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Try this script (in Lua 5.1.4):

local t = {}
for i = 1,2^18 do
  t[#t+1] = '(function() return '..i..' end)();\n'
end
print( loadstring( table.concat( t ) ) )

I always thought that the constant table limit is per function. But why do I get this output:
    nil     constant table overflow

I think I am missing something here. 

   Jörg