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twin primes
A member of a pair of consecutive primes whose difference is 2. more

The first 600 twin primes :

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 6849011 values, from 3 to 999999193).

n\r 0  1
206849011 2
3134245053424505 3
40342450503424506 4
512282376114212911412182283287 5
6034245050103424505 6
711370191684919137031613696066847081369270 7
801712651017124920171185401712014 8
9011412501140981111409811142274011422741141250 9
100228237601141218010114212902283287 10
111760830380905761122761038761497760144760786760872380267761549

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.