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Results tagged with nt.number-theory
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user 161811
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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answers
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Is $\sum_{k=1}^{n}\frac{(n-1)!}{(k-1)!}$ composite for $n\geq 4$?
Define $a_n$ as follows:
$$
a_1=1,\ \ a_{n+1}=na_n+1\
$$
At this time, the sequence $a_n$ is as follows:
$$
a_n=\sum_{k=1}^{n}\frac{(n-1)!}{(k-1)!}
$$
I made some discoveries about this sequence.
The …
- 163