Concatenating two consecutive integers
183 and 184
we get a six-digit number
183184, equalling
square of 428.List similar pairs, below
500,000 (final product).
How about the same task with a pair of a consecutve numbers
in a decreasing order?
Please provide a similar list (same constraints).
(In reply to
solution ++ by Charlie)
There do appear to be fewer descending, but there is a pattern in the list of descending: 91, 9901, 999001
which leads to an infinite sequence
(10^2n - 10^n + 1)^2 = 10^4n - 2*10^3n + 3*10^2n - 2*10^n + 1
The squares have that pattern of
9...980...029...980...01
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Posted by Jer
on 2021-08-19 11:24:12 |