Any-integer-s-which-fulfill-n-3-5n-2-5n-1-n-

Question Number 61778 by naka3546 last updated on 08/Jun/19

A n y i n t e g e r (s) w h i c h f u l f i l l

n^{3} - 5 n^{2} + 5 n + 1 ∣ n! ?

Answered by MJS last updated on 08/Jun/19

\frac{n!}{n^{3} - 5 n^{2} + 5 n + 1} \in Z

n =

0

2

3

83

84

126

181

239

294

\dots

Commented by naka3546 last updated on 08/Jun/19

b y t r y i n g o r b y e x a c t s o l v i n g ?

Commented by MJS last updated on 08/Jun/19

we cannot solve exactly, we can only try

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