For example, is a Honaker prime because
.
The two smallest Honaker primes for which
the sum of the digits is less than the number of digits of
are
and
.
is the earliest chain
of length 2. Chains of length 3 and 4 start with
and
.
The smallest prime which is Honaker in all the bases from 2
to 10 is .
The first Honaker primes are 131, 263, 457, 1039, 1049, 1091, 1301, 1361, 1433, 1571, 1913, 1933, 2141, 2221, 2273, 2441 more terms and their indexes are, 32, 56, 88, 175, 176, 182, 212, 218, 227, 248, 293, 295, 323, 331, 338, 362, respectively.