A277119 Numbers n such that A277118(n) = 17.

470, 746, 995, 3061, 3425, 3486, 11359, 12233, 16181, 17142, 18717, 24976, 30991, 48138, 61882, 62293, 63833, 99770, 103132, 110651, 111769, 112407, 117282, 138939, 149251, 150296, 161457, 173581, 174029, 176096, 188691, 221737, 225322, 233565, 235084, 237651, 262176, 266889, 279382, 281398, 284617, 290328, 292830

Offset: 1

Author

Vladimir Shevelev and Peter J. C. Moses, Sep 30 2016

Keywords

• nonn

Comments

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.

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

{n} form sequence A277512.

Examples

			a(1)=470, then we have seven primes: p=A001359(469) =30089, 30091, 30097, 30103,30109,30113,30119, but 30121 is composite (cf. comment).
		

Links

• Vladimir Shevelev, Peter J. C. Moses, Constellations of primes generated by twin primes, arXiv:1610.03385 [math.NT], 2016.

Crossrefs

Cf. A001359, A277118, A277512.