import std.conv, std.functional, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.numeric, std.range, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } enum LIM = 4 * 10^^5; int N; void main() { auto isnp = new bool[LIM]; int[] primes; foreach (p; 2 .. LIM) { if (!isnp[p]) { primes ~= p; for (int n = 2 * p; n < LIM; n += p) { isnp[n] = true; } } } stderr.writeln(primes.length); stderr.writeln(primes[0 .. 10]); stderr.writeln(primes[$ - 10 .. $]); try { for (; ; ) { N = readInt(); long ans; auto cnt = new long[LIM]; foreach (ib, b; primes) { if (b > N) { break; } foreach (d; primes[ib .. $]) { if (d - b > N + N) { break; } ans += cnt[d - b]; } foreach (a; primes[0 .. ib]) { ++cnt[a + b]; } } writeln(ans); } } catch (EOFException e) { } }