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A228198
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Smallest of five consecutive primes whose sum is not a prime.
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1
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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
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OFFSET
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1,1
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LINKS
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EXAMPLE
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47 is in the sequence because 47+53+59+61+67 = 287 and 287 is not a prime.
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MATHEMATICA
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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 *)
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PROG
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(Magma) [NthPrime(n): n in [1..120] | not IsPrime(&+[NthPrime(n+s): s in [0..4]])];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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