A number
is called
modest if its digits can be separated
into two numbers
and
such that
divided by
gives
as
remainder.
For example, 2851111 is modest because divided by 1111 gives 285 as remainder.
The first modest numbers are
13, 19, 23, 26, 29, 39, 46, 49, 59, 69, 79, 89, 103, 109, 111, 133, 199, 203, 206, 209, 211, 218, 222, 233, 266 more terms
Pictorial representation of remainders (mod 2, 3, ...,11) frequency. For a table of values and more details
click here
A graph displaying how many modest numbers are multiples of the primes
p from 2 to 71. In black the ideal line 1/
p.