diff --git a/CMakeLists.txt b/CMakeLists.txt
index 17ba96b..4fdaa8a 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -2,8 +2,8 @@
 # It is not actually needed for downstream use.
 #
 
+cmake_minimum_required(VERSION 3.5)
 project(UseLatexMk)
-cmake_minimum_required(VERSION 2.8)
 
 set(CMAKE_MODULE_PATH ${CMAKE_MODULE_PATH} ${CMAKE_SOURCE_DIR})
 include(UseLatexMk)
diff --git a/README.md b/README.md
index 9aa5f43..23ff07f 100644
--- a/README.md
+++ b/README.md
@@ -42,6 +42,7 @@ You just need to
 * copy all the CMake modules (`*.cmake`) from this project into your project
 * Include them with `include(UseLatexMk)`. This is best done from the top-level
   directory of your project, to make the `clean_latex` target available on that level.
+* Use CMake 3.5 or newer.
 
 Now, you are ready to use it!
 
diff --git a/UseLatexMk.cmake b/UseLatexMk.cmake
index 8fe428f..fbe76b5 100644
--- a/UseLatexMk.cmake
+++ b/UseLatexMk.cmake
@@ -203,11 +203,8 @@ function(add_latex_document)
     set(LATEXMKRC_OPTIONS ${LATEXMKRC_OPTIONS} -r ${LATEXMKRC_FILE})
   endforeach()
 
-  # Add the BYPRODUCTS parameter, if the CMake version supports it
-  set(BYPRODUCTS_PARAMETER "")
-  if (CMAKE_VERSION VERSION_GREATER "3.2")
-    set(BYPRODUCTS_PARAMETER BYPRODUCTS ${OUTPUT_PDF})
-  endif()
+  # Add the BYPRODUCTS parameter
+  set(BYPRODUCTS_PARAMETER BYPRODUCTS ${OUTPUT_PDF})
 
   # Maybe allow latexmk the use of absolute paths
   set(ENV_COMMAND "")