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A138993 a(n) = Frobenius number for 7 successive primes = F[p(n),p(n+1),p(n+2),p(n+3),p(n+4),p(n+5),p(n+6)]. 11
1, 4, 9, 16, 27, 41, 49, 63, 102, 114, 169, 187, 203, 221, 304, 328, 409, 441, 465, 495, 525, 559, 769, 811, 867, 907, 826, 854, 886, 938, 1403, 1451, 1505, 1555, 1786, 1838, 1741, 2125, 2193, 2605, 2325, 2005, 2479, 2318, 2362, 2637, 3402, 4012, 3857, 3666 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For Frobenius numbers for 2 successive primes see A037165

For Frobenius numbers for 3 successive primes see A138989

For Frobenius numbers for 4 successive primes see A138990

For Frobenius numbers for 5 successive primes see A138991

For Frobenius numbers for 6 successive primes see A138992

For Frobenius numbers for 7 successive primes see A138993

For Frobenius numbers for 8 successive primes see A138994

LINKS

Table of n, a(n) for n=1..50.

EXAMPLE

a(4)=16 because 16 is the biggest number k such that equation:

7*x_1+11*x_2+13*x_3+17*x+4+19*x_5+23*x_6 +29*x_7= k has no solution for any nonnegative x_i (in other words for every k>16 there exists one or more solutions)

MATHEMATICA

Table[FrobeniusNumber[{Prime[n], Prime[n + 1], Prime[n + 2], Prime[n + 3], Prime[n + 4], Prime[n + 5], Prime[n + 6]}], {n, 1, 100}]

FrobeniusNumber/@Partition[Prime[Range[100]], 7, 1] (* Harvey P. Dale, Aug 15 2014 *)

CROSSREFS

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

Sequence in context: A109593 A237589 A138981 * A008019 A029896 A301198

Adjacent sequences:  A138990 A138991 A138992 * A138994 A138995 A138996

KEYWORD

nonn

AUTHOR

Artur Jasinski, Apr 05 2008

STATUS

approved

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Last modified February 28 06:55 EST 2020. Contains 332321 sequences. (Running on oeis4.)