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Diophantine Frobenius Problem, The fainman an essential and rewarding partDuring 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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