Wolfram Language & System 11.0 (2016)|Legacy Documentation

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gives the Frobenius number of a1,,an.


  • The Frobenius number of a1,,an is the largest integer b for which the Frobenius equation a1x1++anxn==b has no non-negative integer solutions. The ai must be positive integers.
  • If the integers ai are not relatively prime, the result is Infinity.
  • If one of the ai is the integer , then the result is .
  • If b is the Frobenius number of a1,,an, then FrobeniusSolve[{a1,,an},b] returns {}.
Introduced in 2007