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%I #12 Sep 08 2022 08:46:05
%S 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,97,101,
%T 103,107,109,113,127,131,137,149,151,157,163,167,173,191,193,197,199,
%U 211,223,227,229,233,239,241,251,257,263,269,271,283,293,307,311,313,317,331
%N Smallest of 101 consecutive primes whose sum is not a prime.
%H Vincenzo Librandi, <a href="/A228296/b228296.txt">Table of n, a(n) for n = 1..1000</a>
%t Transpose[Select[Partition[Prime[Range[180]], 101, 1], ! PrimeQ[Total[#]] &]][[1]]
%t Prime[Select[Range[80], ! PrimeQ[Sum[Prime[# + i], {i, 0, 100}]] &]] (* _Bruno Berselli_, Aug 22 2013 *)
%o (Magma) [NthPrime(n): n in [1..120] |not IsPrime(&+[NthPrime(n+s): s in [0..100]])];
%Y Cf. A226380, A000040.
%K nonn,less
%O 1,1
%A _Vincenzo Librandi_, Aug 20 2013
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