diff --git a/CHANGELOG.md b/CHANGELOG.md
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,3 +1,9 @@
+## persistent-migration 0.3.0
+
+Fixes:
+* Don't insert into `persistent_migration` table if no migrations are running ([#72](https://github.com/brandonchinn178/persistent-migration/pull/72))
+* Fix `SERIAL` type for INT64 columns ([#79](https://github.com/brandonchinn178/persistent-migration/pull/79))
+
 ## persistent-migration 0.2.1
 
 Fixes:
diff --git a/persistent-migration.cabal b/persistent-migration.cabal
--- a/persistent-migration.cabal
+++ b/persistent-migration.cabal
@@ -1,13 +1,13 @@
 cabal-version: 1.18
 
--- This file has been generated from package.yaml by hpack version 0.33.0.
+-- This file has been generated from package.yaml by hpack version 0.34.4.
 --
 -- see: https://github.com/sol/hpack
 --
--- hash: 719969a82682f1123ab4f973c7366736f3b3fa2ccc013f2c901a334894fc6408
+-- hash: cc80da6911feb3f7cbe8f194c55aa3de1b4521d73ec516a4be6a2f8f2f8c4c50
 
 name:           persistent-migration
-version:        0.2.1
+version:        0.3.0
 synopsis:       Manual migrations for the persistent library
 description:    Manual migrations for the persistent library.
 category:       Database
diff --git a/src/Database/Persist/Migration/Core.hs b/src/Database/Persist/Migration/Core.hs
--- a/src/Database/Persist/Migration/Core.hs
+++ b/src/Database/Persist/Migration/Core.hs
@@ -146,14 +146,18 @@
 -- | Run the given migration. After successful completion, saves the migration to the database.
 runMigration :: MonadIO m => MigrateBackend -> MigrateSettings -> Migration -> SqlPersistT m ()
 runMigration backend settings@MigrateSettings{..} migration = do
-  getMigration backend settings migration >>= mapM_ executeSql
-  now <- liftIO getCurrentTime
-  let version = getLatestVersion migration
-  rawExecute "INSERT INTO persistent_migration(version, label, timestamp) VALUES (?, ?, ?)"
-    [ PersistInt64 $ fromIntegral version
-    , PersistText $ Text.pack $ fromMaybe (show version) $ versionToLabel version
-    , PersistUTCTime now
-    ]
+  currVersion <- getCurrVersion backend
+  let latestVersion = getLatestVersion migration
+  case currVersion of
+    Just current | current >= latestVersion -> pure ()
+    _ -> do
+      getMigration backend settings migration >>= mapM_ executeSql
+      now <- liftIO getCurrentTime
+      rawExecute "INSERT INTO persistent_migration(version, label, timestamp) VALUES (?, ?, ?)"
+        [ PersistInt64 $ fromIntegral latestVersion
+        , PersistText $ Text.pack $ fromMaybe (show latestVersion) $ versionToLabel latestVersion
+        , PersistUTCTime now
+        ]
 
 -- | Get the SQL queries for the given migration.
 getMigration :: MonadIO m
diff --git a/src/Database/Persist/Migration/Postgres.hs b/src/Database/Persist/Migration/Postgres.hs
--- a/src/Database/Persist/Migration/Postgres.hs
+++ b/src/Database/Persist/Migration/Postgres.hs
@@ -120,9 +120,10 @@
   (\sqls -> Text.unwords $ [quote colName, sqlType] ++ sqls)
   $ map showColumnProp colProps
   where
-    sqlType = if AutoIncrement `elem` colProps
-      then "SERIAL"
-      else showSqlType colType
+    sqlType = case (AutoIncrement `elem` colProps, colType) of
+      (True, SqlInt32) -> "SERIAL"
+      (True, SqlInt64) -> "BIGSERIAL"
+      _ -> showSqlType colType
 
