\begin{aligned} \text { 原式 } & =(7-1)(7+1)\left(7^2+1\right)\left(7^4+1\right)\left(7^8+1\right)+1 \\ & =\left(7^2-1\right)\left(7^2+1\right) /\left(7^4+1\right)\left(7^8+1\right)+1 \\ & =\left(7^4-1\right)\left(7^4+1\right)\left(7^8+1\right)+1 \\ & =\left(7^8-1\right)\left(7^8+1\right)+1 \\ & =7^{16}-1+1 \\ & =7^{16} \end{aligned}
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}