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%I #13 Sep 05 2022 15:49:30
%S 311,67141,125963951,161888809,201388259,559069591,669472577,
%T 917135831,951993491,974896207,1103919101,1128722657,1426246369,
%U 1691534683,1977185207,2455167607,2472527851,2558204381,2583232213,2643398713,2708464399,2815245317,2868455287
%N Primes that are sums of three, five, seven and eleven consecutive primes.
%C Intersection of A127340 and A213814.
%C E.g., a(1) = 311 = A127340(3) = A213814(1).
%H Harvey P. Dale, <a href="/A305546/b305546.txt">Table of n, a(n) for n = 1..36</a> (* All terms from using the first 100 million primes. *)
%t Module[{nn=10^8,prs,p3,p5,p7,p11},prs=Prime[Range[nn]];p3=Select[ Total/@ Partition[ prs,3,1],PrimeQ];p5=Select[Total/@Partition[prs,5,1],PrimeQ];p7=Select[ Total/@Partition[prs,7,1],PrimeQ];p11=Select[Total/@Partition[prs,11,1],PrimeQ];Intersection[ p3,p5,p7,p11]] (* _Harvey P. Dale_, Sep 05 2022 *)
%Y Cf. A127340, A213814, A222564.
%K nonn
%O 1,1
%A _Zak Seidov_, Jun 04 2018
%E a(7)-a(23) from _Giovanni Resta_, Jun 07 2018
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