Aurifeuillian Factorization/Examples/3^6n+3 + 1

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Example of Aurifeuillian Factorization

$3^{6 n + 3} + 1 = 3^{2 n + 1} \paren {3^{2 n + 1} - 3^{n + 1} + 1} \paren {3^{2 n + 1} + 3^{n + 1} + 1}$