Should I name “makefile” or “Makefile”?

What Name to Give Your Makefile chapter of GNU Make manual clarifies it:

By default, when make looks for the makefile, it tries the following names, in order: GNUmakefile, makefile and Makefile. Normally you should call your makefile either makefile or Makefile. (We recommend Makefile because it appears prominently near the beginning of a directory listing, right near other important files such as README.) The first name checked, GNUmakefile, is not recommended for most makefiles. You should use this name if you have a makefile that is specific to GNU make, and will not be understood by other versions of make. Other make programs look for makefile and Makefile, but not GNUmakefile.