diff --git a/pkgs/development/coq-modules/pocklington/default.nix b/pkgs/development/coq-modules/pocklington/default.nix
new file mode 100644
index 00000000000..111bffeca2c
--- /dev/null
+++ b/pkgs/development/coq-modules/pocklington/default.nix
@@ -0,0 +1,22 @@
+{ lib, mkCoqDerivation, coq, version ? null }:
+with lib;
+
+mkCoqDerivation {
+  pname = "pocklington";
+  owner = "coq-community";
+
+  release."8.12.0".rev    = "v8.12.0";
+  release."8.12.0".sha256 = "sha256-0xBrw9+4g14niYdNqp0nx00fPJoSSnaDSDEaIVpPfjs=";
+
+  inherit version;
+  defaultVersion = with versions; switch coq.coq-version [
+    { case = isGe "8.7"; out = "8.12.0"; }
+  ] null;
+
+  meta = {
+    description = "Pocklington's criterion for primality in Coq";
+    maintainers = with maintainers; [ siraben ];
+    license = licenses.mit;
+    platforms = platforms.unix;
+  };
+}
diff --git a/pkgs/top-level/coq-packages.nix b/pkgs/top-level/coq-packages.nix
index 2a6c9d42377..e8737753652 100644
--- a/pkgs/top-level/coq-packages.nix
+++ b/pkgs/top-level/coq-packages.nix
@@ -64,6 +64,7 @@ let
       odd-order = callPackage ../development/coq-modules/odd-order { };
       paco = callPackage ../development/coq-modules/paco {};
       paramcoq = callPackage ../development/coq-modules/paramcoq {};
+      pocklington = callPackage ../development/coq-modules/pocklington {};
       QuickChick = callPackage ../development/coq-modules/QuickChick {};
       simple-io = callPackage ../development/coq-modules/simple-io { };
       stdpp = callPackage ../development/coq-modules/stdpp { };