Lucas Number - Congruence Relations

Congruence Relations

If Fn ≥ 5 is a Fibonacci number then no Lucas number is divisble by Fn.

Ln is congruent to 1 mod n if n is prime, but some composite values of n also have this property.

Read more about this topic:  Lucas Number

Famous quotes containing the words congruence and/or relations:

    “As for butterflies, I can hardly conceive
    of one’s attending upon you; but to question
    the congruence of the complement is vain, if it exists.”
    —Marianne Moore (1887–1972)

    “Actually, the laboring man has not leisure for a true integrity day by day; he cannot afford to sustain the manliest relations to men; his labor would be depreciated in the market.
    He has no time to be anything but a machine.”
    —Henry David Thoreau (1817–1862)