diff --git a/pkgs/applications/science/math/primecount/default.nix b/pkgs/applications/science/math/primecount/default.nix
new file mode 100644
index 00000000000..993092c4653
--- /dev/null
+++ b/pkgs/applications/science/math/primecount/default.nix
@@ -0,0 +1,51 @@
+{ lib
+, stdenv
+, fetchFromGitHub
+, cmake
+, primesieve
+}:
+
+stdenv.mkDerivation rec {
+  pname = "primecount";
+  version = "7.3";
+
+  src = fetchFromGitHub {
+    owner = "kimwalisch";
+    repo = "primecount";
+    rev = "v${version}";
+    hash = "sha256-hxnn1uiGSB6XRC7yK+SXTwTsJfjhemWXsMNhhL7Ghek=";
+  };
+
+  nativeBuildInputs = [ cmake ];
+
+  buildInputs = [ primesieve ];
+
+  cmakeFlags = [
+    "-DBUILD_LIBPRIMESIEVE=ON"
+    "-DBUILD_PRIMECOUNT=ON"
+    "-DBUILD_SHARED_LIBS=ON"
+    "-DBUILD_STATIC_LIBS=OFF"
+    "-DBUILD_TESTS=ON"
+  ];
+
+  meta = with lib; {
+    homepage = "https://github.com/kimwalisch/primecount";
+    description = "Fast prime counting function implementations";
+    longDescription = ''
+      primecount is a command-line program and C/C++ library that counts the
+      primes below an integer x ≤ 10^31 using highly optimized implementations
+      of the combinatorial prime counting algorithms.
+
+      primecount includes implementations of all important combinatorial prime
+      counting algorithms known up to this date all of which have been
+      parallelized using OpenMP. primecount contains the first ever open source
+      implementations of the Deleglise-Rivat algorithm and Xavier Gourdon's
+      algorithm (that works). primecount also features a novel load balancer
+      that is shared amongst all implementations and that scales up to hundreds
+      of CPU cores. primecount has already been used to compute several prime
+      counting function world records.
+    '';
+    license = licenses.bsd2;
+    inherit (primesieve.meta) maintainers platforms;
+  };
+}
diff --git a/pkgs/applications/science/math/primesieve/default.nix b/pkgs/applications/science/math/primesieve/default.nix
new file mode 100644
index 00000000000..c57e2d71f1e
--- /dev/null
+++ b/pkgs/applications/science/math/primesieve/default.nix
@@ -0,0 +1,36 @@
+{ lib
+, stdenv
+, fetchFromGitHub
+, cmake
+}:
+
+stdenv.mkDerivation rec {
+  pname = "primesieve";
+  version = "7.9";
+
+  src = fetchFromGitHub {
+    owner = "kimwalisch";
+    repo = "primesieve";
+    rev = "v${version}";
+    hash = "sha256-lwT+adKFoNI125y5FuJMovtMh8sFi9oqMLYGLabzrCI=";
+  };
+
+  nativeBuildInputs = [ cmake ];
+
+  meta = with lib; {
+    homepage = "https://primesieve.org/";
+    description = "Fast C/C++ prime number generator";
+    longDescription = ''
+      primesieve is a command-line program and C/C++ library for quickly
+      generating prime numbers. It is very cache efficient, it detects your
+      CPU's L1 & L2 cache sizes and allocates its main data structures
+      accordingly. It is also multi-threaded by default, it uses all available
+      CPU cores whenever possible i.e. if sequential ordering is not
+      required. primesieve can generate primes and prime k-tuplets up to 264.
+    '';
+    license = licenses.bsd2;
+    maintainers = teams.sage.members ++
+      (with maintainers; [ abbradar AndersonTorres ]);
+    platforms = platforms.unix;
+  };
+}
diff --git a/pkgs/development/libraries/science/math/primecount/default.nix b/pkgs/development/libraries/science/math/primecount/default.nix
deleted file mode 100644
index e1390ce6416..00000000000
--- a/pkgs/development/libraries/science/math/primecount/default.nix
+++ /dev/null
@@ -1,33 +0,0 @@
-{ 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${version}";
-    sha256 = "sha256-/Cb/HkD4UQ9gXsRpvRiEuQBoRd0THxNHsBaAAa+CqQo=";
-  };
-
-  cmakeFlags = [
-    "-DBUILD_STATIC_LIBS=OFF"
-    "-DBUILD_SHARED_LIBS=ON"
-    "-DBUILD_TESTS=ON"
-    "-DBUILD_PRIMECOUNT=ON"
-    "-DBUILD_LIBPRIMESIEVE=ON"
-  ];
-
-  meta = with lib; {
-    description = "Fast prime counting function implementations";
-    homepage = "https://github.com/kimwalisch/primecount";
-    license = licenses.bsd2;
-    platforms = platforms.unix;
-    maintainers = teams.sage.members;
-  };
-}
diff --git a/pkgs/development/libraries/science/math/primesieve/default.nix b/pkgs/development/libraries/science/math/primesieve/default.nix
deleted file mode 100644
index 0cf263218a3..00000000000
--- a/pkgs/development/libraries/science/math/primesieve/default.nix
+++ /dev/null
@@ -1,23 +0,0 @@
-{ lib, stdenv, fetchFromGitHub, cmake }:
-
-stdenv.mkDerivation rec {
-  pname = "primesieve";
-  version = "7.8";
-
-  nativeBuildInputs = [ cmake ];
-
-  src = fetchFromGitHub {
-    owner = "kimwalisch";
-    repo = "primesieve";
-    rev = "v${version}";
-    sha256 = "sha256-M35CP/xEyC7mEh84kaGsgfsDI9fnanHraNPgTvpqimI=";
-  };
-
-  meta = with lib; {
-    description = "Fast C/C++ prime number generator";
-    homepage = "https://primesieve.org/";
-    license = licenses.bsd2;
-    platforms = platforms.unix;
-    maintainers = with maintainers; [ abbradar ];
-  };
-}
diff --git a/pkgs/top-level/all-packages.nix b/pkgs/top-level/all-packages.nix
index 95e5bec551a..5909237b90c 100644
--- a/pkgs/top-level/all-packages.nix
+++ b/pkgs/top-level/all-packages.nix
@@ -20116,9 +20116,9 @@ with pkgs;
 
   prime-server = callPackage ../development/libraries/prime-server { };
 
-  primecount = callPackage ../development/libraries/science/math/primecount { };
+  primecount = callPackage ../applications/science/math/primecount { };
 
-  primesieve = callPackage ../development/libraries/science/math/primesieve { };
+  primesieve = callPackage ../applications/science/math/primesieve { };
 
   prison = callPackage ../development/libraries/prison { };