# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a277119 Showing 1-1 of 1 %I A277119 #25 Nov 14 2016 13:11:07 %S A277119 470,746,995,3061,3425,3486,11359,12233,16181,17142,18717,24976,30991, %T A277119 48138,61882,62293,63833,99770,103132,110651,111769,112407,117282, %U A277119 138939,149251,150296,161457,173581,174029,176096,188691,221737,225322,233565,235084,237651,262176,266889,279382,281398,284617,290328,292830 %N A277119 Numbers n such that A277118(n) = 17. %C A277119 A277118 takes only the values 0, 3, 5, 7, 9, 11, 13, 15, and 17, so these are the indices of maximal terms in A277118. %C A277119 Let p=A001359(n-1). Then n is in the sequence if and only if we have seven consecutive primes: either {p=30t+29 (t>=0),p+2,p+8,p+12,p+18,p+24,p+30} or {p,p+2,p+8,p+14,p+20,p+24,p+30} or {p,p+2,p+8,p+14,p+18,p+24,p+30}, but p+32 is composite. In the case, when also p+32 is prime, the numbers %C A277119 {n} form sequence A277512. %H A277119 Vladimir Shevelev, Peter J. C. Moses, Constellations of primes generated by twin primes, arXiv:1610.03385 [math.NT], 2016. %e A277119 a(1)=470, then we have seven primes: p=A001359(469) =30089, 30091, 30097, 30103,30109,30113,30119, but 30121 is composite (cf. comment). %Y A277119 Cf. A001359, A277118, A277512. %K A277119 nonn %O A277119 1,1 %A A277119 _Vladimir Shevelev_ and _Peter J. C. Moses_, Sep 30 2016 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE