prime numbers – algorithm for the distribution of totals of a primorial

For the number Primorial 210, which has 48 totals.

The specified ranges are given by 48/210.

48/210 in reduced fraction = 8/35.

Create a set of GCDs (210,48) = 6 fractions by adding 8 and 35 respectively
in the numerator and denominator of the reduced fraction 8/35:

8/35, 16/70, 24/105, 32/140, 40/175, 48/210.

Totals of 210 which are smaller and closer to each of the
the denominators: 35,70,105,140,175,210.

gives the totals: 31,67,103,139,173,209.

Verification of the remaining 48-6 = 42 totals,
there are 7 totals in 6 ranges separated by the
the totals 31,67,103,139,173,209.

(1,11,13,17,19,23,29),
(37,41,43,47,53,59,61),
(71,73,79,83,89,97,101),
(107,109,113,121,127,131,137),
(143,149,151,157,163,167,169),
(179,181,187,191,193,197,199).

(48-6) / 6 = 7. where 48 is the number of Primorial Totals number 210 = 48.
and the GCD of 210 and 48 = 6.

cheers,
Jamie