Jim Wilder
Alexander Bogomolny
@wilderlab But there are 4 solutions 22+2, 3^3-3, 4!+4-4, 8+8+8
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@CutTheKnotMath@wilderlab duh. i missed the catch 22 one:-) -
@CardColm@CutTheKnotMath@wilderlab You can find other solutions using other bases: e.g. 2 times 22 in base 5 -
@BenVitale@CardColm@wilderlab You can also increase # of digits, say, 5*5-5/5.What is the least # of digits with all 9 solutions? -
@CutTheKnotMath@BenVitale@CardColm@wilderlab What is the least # of digits with all 9 solutions? I think it's 7: (nn + nn + n + n)/n. - View other replies
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@CutTheKnotMath@BenVitale@CardColm@wilderlab I think it is 5: (11+1)*(1+1), 22+2^(2/2), 3*(3*3-3/3), 4*(4+4)-(4+4), 5*5-5^(5-5), etc... - View other replies
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@draketeach@BenVitale@CardColm@wilderlab Does "etc..." mean "by induction"? -
@CutTheKnotMath@BenVitale@CardColm@wilderlab no, it just means I assume it works for the others! Haven't solved 7 yet though.
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@wilderlab cute! took a few secs to get the 3rd one
Card Colm Mulcahy
Benjamin Vitale
Mr Drake
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