A098423 Primes occurring in exactly three prime triples (p,q,r) with p<q<r=p+6.

11, 13, 17, 103, 107, 1487, 1873, 3463, 5653, 15733, 16063, 16067, 19423, 19427, 21017, 22277, 43783, 43787, 55337, 79693, 88813, 101113, 144167, 165707, 166847, 195737, 201827, 225347, 247607, 257863, 266683, 268817, 276043, 284743

Offset

1,1

Comments

A098418(a(n)) = 3; subsequence of A098420.

This sequence consists of all integers of the form (prime(m)*prime(m+4)+36)/prime(m+2), for m>0, where prime(m) = A000040(m). Also note that the integers resulting from that rule equal prime(m+2), therefore a(n) also consists of all integers of the form sqrt[prime(m)*prime(m+4)+36]. - Richard R. Forberg, Jan 11 2016

Links

Table of n, a(n) for n=1..34.

Eric Weisstein's World of Mathematics, Prime Triplet

Example

A000040(27)=103: A007529(11)=103, A098414(10)=103 and A098415(9)=103, therefore 103 is a term.

Crossrefs

Cf. A098419, A098421, A098422.

Sequence in context: A087776 A098031 A179208 * A178339 A088561 A211457

Adjacent sequences: A098420 A098421 A098422 * A098424 A098425 A098426

Keyword

nonn

Author

Reinhard Zumkeller, Sep 07 2004

Status

approved