathrm{be}\mathrm{present}\mathrm{in}\mathrm{periodic}\mathrm{part}.$$$$\mathrm{10}^{{n}}…