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A095392 Numbers n such that more than half of the reduced-residue system modulo 210 consists of primes in the following sense: in {210n + R} more than 24 = phi(210)/2 primes occur, i.e., 25-33, 35, 46.

%I A095392 #13 Jul 27 2017 04:18:34
%S A095392 1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,20,22,23,26,27,29,31,36,41,44,
%T A095392 46,48,56,59,70,72,74,95,109,113,114,127,132,136,148,312,321,347,428,
%U A095392 506,538,551,1274,1296,1442,2875,4576,5504,6928,7870,12880,15745,17518
%N A095392 Numbers n such that more than half of the reduced-residue system modulo 210 consists of primes in the following sense: in {210n + R} more than 24 = phi(210)/2 primes occur, i.e., 25-33, 35, 46.
%F A095392 Solutions to A095390(x) > 24 = phi(210).
%e A095392 210n + r, where r runs through RRS of 210 corresponds to prime-difference patterns with several relatively small first prime differences.
%e A095392 n=18543: 210*18543 + r includes 26 primes with the following difference pattern: {2,4,2,4,30,18,2,10,6,12,2,18,6,10,2,12,12,4,6,8,6,6,4,2,10}.
%t A095392 {k=0};Do[{m=0}; Do[s=210k+r; s1=210k+r+2;If[PrimeQ[s], m=m+1], {r, 1, 210}]; If[Greater[m, 24], Print[{m, k}]], {k, 0, 10000000}]
%Y A095392 Cf. A095389, A095390, A095391.
%K A095392 nonn
%O A095392 1,2
%A A095392 _Labos Elemer_, Jun 16 2004