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Milin
Milin
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I learned this interesting theorem but cannot remember from where since a long time has passed. What I'm wondering now is: DoDoes someone know some constants which this theorem holds? ie, give out some values of $a$, such that $[a^n]$ is always prime for $n\in N^+$(where $[\cdots]$ denotes integral part of a real number and $N^+$ is the set of positive integers).

I learned this interesting theorem but cannot remember from where since a long time has passed. What I'm wondering now is: Do someone know some constants which this theorem holds? ie, give out some values $a$, such that $[a^n]$ is always prime for $n\in N^+$(where $[\cdots]$ denotes integral part of a real number and $N^+$ is the set of positive integers).

I learned this interesting theorem but cannot remember from where since a long time has passed. What I'm wondering now is: Does someone know some constants which this theorem holds? ie, give some values of $a$, such that $[a^n]$ is always prime for $n\in N^+$(where $[\cdots]$ denotes integral part of a real number and $N^+$ is the set of positive integers).

Source Link
Milin
Milin
  • 395
  • 3
  • 9

Constant $a$ such that $[a^n]$ is always prime for $n\in N^+$

I learned this interesting theorem but cannot remember from where since a long time has passed. What I'm wondering now is: Do someone know some constants which this theorem holds? ie, give out some values $a$, such that $[a^n]$ is always prime for $n\in N^+$(where $[\cdots]$ denotes integral part of a real number and $N^+$ is the set of positive integers).