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Diophantine Frobenius Problem, The fainman One at a timeDuring the early part of the last century, Ferdinand Georg Frobenius (1849 1917) raised he following problem, known as the Frobenius Problem (FP): given relatively prime positive integers a1,,an, find the largest natural number (called the Frobenius number and denoted by g(a1,,an) that is not representable as a nonnegative integer combination of a1,,an, . At first glance FP may look deceptively specialized. Nevertheless it crops up again and again in
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