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%I #6 Oct 15 2013 22:32:37
%S 13147,14407,114757,132607,231547,353317,459607,476587,568987,601747,
%T 652357,724627,794137,861547,904777,1010407,1094437,1140847,1147567,
%U 1170007,1270417,1424557,1441327,1477027,1604497,1646287,1673377
%N Initial members of quintuplets (p, p+4, p+12, p+16, p+24) of consecutive primes with the corresponding difference pattern:{4,8,4,8}.
%C Generalization of A022007. These primes are congruent to 7 modulo 10, so the realization of longer prime-difference pattern={4,8,4,8,4} is not already possible because the sum=4+8+4+8+4=28. Consequently, 10k+7+28=10m+5 cannot be a prime. Thus analogous generalization of A022008 is possible only with restrictions. See also Comment in A102335.
%e n=13147 prime is followed by {13151, 13159, 13163, 13171} primes. Observe that these patterns start and end with primes of 10k+7 and 10m+1 form respectively.
%Y Cf. A001223, A022007, A022008, A052162-A052168.
%K nonn
%O 1,1
%A _Labos Elemer_, Jan 07 2005
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