# Honaker's problem

**Honaker's problem**asks for all consecutive prime number triples (

*p*,

*q*,

*r*) with

*p*<

*q*<

*r*such that

*p*divides

*qr*+1. It is likely that the only such triplets are (2, 3, 5), (3, 5, 7), and (61, 67, 71).

Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.