A229060 Smallest of 13 consecutive primes whose sum is not a prime.

2, 3, 5, 7, 11, 13, 17, 19, 23, 31, 37, 43, 53, 59, 67, 73, 79, 83, 101, 109, 113, 127, 137, 151, 157, 163, 167, 173, 179, 181, 191, 197, 199, 223, 227, 229, 233, 239, 251, 257, 269, 271, 281, 283, 307, 317, 331, 337, 347, 359, 367, 373, 389, 409, 421, 431, 433

Offset

1,1

Links

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

Example

31 is in the sequence because 31+37+41+43+47+53+59+61+67+71+73+79+83 = 745 and 745 = 5*149.

Mathematica

Transpose[Select[Partition[Prime[Range[200]], 13, 1], !PrimeQ[Total[#]]&]][[1]]

Prog

(Magma) [NthPrime(n): n in [1..120] | not IsPrime(&+[NthPrime(n+s): s in [0..12]])];

Crossrefs

Cf. A228201.

Sequence in context: A086983 A303436 A334797 * A219528 A341660 A033875

Adjacent sequences: A229057 A229058 A229059 * A229061 A229062 A229063

Keyword

nonn

Author

Vincenzo Librandi, Sep 13 2013

Status

approved