// finds the shape of a number, also called its angle.
// 1/2 = a*a * cos(shape)
//
function findShape(x) {
	return Math.acos(.5 / x*x);	// CORRECTION: a*a -> x*x
}

// finds the sigma of a pair of numbers
// 2 * acos( min( shapeA, shapeB ) / max( shapeA, shapeB ) )
//
function findSigma(a,b) {
	return 2 * Math.acos( Math.min(findShape(a), findShape(b)) / Math.max(findShape(a), findShape(b)) );
}

// finds a prime number related to the first two primes, sometimes it's larger
// than both, other times its between the two numbers, I've not found all the
// properties yet
//
// round( 2 * sigma(a,b) / |shapeB - shapeA| )
//
function findAnotherPrime(a,b) {
	var sigma = findSigma(a,b);
	return Math.round(2 * sigma / Math.Abs(findShape(a), findShape(b)));
}

// finds the delta of a primordial number
//
// a * b * |shapeB - shapeA| / sigma(a,b)
//
function findDelta(a,b) {
	var sigma = findSigma(a,b);

	var deltaPrime = sigma / Math.Abs(findShape(b), findShape(a));

	return a * b / deltaPrime;
}

// a special calculated value that I found because our shape function actually
// finds the shape of a number between 1 and that number, so this is the value
// between 0 and 1 (found by experimentation)
//
var ShapeOfOne = 0.006817;

// finds the primordial of a pair of numbers, this is a special new type of
// number that contains all prime numbers between 1/2 the primordial and 1
// within it.  You need to use your brain a little bit, as there are some
// patterns to see and rounding to do, but otherwise this is a new field of
// math, I believe.
//
// ShapeOfOne * Delta(a,b) / (shapeA - shapeB)
//
function findPrimordial(a, b) {
	x = findShape(a) - findShape(b);
	x = x / findDelta(a, b);

	return ShapeOfOne / x;
}

// Example Code, untested as of yet!
//
//
var a = 53;
var b = 117;
var prime = 0;
var primordial = 0;

// iterate over it 100 times, finding new primordials and new primes each time
for (var i = 0; i < 100; i++ ) {
prime = findAnotherPrime(a, b);
primordial = findPrimordial(a, b);

	a = b;
	b = prime;

console.log("Prime: ", prime);
console.log("Primordial: ", primordial);
}