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A138990 a(n) = Frobenius number for 4 successive primes = F[p(n),p(n+1),p(n+2),p(n+3)]. 11
1, 4, 9, 23, 42, 67, 83, 101, 125, 199, 262, 335, 367, 393, 492, 593, 704, 807, 873, 990, 817, 950, 1101, 1353, 2039, 2624, 2371, 1494, 1431, 1640, 2927, 2368, 2875, 2667, 3570, 3348, 3625, 3918, 4531, 3816, 4831, 4543, 9357, 4819, 4131, 6611, 5735, 10483 (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

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

a(3)=23 because 23 is the largest number k such that equation 7*x_1+11*x_2+13*x_3+17*x+4 = k has no solution for any nonnegative x_i (in other words for every k>23 there exists one or more solutions)

MATHEMATICA

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

FrobeniusNumber/@Partition[Prime[Range[60]], 4, 1] (* Harvey P. Dale, Nov 23 2014 *)

CROSSREFS

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

Sequence in context: A070713 A060250 A138991 * A014543 A131607 A221313

Adjacent sequences:  A138987 A138988 A138989 * A138991 A138992 A138993

KEYWORD

nonn

AUTHOR

Artur Jasinski, Apr 05 2008

EXTENSIONS

Definition corrected by Harvey P. Dale, Aug 15 2014

STATUS

approved

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Last modified February 16 16:00 EST 2020. Contains 331961 sequences. (Running on oeis4.)