Parasitic Number - Smallest N-parasitic Numbers

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

Read more about this topic:  Parasitic Number

Famous quotes containing the words smallest and/or numbers:

    The axioms of physics translate the laws of ethics. Thus, “the whole is greater than its part;” “reaction is equal to action;” “the smallest weight may be made to lift the greatest, the difference of weight being compensated by time;” and many the like propositions, which have an ethical as well as physical sense. These propositions have a much more extensive and universal sense when applied to human life, than when confined to technical use.
    Ralph Waldo Emerson (1803–1882)

    One murder makes a villain, millions a hero. Numbers sanctify, my good fellow.
    Charlie Chaplin (1889–1977)