A161958 a(n) = smallest composite number which is the sum of n consecutive composite numbers.

4, 10, 18, 27, 45, 49, 63, 78, 94, 112, 132, 153, 175, 220, 224, 250, 301, 305, 335, 396, 400, 434, 469, 505, 543, 582, 622, 664, 708, 753, 799, 847, 896, 946, 1045, 1099, 1154, 1158, 1214, 1271, 1329, 1389, 1510, 1514, 1578, 1643, 1773, 1842, 1846, 1916, 1988

Offset

1,1

Links

Table of n, a(n) for n=1..51.

Example

a(7) = 4 + 6 + 8 + 9 + 10 + 12 + 14 = 63.

Prog

(Magma) C:=[ k: k in [4..1000] | not IsPrime(k) ]; find:=function(n) j:=0; repeat j+:=1; s:=&+[ C[i]: i in [j..n+j-1] ]; until not IsPrime(s); return s; end function; [ find(n): n in [1..51] ]; // Klaus Brockhaus, Jun 27 2009

Crossrefs

Cf. A002808 (composite numbers).

Sequence in context: A048218 A172484 A009876 * A013921 A217748 A028552

Adjacent sequences: A161955 A161956 A161957 * A161959 A161960 A161961

Keyword

nonn

Author

Claudio Meller, Jun 22 2009

Extensions

Values through a(51) verified by Klaus Brockhaus, Jun 27 2009

Status

approved