Definition:Trimorphic Number
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Definition
An trimorphic number is a positive integer whose cube ends in that number.
Sequence of Trimorphic Numbers
The sequence of trimorphic numbers begins:
\(\ds 1^3\) | \(=\) | \(\ds 1\) | ||||||||||||
\(\ds 4^3\) | \(=\) | \(\ds 64\) | ||||||||||||
\(\ds 5^3\) | \(=\) | \(\ds 125\) | ||||||||||||
\(\ds 6^3\) | \(=\) | \(\ds 216\) | ||||||||||||
\(\ds 9^3\) | \(=\) | \(\ds 729\) | ||||||||||||
\(\ds 24^3\) | \(=\) | \(\ds 13 \, 824\) | ||||||||||||
\(\ds 25^3\) | \(=\) | \(\ds 15 \, 625\) | ||||||||||||
\(\ds 49^3\) | \(=\) | \(\ds 117 \, 649\) | ||||||||||||
\(\ds 51^3\) | \(=\) | \(\ds 132 \, 651\) | ||||||||||||
\(\ds 75^3\) | \(=\) | \(\ds 421 \, 875\) | ||||||||||||
\(\ds 76^3\) | \(=\) | \(\ds 438 \, 976\) | ||||||||||||
\(\ds 99^3\) | \(=\) | \(\ds 970 \, 299\) | ||||||||||||
\(\ds 125^3\) | \(=\) | \(\ds 1 \, 953 \, 125\) | ||||||||||||
\(\ds 249^3\) | \(=\) | \(\ds 15 \, 438 \, 249\) |
Also see
- Results about trimorphic numbers can be found here.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $49$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $49$