Problem: Its Diwali time and little Roy thought of an interesting design for Rangoli.
He created an N x N grid. Roy fills some of the cells of grid with red color.

Cell located at ith row and jth column is colored if i+j is prime. Consider Zero-based numbering of grid. (See Sample Test Case Explanation for clarification)

Roy wants to know how many cells he will have to color given the size of grid N.

Input:

One integer indicating size of grid N

Output:

Print a single integer, number of cells Roy will have to color. Since answer can be very large output it modulo 1000000007

Constraints:

1 ≤ N ≤1000000

Sample Test Case Explanation:SAMPLE INPUT
3

SAMPLE OUTPUT
5

Explanation

As shown in the image above, five cells (0,2), (1,1), (1,2), (2,0), (2,1) are colored red because for (i,j) i+j for these cells results into a prime number.

Solution (in PYTHON):

Solution:
def sieve(n):
    is_prime = [True] * (n+1)
    is_prime[0] = is_prime[1] = False
    for i in range(2, n+1):
        if is_prime[i]:
            for j in range(i+i, n+1, i):
                is_prime[j] = False
    return is_prime

n = int(raw_input())
is_prime = sieve(n+n)
total = 0
for i in range(n):
    if is_prime[i]:
        total += i+1
nn1 = n+n-1
for i in range(n, nn1):
    if is_prime[i]:
        total += nn1 - i

print total % 1000000007