login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 * A339330 A008019 A029896

Adjacent sequences: A138990 A138991 A138992 * A138994 A138995 A138996

KEYWORD

nonn

AUTHOR

Artur Jasinski, Apr 05 2008

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 30 21:57 EST 2022. Contains 358453 sequences. (Running on oeis4.)