Category:Thabit Pairs/Examples
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This category contains examples of Thabit Pair.
A Thabit pair is an amicable pair formed by an application of Thabit's Rule:
- $\tuple {2^n a b, 2^n c}$
where $n$ be a positive integer such that:
| \(\ds a\) | \(=\) | \(\ds 3 \times 2^n - 1\) | ||||||||||||
| \(\ds b\) | \(=\) | \(\ds 3 \times 2^{n - 1} - 1\) | ||||||||||||
| \(\ds c\) | \(=\) | \(\ds 9 \times 2^{2 n - 1} - 1\) |
are all prime.