TITLE: What is the ratio of number of prime to number of natural numbers
QUESTION [8 upvotes]: $\Bbb{P}$ is the count of prime numbers in $\Bbb{Z}$
And so, $\Bbb{Z}-\Bbb{P}=NP$ is the count of non-prime numbers in $\Bbb{Z}$
what is the answer of this equation: $\Bbb{P} / NP$
I thought that question and I made that proof, if I'm mistake please correct me.
$E=$Even, $O=$Odd
$1, 2, 3, 4, \cdots \Bbb{Z}$
$O, E, O, E, \cdots$  
Clearly there is $\Bbb{Z}/2$ count of Even, and $\Bbb{Z}/2$ count of Odd numbers exist.
If any number in $\Bbb{Z}$ can write as $M \times N$ it is non-prime number, otherwise it's prime number $M \times N$ can be one of that $4$ combinations:
$E \times E = E$
$E \times O = E$
$O \times E = E$
$O \times O = O$  
So, $M \times N$ is $\frac{3}{4}$ in ratio of Even numbers, and $\frac{1}{4}$ ratio of Odd.
Even Numbers: $\frac{3}{4}$ * NP
Odd Numbers:  $\frac{1}{4}$ * NP  
Even Numbers: $0 * P$
Odd Numbers : $P$  
There is equal counts of even and odd numbers, so;
$\frac{3}{4} * NP + 0 = 1/4 * NP + P$
$\frac{1}{4} * NP = P$
$NP = 2 * P$  
If this equation is true, then non-prime numbers are only double-times of prime numbers. Please check my proof.

REPLY [3 votes]: Wow, that was some of the most over garbled and over explained thinking I've seen, no wonder you got lost. I'm thinking this was put here as a troll!
You eventually determined that prime numbers are always an odd number.
"1/2" at the most "1/3" at what point is it "1/4" at what point is it "1/5". 
You didn't flesh out how often an odd number is a prime number. This is the only critical part of determining the "Diminishing" ratio and you simply skipped it.
Please think beyond what you think you've learnt and actually process what you're doing.
You can't rely on pre-formulated deductions and then go around asking other people for the answer with out understanding where it came from.
Knowledge is empty without comprehension. And it's obvious you're not comprehending what it is you're asking for.
Cheers.
PS. In determining this ratio, you also determine why bigger machines are less efficient and why quad core processors work better on 4 separated streams as opposed to one task or why 4 wheels of a car can't hold 4 times the weight 1 wheel can.