#rubyの引数, 代入は参照渡し. 参照透明性とは何だったのか…
#このコードは定数倍が重いのでTLEします

def setPrime (is_prime, primes, n)
	for i in 2..n do
		is_prime[i] = true
	end
	
	for i in 2..n do
		if is_prime[i] then
			j = 2 * i
			while j <= n do
				is_prime[j] = false
				j += i
			end
		end
	end
	
	for i in 2..n do
		if is_prime[i] then
			primes.push(i);
		end
	end
end

def initCnts (cnts, n)
	for i in 0..n do
		cnts[i] = 0
	end
end

#ここからmain
n = STDIN.gets.chop.to_i

is_prime = Array.new
primes   = Array.new
cnts     = Array.new

setPrime(is_prime, primes, 3 * n)
initCnts(cnts, 3 * n)

ans = 0

for c in primes do
	if (c > n) then
		break
	end
	
	for sum in primes do
		if sum <= c then
			next
		end
		
		ans += cnts[sum - c]
	end
	
	for a in primes do
		if a >= c then
			break
		end
		
		cnts[a + c] += 1
	end
end

puts(ans)