Bernoulli numbers and arithmetic progressions

[Hans Havermann]

Richard Guy wrote:

> Evidently yet another manifestation of the Law of Small Numbers.

>> {666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666,
>> 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666,
>> 666, 666, 666, 1332, 666, 666, 666, 1332, 111, 1221, 148, 1184, 185,
>> 1147, 222, 1110, 259, 1073, 296, 1036, 333, 999, 370, 962, 407, ...}

Here I was mindlessly ignoring *every* third congruence when I should 
have thought: Ignore every third congruence 15 times, then the sixth 
congruence, then the fifth congruence. Repeat. :)