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p, p+6 and p+10 are consecutive primes.
5

%I #13 Oct 15 2013 22:31:46

%S 31,61,73,157,271,373,433,607,733,751,1291,1543,1657,1777,1861,1987,

%T 2131,2287,2341,2371,2383,2467,2677,2791,2851,3181,3313,3607,3691,

%U 4441,4507,4723,4993,5407,5431,5521,5563,5641,5683,5851,6037,6211,6571,6961

%N p, p+6 and p+10 are consecutive primes.

%C Subsequence of A031924. - _R. J. Mathar_, Jun 15 2013

%H R. J. Mathar, <a href="/A078562/b078562.txt">Table of n, a(n) for n = 1..1000</a>

%e Between p and p+10 the difference-pattern is [64] like e.g. for p=31: 31(6)37(4)41.

%t Transpose[Select[Partition[Prime[Range[1000]],3,1],#[[3]]-#[[1]]==10&&#[[2]]-#[[1]]==6&]][[1]] (* _Harvey P. Dale_, Dec 09 2010 *)

%Y Cf. analogous inter-prime d-patterns with d<=6: A022004[24], A022005[42], A049437[26], A049438[62], A078561[46], A078562[64], A047948[66].

%K nonn

%O 1,1

%A _Labos Elemer_, Dec 10 2002