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A138989
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a(n) = Frobenius number for 3 successive primes = F[p(n), p(n+1), p(n+2)].
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11
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1, 4, 13, 30, 53, 80, 117, 131, 194, 286, 293, 520, 613, 522, 1310, 858, 1001, 929, 1610, 1418, 1322, 1499, 1421, 2941, 3300, 3533, 3710, 3957, 2065, 2241, 3685, 4595, 3697, 3930, 5956, 12074, 5509, 5874, 14690, 7968, 6084, 6373, 12413, 12740, 6694, 21878
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OFFSET
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1,2
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LINKS
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EXAMPLE
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a(3)=13 because 13 is the largest number k such that the equation 5*x_1 + 7*x_2 + 11*x_3 = k has no solution for any nonnegative x_i. (In other words, for every k > 13 there exist one or more solutions.)
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MATHEMATICA
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Table[FrobeniusNumber[{Prime[n], Prime[n + 1], Prime[n + 2}], {n, 1, 100}]
FrobeniusNumber/@Partition[Prime[Range[50]], 3, 1] (* Harvey P. Dale, Dec 01 2015 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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