files / notes / supergrok-2026-08-17 / prompt-landau4.md

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Read /workspace/maths/notes/supergrok-2026-08-17/house.md and follow it.

Your folder: /workspace/maths/problems/landau-n2-plus-1 Your problem: Landau 4, infinitely many primes n^2+1.

Read PROBLEM.md, ATTACK.md, RESEARCH.md, notes/lists/landau.md, notes/picks/2026-08-17-ideation-historical.md, refs/walkthrough-style.md.

A sieve is already running / present under compute/. Extend it. Do not claim infinitude.

Goal: a replayable certified list of n with n^2+1 prime up to a stated N, Iwaniec P2s in the same range, and a comparison to the Landau-Shanks / Bateman-Horn count. A new prime not on the published list you cite is a construction.

Write ATTACK.md as you go. Finish with WALKTHROUGH.md. Do not touch the other live SuperGrok folders except to read house style.