from collections import defaultdict

N = int(input())

array = [1]*(3*N+1)
array[0] = 0
array[1] = 0

prime_1 = []
prime_2 = []

i = 2
while i <= 3*N:
  if array[i]:
    for j in range(2*i, 3*N+1, i):
      array[j] = 0
    if 3 < i <= N:
      if i % 3 == 1:
        prime_1.append(i)
      elif i % 3 == 2:
        prime_2.append(i)
  i += 1

ans = 0

prime_1_1 = defaultdict(int)
for i in range(len(prime_1)):
  for j in range(i+1,len(prime_1)):
    prime_1_1[prime_1[i]+prime_1[j]] += 1

prime_2_2 = defaultdict(int)
for i in range(len(prime_2)):
  for j in range(i+1,len(prime_2)):
    prime_2_2[prime_2[i]+prime_2[j]] += 1

for s in prime_1_1:
  c = array[3+s]
  for j in prime_2:
    c += array[j+s]
  ans += c*prime_1_1[s]

for s in prime_2_2:
  c = array[3+s]
  for j in prime_1:
    c += array[j+s]
  ans += c*prime_2_2[s]

print(ans)