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hungry numbers
The n-th hungry number is the smallest k such that the first n decimal digits of π appear in the representation of 2k. more

The hungry numbers up to 108 :

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 12 values, from 5 to 33662541).

n\r 0  1 
239 2 
3345 3 
41623 4 
522116 5 
6131214 6 
73303210 7 
814210202 8 
9111223011 9 
101201210104 10 

A pictorial representation of the table above
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.