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 Dec29 revised regarding Pigeonhole principle corrected spelling Dec29 suggested approved edit on regarding Pigeonhole principle Dec29 revised What are the properties of a prime number? Added another reference Dec29 comment What are the properties of a prime number? I am sure there are many other properties and I guess they are too many to list. Dec29 answered What are the properties of a prime number? Dec28 revised $\sin 1^\circ$ is irrational but how do I prove it in a slick way? And $\tan(1^\circ)$ is … deleted 4 characters in body Dec28 answered $\sin 1^\circ$ is irrational but how do I prove it in a slick way? And $\tan(1^\circ)$ is … Dec27 accepted Graph theory resource for mathematical Olympiads Dec26 asked Graph theory resource for mathematical Olympiads Dec24 accepted Proving that an additive function $f$ is continuous if it is continuous at a single point Dec24 comment Proving that an additive function $f$ is continuous if it is continuous at a single point Thank you.That's what I meant. Dec24 asked Proving that an additive function $f$ is continuous if it is continuous at a single point Nov13 accepted Finding positive real numbers $x$,$y$ and $z$ IMO Shortlist 1995 A4 Nov13 comment Finding positive real numbers $x$,$y$ and $z$ IMO Shortlist 1995 A4 Since, the moderators haven't objected to this link, I am accepting the solution.Thanks. Nov13 comment Using recurrences to solve $3a^2=2b^2+1$ Thank you very much for the links.I should be able to "take over" from here.Thanks again for searching that for me.(I should have probably done that myself instead of troubling people here) Nov13 comment Using recurrences to solve $3a^2=2b^2+1$ So, it turns out I don't even know how to solve the Pell's equation.! Nov13 comment Using recurrences to solve $3a^2=2b^2+1$ Page number 154, solution to Problem 137 in the number theory section. Nov13 asked Using recurrences to solve $3a^2=2b^2+1$ Nov13 comment Finding positive real numbers $x$,$y$ and $z$ IMO Shortlist 1995 A4 And I did not mean you or anyone, I was only referring to the lack of responses,it being possibly not suited to the members' taste here(My solution involved a bit of calculation.Who wants such stupid solutions?:))I have seen a lot of really tough problems having been solved easily by people here on math.se.And I did not refer to kalva's page nor did I reject puresky's answer outrightly.I merely downvoted it to protest the copyrighted material.And since you say so, I will not ask any questions related to contests henceforth.And you may keep the downvote if you feel like. Nov13 comment Finding positive real numbers $x$,$y$ and $z$ IMO Shortlist 1995 A4 I don't think the comments section allows me to type it out.(Mine was going along the lines specified in Puresky's link except that I deviated from it and found a similar solution which I hate to talk about)But, neither should I answer my own question.I asked my question to see if there exists a slicker, better solution.