20 Dec
2011
20 Dec
'11
8:36 a.m.
Tom's list < http://tomas.rokicki.com/k.txt > of {base, k, x1, x2, ...} is now complete to base 1025. I've updated my graph < http://chesswanks.com/num/k.png
accordingly. The minimum base with k > 10^6 is now known to be base 1010, wherein the number x = 1030301 (digits: {1,10,101}) requires k = 1009000 multiplications (x, 2x, 3x, ..., 1009000x) to manifest all 1010 digits: The digit 1009 does not appear in any of {x, 2x, 3x, ..., 1008999x}, but 1009000*{1,10,101} = {1009,0,0,0}.