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A138991 a(n) = Frobenius number for 5 successive primes = F[p(n),p(n+1),p(n+2),p(n+3),p(n+4)]. 11


%S 1,4,9,23,31,54,66,101,125,143,200,261,285,307,398,434,588,563,672,

%T 708,659,717,935,1078,1748,1816,1135,1173,1104,1277,1911,1975,2188,

%U 2111,2680,2593,2683,3266,2861,3297,3757,3996,4198,3275,2953,3457,4668,6688

%N a(n) = Frobenius number for 5 successive primes = F[p(n),p(n+1),p(n+2),p(n+3),p(n+4)].

%C For Frobenius numbers for 2 successive primes see A037165

%C For Frobenius numbers for 3 successive primes see A138989

%C For Frobenius numbers for 4 successive primes see A138990

%C For Frobenius numbers for 5 successive primes see A138991

%C For Frobenius numbers for 6 successive primes see A138992

%C For Frobenius numbers for 7 successive primes see A138993

%C For Frobenius numbers for 8 successive primes see A138994

%e a(3)=23 because 23 is the biggest number k such that equation:

%e 7*x_1+11*x_2+13*x_3+17*x+4+19*x_5 = k has no solution for any nonnegative x_i (in other words for every k>23 there exists one or more solutions)

%t Table[FrobeniusNumber[{Prime[n],Prime[n + 1], Prime[n + 2], Prime[n + 3], Prime[n + 4]}], {n, 1, 100}]

%t FrobeniusNumber/@Partition[Prime[Range[80]],5,1] (* _Harvey P. Dale_, Aug 15 2014 *)

%Y Cf. A028387, A037165, A079326, A138985, A138986, A138987, A138988, A138989, A138990, A138991, A138992, A138993, A138994.

%K nonn

%O 1,2

%A _Artur Jasinski_, Apr 05 2008

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Last modified December 11 23:44 EST 2019. Contains 329945 sequences. (Running on oeis4.)