Friedman Number/Examples
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Examples of Friedman Numbers
The first few base $10$ Friedman numbers are as follows:
\(\ds 25\) | \(=\) | \(\ds 5^2\) | ||||||||||||
\(\ds 121\) | \(=\) | \(\ds 11^2\) | ||||||||||||
\(\ds 125\) | \(=\) | \(\ds 5^{\paren {1 + 2} }\) | ||||||||||||
\(\ds 126\) | \(=\) | \(\ds 21 \times 6\) | ||||||||||||
\(\ds 127\) | \(=\) | \(\ds 2^7 − 1\) | ||||||||||||
\(\ds 128\) | \(=\) | \(\ds 2^{\paren {8 - 1} }\) | ||||||||||||
\(\ds 153\) | \(=\) | \(\ds 51 \times 3\) |
This sequence is A036057 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).