diff --git a/pkgs/applications/science/math/primecount/default.nix b/pkgs/by-name/pr/primecount/package.nix
similarity index 70%
rename from pkgs/applications/science/math/primecount/default.nix
rename to pkgs/by-name/pr/primecount/package.nix
index c3e2565989ed..791acca6ae5d 100644
--- a/pkgs/applications/science/math/primecount/default.nix
+++ b/pkgs/by-name/pr/primecount/package.nix
@@ -1,21 +1,23 @@
 { lib
-, stdenv
-, fetchFromGitHub
 , cmake
+, fetchFromGitHub
 , primesieve
+, stdenv
 }:
 
-stdenv.mkDerivation rec {
+stdenv.mkDerivation (finalAttrs: {
   pname = "primecount";
   version = "7.10";
 
   src = fetchFromGitHub {
     owner = "kimwalisch";
     repo = "primecount";
-    rev = "v${version}";
+    rev = "v${finalAttrs.version}";
     hash = "sha256-z7sHGR6zZSTV1PbL0WPGHf52CYQ572KC1yznCuIEJbQ=";
   };
 
+  outputs = [ "out" "dev" "lib" "man" ];
+
   nativeBuildInputs = [
     cmake
   ];
@@ -24,17 +26,18 @@ stdenv.mkDerivation rec {
     primesieve
   ];
 
+  strictDeps = true;
+
   cmakeFlags = [
-    "-DBUILD_LIBPRIMESIEVE=ON"
-    "-DBUILD_PRIMECOUNT=ON"
-    "-DBUILD_SHARED_LIBS=ON"
-    "-DBUILD_STATIC_LIBS=OFF"
-    "-DBUILD_TESTS=ON"
+    (lib.cmakeBool "BUILD_LIBPRIMESIEVE" true)
+    (lib.cmakeBool "BUILD_PRIMECOUNT" true)
+    (lib.cmakeBool "BUILD_SHARED_LIBS" (!stdenv.hostPlatform.isStatic))
+    (lib.cmakeBool "BUILD_STATIC_LIBS" stdenv.hostPlatform.isStatic)
+    (lib.cmakeBool "BUILD_TESTS" true)
   ];
 
-  meta = with lib; {
+  meta = {
     homepage = "https://github.com/kimwalisch/primecount";
-    changelog = "https://github.com/kimwalisch/primecount/blob/v${version}/ChangeLog";
     description = "Fast prime counting function implementations";
     longDescription = ''
       primecount is a command-line program and C/C++ library that counts the
@@ -50,7 +53,9 @@ stdenv.mkDerivation rec {
       of CPU cores. primecount has already been used to compute several prime
       counting function world records.
     '';
-    license = licenses.bsd2;
+    changelog = "https://github.com/kimwalisch/primecount/blob/${finalAttrs.src.rev}/ChangeLog";
+    license = lib.licenses.bsd2;
+    mainProgram = "primecount";
     inherit (primesieve.meta) maintainers platforms;
   };
-}
+})
diff --git a/pkgs/applications/science/math/primesieve/default.nix b/pkgs/by-name/pr/primesieve/package.nix
similarity index 61%
rename from pkgs/applications/science/math/primesieve/default.nix
rename to pkgs/by-name/pr/primesieve/package.nix
index 4d3c06bd9287..470b62111b3f 100644
--- a/pkgs/applications/science/math/primesieve/default.nix
+++ b/pkgs/by-name/pr/primesieve/package.nix
@@ -1,25 +1,35 @@
 { lib
-, stdenv
-, fetchFromGitHub
 , cmake
+, fetchFromGitHub
+, stdenv
+, primecount
 }:
 
-stdenv.mkDerivation rec {
+stdenv.mkDerivation (finalAttrs: {
   pname = "primesieve";
   version = "12.1";
 
   src = fetchFromGitHub {
     owner = "kimwalisch";
     repo = "primesieve";
-    rev = "v${version}";
+    rev = "v${finalAttrs.version}";
     hash = "sha256-AHl2GfZ1oJ8ZyjJzvg10AqN7TA7HFZ+qa6N2v51Qa78=";
   };
 
+  outputs = [ "out" "dev" "lib" "man" ];
+
   nativeBuildInputs = [ cmake ];
 
-  meta = with lib; {
+  strictDeps = true;
+
+  passthru = {
+    tests = {
+      inherit primecount; # dependent
+    };
+  };
+
+  meta = {
     homepage = "https://primesieve.org/";
-    changelog = "https://github.com/kimwalisch/primesieve/blob/v${version}/ChangeLog";
     description = "Fast C/C++ prime number generator";
     longDescription = ''
       primesieve is a command-line program and C/C++ library for quickly
@@ -29,9 +39,11 @@ stdenv.mkDerivation rec {
       CPU cores whenever possible i.e. if sequential ordering is not
       required. primesieve can generate primes and prime k-tuplets up to 264.
     '';
-    license = licenses.bsd2;
-    maintainers = teams.sage.members ++
-      (with maintainers; [ abbradar AndersonTorres ]);
-    platforms = platforms.unix;
+    changelog = "https://github.com/kimwalisch/primesieve/blob/${finalAttrs.src.rev}/ChangeLog";
+    license = lib.licenses.bsd2;
+    mainProgram = "primesieve";
+    maintainers = lib.teams.sage.members ++
+      (with lib.maintainers; [ abbradar AndersonTorres ]);
+    platforms = lib.platforms.unix;
   };
-}
+})
diff --git a/pkgs/top-level/all-packages.nix b/pkgs/top-level/all-packages.nix
index 40a56c4c9e6c..51b543770b23 100644
--- a/pkgs/top-level/all-packages.nix
+++ b/pkgs/top-level/all-packages.nix
@@ -24233,10 +24233,6 @@ with pkgs;
 
   prime-server = callPackage ../development/libraries/prime-server { };
 
-  primecount = callPackage ../applications/science/math/primecount { };
-
-  primesieve = callPackage ../applications/science/math/primesieve { };
-
   proj = callPackage ../development/libraries/proj {
     stdenv = if stdenv.cc.isClang then overrideLibcxx llvmPackages_13.stdenv else stdenv;
   };