Product of Two Triangular Numbers to make Square/Mistake
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Source Work
1986: David Wells: Curious and Interesting Numbers:
- The Dictionary
- $15$
1997: David Wells: Curious and Interesting Numbers (2nd ed.):
- The Dictionary
- $15$
Mistake
- For every triangular number, $T_n$, there are an infinite number of other triangular numbers, $T_m$, such that $T_n T_m$ is a square. For example, $T_3 \times T_{24} = 30^2$.
Correction
This is incorrect.
It is supposed that this is a misprint for:
- $T_2 \times T_{24} = 30^2$
which is correct.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $15$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $15$