A228198 Smallest of five consecutive primes whose sum is not a prime.

2, 3, 17, 23, 37, 41, 47, 61, 71, 83, 89, 97, 101, 103, 131, 139, 167, 173, 181, 193, 197, 199, 227, 233, 239, 241, 251, 257, 271, 277, 281, 283, 293, 313, 317, 331, 337, 347, 367, 373, 389, 397, 421, 431, 439, 457, 463, 487, 491, 499, 503, 509, 547, 563, 587, 593

Offset: 1

Author

Vincenzo Librandi, Aug 20 2013

Keywords

• nonn

Examples

			47 is in the sequence because 47+53+59+61+67 = 287 and 287 is not a prime.
		

Links

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

Crossrefs

Cf. A000040, A152468.

Programs

Magma

[NthPrime(n): n in [1..120] | not IsPrime(&+[NthPrime(n+s): s in [0..4]])];

Mathematica

Transpose[Select[Partition[Prime[Range[150]], 5, 1], ! PrimeQ[Total[#]] &]][[1]]
Prime[Select[Range[150], ! PrimeQ[Sum[Prime[# + i], {i, 0, 4}]] &]] (* Bruno Berselli, Aug 21 2013 *)