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:
from math import sqrt
inp=input()
matrix=inp*inp
n=inp-1
def func(n):
    l = range(3, n + 1, 2) 
    for b in range(len(l)):
        if l[b] is None:
            continue
        if l[b] > sqrt(n):
            break
 
        for i in range(b + (b + 1) * l[b], len(l), l[b]):
            l[i] = None
    l.insert(0,2)
    return filter(None, l)
answer=func(2*n)
c=0
if n<1:
	print 0
else:
	for item in answer:
		if item<=n:
			c=c+(item+1)
		else:
			c=c+(2*n-item+1)
			
	print c%(10**9+7)