A228201 Smallest of 11 consecutive primes whose sum is not a prime.

2, 3, 17, 29, 31, 43, 47, 53, 61, 67, 71, 73, 79, 83, 89, 97, 127, 131, 139, 163, 179, 181, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 271, 277, 311, 313, 317, 337, 347, 367, 373, 379, 383, 389, 397, 401, 409, 419, 433, 439, 443, 449

Offset: 1

Author

Vincenzo Librandi, Aug 20 2013

Keywords

• nonn

Examples

			31 is in the sequence because 31+37+41+43+47+53+59+61+67+71+73 = 583 and 583 = 11*53.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A180950, A000040.

Programs

Magma

[NthPrime(n): n in [1..120] |not IsPrime(&+[NthPrime(n+s): s in [0..10]])];

Mathematica

Transpose[Select[Partition[Prime[Range[150]], 11, 1], ! PrimeQ[Total[#]] &]][[1]]
Prime[Select[Range[100], ! PrimeQ[Sum[Prime[# + i], {i, 0, 10}]] &]] (* Bruno Berselli, Aug 22 2013 *)