Smallest N-parasitic Numbers
The smallest n-parasitic numbers are also known as Dyson numbers, after a puzzle concerning these numbers posed by Freeman Dyson. They are:
n | Smallest n-parasitic number | period of |
1 | 1 | 1/9 |
2 | 105263157894736842 | 2/19 |
3 | 1034482758620689655172413793 | 3/29 |
4 | 102564 | 4/39 |
5 | 142857 | 7/49=1/7 |
6 | 10169491525423728813559932203389830508474576271186440677966 | 6/59 |
7 | 1014492753623188405797 | 7/69 |
8 | 1012658227848 | 8/79 |
9 | 10112359550561797752808988764044943820224719 | 9/89 |
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—Bible: New Testament, Matthew 13:31,32.
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