Let p be a prime number. Question is for any prime value of p the polynomial $$1+\frac{x}{1!}+\frac{x^2}{2!}+\frac{x^3}{3!}+...++\frac{x^p}{p!}$$ is irreducable. I found out that it seems like a taylor series but I couldnt solve the question.
2026-03-25 14:32:23.1774449143
Show that prime polynomial is irreducablr
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Multiply by $p!$, and apply the Schönemann-Eisenstein theorem with the prime $p$.