Solve the programming task below in a Python markdown code block.
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A tuple $(a, b, c)$ is considered good if it consists of three prime numbers $a$, $b$ and $c$ such that $a < b < c ≤ N$ and $a + b = c$.

Two tuples are considered different if they differ in at least one position. Given $N$, find the number of good tuples that can be formed by integers from $1$ to $N$.

------  Input ------
The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
The following $T$ lines contain a single integer $N$.

------  Output ------
For each test case, print a single line containing one integer — the number of good tuples which can be formed using integers from $1$ to $N$.

------  Constraints ------
$1 ≤ T ≤ 10^{5}$
$1 ≤ N ≤ 10^{6}$

----- Sample Input 1 ------ 
2

3

6
----- Sample Output 1 ------ 
0

1
----- explanation 1 ------ 
Example case 1: There are no good tuples. $(1, 2, 3)$ is not a good tuple since $1$ is not prime.

Example case 2: $(2, 3, 5)$ is a good tuple since $2$, $3$ and $5$ are prime and $2 + 3 = 5$.