Sequel to Reaman Numeral.
Copyright ©1997 by Paul Niquette. All rights reserved.
he integers in the puzzle are all Reaman Numerals with the common multiplier digit of 4.
Each has a distinct do-si-do digit as indicated.
for that 57-digit number in the hint -- why, it is merely
he following equation is a generalized version of the one we derived elsewhere.
m = the multiplier digit (given)
n = the number of digits in x (unknown)
x = the Reaman Numeral (unknown)
The numerator has the same form for any
value of digit
d. Thus, the fraction may be expressed as follows:
The algorithm applies four steps...
Step 1. Pick a value for digit d,Here is a handy table of numerators.
During the long division in Step 4, we have to keep inserting nines as we go along until the quotient comes out even. As we have seen, that can take quite a long time.
Finally, one correspondent, Don Lauria, has suggested that the Reaman Numerals should be given a symbolic representation as R(d,m), such that, for example, R(4,4) = 102,564, R(5,4) = 128,205, and R(5,5) = 102,040,816,326,530,612,244,897,959,183,673,469,387,755. So, then, how many Reaman Numerals are there?
Few activities given to mankind carry more solemn responsibilities than those that arise in creating puzzles. As a courtesy to solvers, both the statement and the solution must be precisely correct.
More than six years went by after the
Numerals Plural, and with no challenges
received, one might
reasonably assume that the material is error
free. So then several
Reaman Numerals were appropriated for what was
purported to be the world's
first Cross-Number Puzzle,
and zowie: a typographical
errer was reported and reported and reported...
The mistrake has
been corected now, thanks to the allertness of two
many solvers to acknowlage.