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    $\begingroup$ See Put and PutAppend $\endgroup$ Commented Nov 20, 2014 at 12:18
  • $\begingroup$ Related: "The best way to construct a function with memory." $\endgroup$ Commented Nov 20, 2014 at 12:25
  • $\begingroup$ @MariusLadegårdMeyer The PutAppend also seems to overwrite the info, and doesn't solve the import data problem $\endgroup$ Commented Nov 20, 2014 at 12:29
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    $\begingroup$ @Anoldmaninthesea, try this: (# >>> "test.dat") & /@ {1, 2, 3} followed by ReadList["test.dat"]. For me, this returns {1,2,3}. If you now want to add some new numbers, say (# >>> "test.dat") & /@ {4, 5, 6, 7, 8}, you will find that ReadList["test.dat"] gives you {1,2,3,4,5,6,7,8}. If you only need to save numbers/lists, and not expressions, then this is the simplest way I can think of. $\endgroup$ Commented Nov 20, 2014 at 12:41
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    $\begingroup$ @Anoldmaninthesea, I can't reproduce that. Did you save it both times with >>>? Try starting from a new file name. $\endgroup$ Commented Nov 20, 2014 at 13:25