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