Re: JSH: Finally! They're caught.

On Mar 29, 10:27 am, Enrico <ungerne...@xxxxxxx> wrote:
On Mar 29, 10:48 am, JSH <jst...@xxxxxxxxx> wrote:



Now readers can finally see clearly what I've had to face for years:
some of those among you are anti-knowledge.

It has been so frustrating watching these people get away with it for
years.  And now the result that proves my point by how they react to
it.

Notice, they have all the warnings too!!!  Yet they still are fighting
it.  That is telling.

It is such a beautiful mathematical result too.  A family of three
equations connected to Pell's Equation, where primes come in as well
with D being prime, where they are EASIER to solve.

That creates a story where none of the old lies and manipulating
techniques they use can hold.

But some of them are trying anyway which is an expression of contempt
for you.

I don't think they see most of you as being anything but their tools.

They've ruled you for so long that they have no respect for your
intelligence.

Yup.  They've RULED you.  That's why they fight so hard.

You have been slaves in mind, if not in body.

You have been servants to a class of people who have nothing but
contempt for you.

James Harris

=======================================================================

It is such a beautiful mathematical result too.  A family of three
equations connected to Pell's Equation, where primes come in as well
with D being prime, where they are EASIER to solve.

Given:  29718^2 - 61*3805^2 = -1

Show me how your equations are used to find
a solution to the more difficult:

X^2 -61*Y^2 = 1

                          Enrico

Intriguingly you can figure out that the negative Pell's Equation
alternate must be used, as

sqrt(61k^2 -1), requires that 61k^2 = 8m - 3, so

k = sqrt((8m-3)/61)

so 8m = 3 mod 61. Anyone know the modular inverse of 8 mod 61?

Someone bored can see how long the search is to find m that works, and
see how much more quickly, even without continued fractions, the
problem could have been solved.


James Harris
.

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