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A180946 Primes p such that p(i)*p(i+1)+p(i+2)+p(i+3) is a prime. 2

%I #7 Nov 21 2013 12:50:06

%S 5,7,11,13,29,31,37,61,67,73,89,97,103,107,139,157,167,179,181,193,

%T 233,283,349,367,409,433,569,587,599,607,619,691,743,761,769,809,823,

%U 1021,1039,1051,1151,1201,1291,1319,1361,1373,1399,1481,1483,1499,1549,1567

%N Primes p such that p(i)*p(i+1)+p(i+2)+p(i+3) is a prime.

%C There are twin primes in the sequence: e.g (29,31); (179,181); (1481,1483).

%C There are consecutive primes also: e.g. (29,31,37); (1663,1667); (1777,1783).

%H Harvey P. Dale, <a href="/A180946/b180946.txt">Table of n, a(n) for n = 1..1000</a>

%e a(5)=29 since 29*31+37+41=977 is a prime.

%t Transpose[Select[Partition[Prime[Range[260]],4,1],PrimeQ[#[[1]]#[[2]]+ #[[3]]+ #[[4]]]&]][[1]] (* _Harvey P. Dale_, Jan 01 2012 *)

%Y Cf. A000040, A180944

%K nonn

%O 1,1

%A _Carmine Suriano_, Sep 27 2010

%E Inserted 1021 to 1201 - _R. J. Mathar_, Oct 23 2010

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Last modified April 19 02:45 EDT 2024. Contains 371782 sequences. (Running on oeis4.)