Frobenius number

English

Etymology

After Ferdinand Georg Frobenius.

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Noun

Frobenius number (plural Frobenius numbers)

  1. For a given set of coprime positive integers, the greatest integer that cannot be expressed as a linear combination (with nonnegative integer coefficients) of its elements.
    The Frobenius number of 2 and 5 is 3, since 3 cannot be formed as a sum of twos and fives while every larger integer can.

Further reading
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