Rechenkraft.net e.V.

Please explain how did you get it? And stop this style/shouting. I think I answered/asked in a normal way.

Man, how did you get it?

First, and Man, why did you decide that these are only 2 possible cases of a, b and c representation?
There're at least 8 different cases: Second, How did you get this last equation?

Yes, I've got a mistake.
m = 11, n = 2
2*m*n = 2*11*2 = 44 = a
So, it nothing changes.
All other sentences remain the same: you cannot arbitrarily swap values of b to a without swap values of e and f.

Lets (a, b, c) = (44, 117, 240) (d, e, f) = (125, 244, 267) a^2 + b^2 = d^2 a^2 + c^2 = e^2 b^2 + c^2 = f^2 44^2 + 117^2 = 125^2 44^2 + 240^2 = 244^2 117^2 + 240^2 = 267^2 (44, 117, 125) is a primitive Pythagorian triple and can be expressed by (m, n) as m = 11, n = 2 m^2 - n^2 = 11^2 - 2^2 = 117 = ...

When the Pythagorean triple has m^2-n^2 > 2mn then a = 2mn, b = m^2-n^2 and all your "strong" proof falls down.

It seems like you try to prove if c^2+b^2=f^2 for integer c, b and f, than c^2-b^2 must be a full square of integer X, because "there was no reason to make X non-integer". This is a complete nonsense. X could be integer or real, depends on. The question is equal to solution of the system of Diophant...

Zak hat geschrieben:x3mEn
there was no reason to make X non-integer. What made X become non-integer? Nothing.

You muss "could" and "should".
Yes, theoretically X could be integer, but does it should be? No.
At least until you (or someone else) prove that it shoud.

Try b = 1443 c = 1800 d = 1595 e = 1924 f = 2307 g = 2405 and check (5) and (6): 2405 = sqrt(1595^2 + 1800^2) — true 1924 = sqrt(1595^2 + (1800^2 - 1443^2)) — true x^2 = c^2 - b^2 = 1800^2 - 1443^2 = 1157751 x = sqrt(1157751) = 3*sqrt(128639) ∉ Z and I don't see any reason why x should be necessaril...

both claim only 600, but granted 1200. As I have already said above, granted credits (for each of both) = 2*min(claimed credits by both) For instance: http://www.rechenkraft.net/yoyo//workunit.php?wuid=39448720 host=434292 claimed 596.74 host=429410 claimed 695.48 granted credits = 2*min(596.74, 69...

I think score system for perfect cuboid is bugged for Ubuntu and someone (deliberately or not?) abusing it. How on earth Intel(R) Atom(TM) CPU Z3735F @ 1.33GHz can outperform Intel(R) Xeon(R) CPU X5560 @ 2.80GHz ? If u and your wingman run special version of Ubuntu/BOINC u get 1200 points instead o...