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modulii for primes making the 100-tuples.

See the example for more information

The 100-tuple is expressed as the set of integers from x+1 to x+559,
where x satisfies x=p1*n1+r1, x=p2*n2+r2, x=p3*n3+r3 ...
p1,p2,p3 ... are the primes 2,3,5 ...
r1,r2,r3 ... are the residues listed below
and n1,n2,n3 ... are integer multipliers.

Also, x could be expressed as x=C*n+R, where the value of C and R
could be determined using the residues and the Chinese Remainder
Theorem.

2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37
 
{559; 0 , 0 , 0 , 3 , 4 , 12 , 11 , 18 , 19 , 27 , , 18}
{559; 0 , 0 , 0 , 3 , 4 , 12 , 11 , 18 , 19 , 27 , , 27}
{559; 0 , 2 , 0 , 4 , 6 , 2 , 5 , 10 , 12 , 11 , , 15}
{559; 0 , 2 , 0 , 4 , 6 , 2 , 5 , 10 , 12 , 11 , , 24}