 -- | Show a 'SqlType'. See `showSqlType` from `Database.Persist.Postgresql`.
 showSqlType :: SqlType -> Text
diff --git a/test/integration/Migration.hs b/test/integration/Migration.hs
--- a/test/integration/Migration.hs
+++ b/test/integration/Migration.hs
@@ -1,8 +1,10 @@
 {-# LANGUAGE AllowAmbiguousTypes #-}
 {-# LANGUAGE CPP #-}
+{-# LANGUAGE DataKinds #-}
 {-# LANGUAGE DerivingStrategies #-}
 {-# LANGUAGE ExistentialQuantification #-}
 {-# LANGUAGE FlexibleContexts #-}
+{-# LANGUAGE FlexibleInstances #-}
 {-# LANGUAGE GeneralizedNewtypeDeriving #-}
 {-# LANGUAGE LambdaCase #-}
 {-# LANGUAGE MultiParamTypeClasses #-}
diff --git a/test/integration/Utils/Backends.hs b/test/integration/Utils/Backends.hs
--- a/test/integration/Utils/Backends.hs
+++ b/test/integration/Utils/Backends.hs
@@ -47,7 +47,7 @@
       let connString = ByteString.pack $ "postgresql:///test_db?host=" ++ dir'
       runNoLoggingT $ createPostgresqlPool connString 4
     stopPostgres pool = do
-      callProcess' "pg_ctl" ["-D", dir', "stop"]
+      callProcess' "pg_ctl" ["-D", dir', "stop", "-m", "fast"]
       destroyAllResources pool
     -- utilities
     callProcess' cmd args = do
diff --git a/test/unit/Utils/Backends.hs b/test/unit/Utils/Backends.hs
--- a/test/unit/Utils/Backends.hs
+++ b/test/unit/Utils/Backends.hs
@@ -16,7 +16,9 @@
 import qualified Data.Map as Map
 import Data.Maybe (maybeToList)
 import Database.Persist.Migration (Version)
-import Database.Persist.Sql (PersistValue(..), SqlBackend(..), Statement(..))
+import Database.Persist.Sql (PersistValue(..), Statement(..))
+import Database.Persist.SqlBackend
+    (MkSqlBackendArgs(..), SqlBackend, mkSqlBackend)
 import System.IO.Unsafe (unsafePerformIO)
 
 {- Mock test database -}
@@ -45,7 +47,7 @@
 withTestBackend :: (SqlBackend -> IO a) -> IO a
 withTestBackend action = do
   smap <- newIORef Map.empty
-  action SqlBackend
+  action $ mkSqlBackend MkSqlBackendArgs
     { connPrepare = \case
         "SELECT version FROM persistent_migration ORDER BY timestamp DESC LIMIT 1" ->
           return stmt
@@ -57,23 +59,18 @@
         _ -> return stmt
     , connStmtMap = smap
     , connInsertSql = error "connInsertSql"
-    , connUpsertSql = error "connUpsertSql"
-    , connPutManySql = error "connPutManySql"
-    , connInsertManySql = error "connInsertManySql"
     , connClose = error "connClose"
     , connMigrateSql = error "connMigrateSql"
     , connBegin = error "connBegin"
     , connCommit = error "connCommit"
     , connRollback = error "connRollback"
-    , connEscapeName = error "connEscapeName"
+    , connEscapeFieldName = error "connEscapeFieldName"
+    , connEscapeTableName = error "connEscapeTableName"
+    , connEscapeRawName = error "connEscapeRawName"
     , connNoLimit = error "connNoLimit"
     , connRDBMS = error "connRDBMS"
     , connLimitOffset = error "connLimitOffset"
     , connLogFunc = \_ _ _ _ -> return ()
-    , connMaxParams = error "connMaxParams"
-#if MIN_VERSION_persistent(2, 9, 0)
-    , connRepsertManySql = error "connRepsertManySql"
-#endif
     }
   where
     stmt = Statement