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Friedman number
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== Using Roman numerals == In a trivial sense, all [[Roman numeral]]s with more than one symbol are Friedman numbers. The expression is created by simply inserting + signs into the numeral, and occasionally the β sign with slight rearrangement of the order of the symbols. Some research into Roman numeral Friedman numbers for which the expression uses some of the other operators has been done. The first such nice Roman numeral Friedman number discovered was 8, since VIII = (V - I) Γ II. Other such nontrivial examples have been found. The difficulty of finding nontrivial Friedman numbers in Roman numerals increases not with the size of the number (as is the case with [[positional notation]] numbering systems) but with the numbers of symbols it has. For example, it is much tougher to figure out whether 147 (CXLVII) is a Friedman number in Roman numerals than it is to make the same determination for 1001 (MI). With Roman numerals, one can at least derive quite a few Friedman expressions from any new expression one discovers. Since 8 is a nice nontrivial nice Roman numeral Friedman number, it follows that any number ending in VIII is also such a Friedman number.
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