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enlightened numbers
A composite number that begins with the concatenation of its distinct prime factors. more

The enlightened numbers up to 5.57×1011 :

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 106 values, from 250 to 557041015625).

n\r 0  1 
27828 2 
3454120 3 
47114714 4 
54419111715 5 
62771718343 6 
72321101415914 7 
8669565528 8 
94345115111224 9 
10305941214142133 10 
1178818912782072

A pictorial representation of the table above
motab
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.