diff --git a/pkgs/development/libraries/science/math/primecount/default.nix b/pkgs/development/libraries/science/math/primecount/default.nix
new file mode 100644
index 000000000000..7985b9d6dbd6
--- /dev/null
+++ b/pkgs/development/libraries/science/math/primecount/default.nix
@@ -0,0 +1,25 @@
+{ lib, stdenv, fetchFromGitHub, cmake, primesieve }:
+
+stdenv.mkDerivation rec {
+  pname = "primecount";
+  version = "7.2";
+
+  nativeBuildInputs = [ cmake ];
+
+  buildInputs = [ primesieve ];
+
+  src = fetchFromGitHub {
+    owner = "kimwalisch";
+    repo = "primecount";
+    rev = "v${version}";
+    sha256 = "sha256-/Cb/HkD4UQ9gXsRpvRiEuQBoRd0THxNHsBaAAa+CqQo=";
+  };
+
+  meta = with lib; {
+    description = "Fast prime counting function implementations";
+    homepage = "https://github.com/kimwalisch/primecount";
+    license = licenses.bsd2;
+    platforms = platforms.unix;
+    maintainers = teams.sage.members;
+  };
+}
diff --git a/pkgs/top-level/all-packages.nix b/pkgs/top-level/all-packages.nix
index c057511d2cb9..9a777e1512bb 100644
--- a/pkgs/top-level/all-packages.nix
+++ b/pkgs/top-level/all-packages.nix
@@ -19202,6 +19202,8 @@ with pkgs;
 
   prime-server = callPackage ../development/libraries/prime-server { };
 
+  primecount = callPackage ../development/libraries/science/math/primecount { };
+
   primesieve = callPackage ../development/libraries/science/math/primesieve { };
 
   prison = callPackage ../development/libraries/prison { };