files / problems / landau-n2-plus-1 / compute / LEAVES.md

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Finite handles

Prefer an open leaf. One leaf per campaign folder.

Leaf Required evidence State
Certified prefix n≤106n\le 10^6 Residue sieve plus independent trial+Pollard; Wolf πq(1012)=54110\pi_q(10^{12})=54110 certified (compute/)
Certified prefix n≤107n\le 10^7 C residue sieve plus independent C/Python trial+Pollard; Wolf πq(1014)=456362\pi_q(10^{14})=456362 certified (q2/)
Certified prefix n≤108n\le 10^8 C residue sieve plus independent C trial+Pollard; Wolf πq(1016)=3954181\pi_q(10^{16})=3954181; Ω=2\Omega=2 count 1217298312172983 certified (q3/)
A prime n2+1n^2+1 off Grantham–Graves Construction with n≳2.5×1014n\gtrsim 2.5\times 10^{14} blocked (range)

The Iwaniec P2P_2 table on a stated range is not in Wolf, OEIS A083844, or Grantham–Graves. Infinitude of primes n2+1n^2+1 is not a finite handle.