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)

    “Subject the material world to the higher ends by understanding it in all its relations to daily life and action.”
    —Ellen Henrietta Swallow Richards (1842–1911)