Recent content by Aditya89

You can see that Orthodontist's solution is also one of these.

The solution Here's the solution. We have: k^2-a^2=b^2-1 (k+a)(k-a)=b^2+1 Then choose b such that b is even. This implies b^2+1 is odd. If b^2+1 is a prime, then put k+a=b^2+1 and k-a=1. You will get k&a. If b^2+1 is not a prime, then choose k+a and k-a as its two odd factors. Solving...

Hey, I read about arbitrary elements sometime ago. Could anybody tell me what affects the values of these? And I also read that some say that the values of these are fine-tuned by the Creator. What is the general take on that?

Excuse me, but how {1,1/2,1} is a subset of {0,1/2,1} in the above example?

Is e^pi rational? I seem to have heard from one of my tacher that research was going. How far we have gone?

Hey thanks For that!

One more way. x^2+2x=(x+1)^2-1. So, (x+1)^2=49 So, x+1=(+/-)7

y=log x means 10^y=x. So, y=10 means x=10^10

Hey guys, how do you prove that 'pi' is irrational? I think that it is related to infinite series? Is there any geometrical method?

Hey guys, u know how Euclid proved that primes r infinite. Now knowing that primes r infinite, if we take some primes p1, p2, p3,...,pn then will p1*p2*...*pn(+/-)1 always be prime?

Hey does anybody know how to create mathematical symbols while posting?

Sorry for the confusion! Sorry, a*b= k^2, k belongs to the naturals. Not that a*b=a. Really sorry! Thanks for the hint, Shmoe! I may be clser to the solution by an another method. I'll let you know if I get it. BTW, TPT is "to prove that". :wink:

Hey thanks Shmoe! Could you explain Dirichlet's statement(What's an analagous sum?) and proof, please? Aditya

Oh! I'm sorry for saying reals & rationals! It's integers and rationals! And why do you count only one proof?

I somewhere read that Euler proved that primes are infinite by proving that the series 1/2 +1/3 + 1/5 +... diverges. Can anybody tell the proof? Aditya