A093860 Begin with the n-th composite number (A002808(n)) and go on adding successive composite numbers; a(n) is the first prime that arises as the sum.

37, 23, 17, 19, 67, 41, 29, 31, 97, 59, 41, 43, 71, 983, 383, 53, 293, 157, 277, 373, 67, 353, 71, 113, 653, 79, 467, 131, 89, 139, 193, 97, 311, 101, 103, 919, 109, 743, 113, 563, 307, 587, 457, 127, 263, 131, 419, 137, 139, 367, 613, 149, 151, 311, 653, 239

Offset

1,1

Links

Table of n, a(n) for n=1..56.

Example

a(5) = 10+12+14+15+16 because 10+12, 10+12+14 and 10+12+14+15 are composite, but 10+12+14+15+16 is prime.

Mathematica

Rest[With[{cnos=Select[Range[100], !PrimeQ[#]&]}, Table[First[Select[ Accumulate[Drop[cnos, n-1]], PrimeQ]], {n, 60}]]] (* Harvey P. Dale, Aug 24 2011 *)

Crossrefs

Cf. A073686.

Sequence in context: A068843 A284497 A033357 * A336480 A075400 A222293

Adjacent sequences: A093857 A093858 A093859 * A093861 A093862 A093863

Keyword

nonn

Author

Amarnath Murthy, Apr 19 2004

Extensions

More terms from David Wasserman, Apr 20 2007

Status

approved