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The paper describing the Skein hash function does contain a short description in section 4.9 on how to use it as a PRNG (as otus and SEJPM pointed out). If you use that mode then Skein can be used as PRNG. If the security of Skein holds then you should be able to use it for very large amounts of output data, not just 16 KiB of output. Note that Skein is "...

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