Penholodigital squares: Difference between revisions
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'''''penholodigital''': Nearly-all-digits.''</div> |
'''''penholodigital''': Nearly-all-digits.''</div> |
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So, in a particular base, a penholodigital square number will contain all of the digits used in that base (except zero) once, and only once. Base eight |
So, in a particular base, a penholodigital square number will contain all of the digits used in that base (except zero) once, and only once. Base eight penholodigitals contain the digit 1 through 7, base 10, 1 through 9, etc. |
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In base 10, '''139854276''' is a penholodigital square. It is the square of the integer '''11826''', and contains every digit from 1 through 9 exactly once. |
In base 10, '''139854276''' is a penholodigital square. It is the square of the integer '''11826''', and contains every digit from 1 through 9 exactly once. |
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Penholodigital squares can occur in many |
Penholodigital squares can occur in many, though not every, base. They tend to be pretty rare in lower bases. |
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<pre>There is a total of 1 penholodigital squares in base 2: |
<pre>There is a total of 1 penholodigital squares in base 2: |
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