PATTERNS IN THE INFINITE
Twin Prime
Observatory.
Follow two numbers, two apart.
Explore where primes align and factors repeat.
YOUR STARTING POINT60k + 1160k + 13TWO LINES. ONE SHARED QUESTION.
Preparing the observatory…
TWIN PAIRS · FIRST LINE—
OBSERVED SHARE—
k WINDOW—
THE RESIDUE ATLAS
Look for the rhythm.
Each column is one k. The upper and lower dots represent mk + a and mk + a + 2. Outlines mark twin pairs. Select a column to inspect its numbers.
PrimeFactor 2 / 3 / 5Factor 7Factor 11Factor 13Factor ≥ 17Below 2
Select any pair to see its prime status and smallest factors.
FIELD NOTES
A window, not a proof.
These are exact results for a finite range. Residues can avoid some divisors, but they do not guarantee primes. A repeating pattern here does not establish infinitely many twin primes.
YOUR NOTEBOOK
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