frobenius number

English - English

Definition of frobenius number in English English dictionary

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.

Related Terms

Frobenius numbers

plural form of Frobenius number

Hyphenation

frobenius num·ber