

A165981


Primes p which are equal to 2 plus the sum of three consecutive primes.


1



17, 43, 61, 73, 271, 313, 331, 373, 397, 409, 521, 691, 733, 751, 773, 859, 1051, 1063, 1153, 1171, 1231, 1459, 1613, 1669, 1759, 1823, 1933, 2053, 2131, 2473, 2551, 2707, 2843, 2917, 2953, 2999, 3163, 3221, 3331, 3371, 3469, 3517, 3541, 3583, 3671, 3719
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OFFSET

1,1


LINKS



EXAMPLE

17 is in the sequence because 2+3+5+7=17; 43=2+11+13+17; 271=2+83+89+97.


MATHEMATICA

Select[Total[#] + 2 & / @Partition[Prime[Range[200]], 3, 1], PrimeQ] (* Vincenzo Librandi, Sep 13 2013 *)


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



EXTENSIONS



STATUS

approved



