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Little explorations with HP calculators (no Prime)
03-15-2017, 11:56 PM (This post was last modified: 03-16-2017 12:01 AM by Thomas Okken.)
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RE: Little explorations with the HP calculators
12c = 10d + 4

captures only part of the puzzle.
What's missing are these:

c ≠ d
c, d ∈ { 0, 1, 2, ... 9 }

The first equation establishes a straightforward relationship between c and d, but the third one puts this puzzle in the realm of discrete mathematics or number theory. The numerical solvers in calculators aren't designed for such problems, and in fact, many such problems are notoriously difficult, for example:

find a, b, c, n such that

a^n + b^n = c^n

It's trivial to find solutions to this, but if you add these conditions:

a, b, c, n ∈ N
a, b, c > 0
n > 2

It's suddenly a lot harder. :-)
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RE: Little explorations with the HP calculators - Thomas Okken - 03-15-2017 11:56 PM

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