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Post Closed as "Not suitable for this site" by Gro-Tsen, Peter Heinig, user6976, Mikhail Katz, Stefan Kohl♦
Mainly stylistic corrections ('ending sequence' replaced by something more informative).
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Peter Heinig
Peter Heinig
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Let $p$ be any odd number, and compute $1/p$ to $p$ decimal places. Compare your answer with the string that is formed by appending all remainders of $(10^n\ \text{mod p}) \text{ mod p}$ where ${0 < n < p}$. You will find that all answers are the same for all ${p}$'s of the form ${10k + 9}$.

Here is a strange property of $109$. The decimal expansion of $1/109$ contains the Fibonacci sequence, the ending sequenceend of the period of the non-terminating periodic decimal expansion of $1/109$ is $...7247706422018348623853211$, from right to left is the Fibonacci sequence (if the sum $f_{n - 1} + f_{n - 2}$ is greater than 10, then carry $1$ and add it to the next term).

MY QUESTIONS

  1. isIs there any number $p$ apart fromother than $109$ whose $1/p$reciprocal is a fibonacciFibonacci sequence?
  2. isIs there any published work about this?

Let $p$ be any odd number, and compute $1/p$ to $p$ decimal places. Compare your answer with the string that is formed by appending all remainders of $(10^n\ \text{mod p}) \text{ mod p}$ where ${0 < n < p}$. You will find that all answers are the same for all ${p}$'s of the form ${10k + 9}$.

Here is a strange property of $109$. The decimal expansion of $1/109$ contains the Fibonacci sequence, the ending sequence is $...7247706422018348623853211$, from right to left is the Fibonacci sequence (if the sum $f_{n - 1} + f_{n - 2}$ is greater than 10, then carry $1$ and add it to the next term).

MY QUESTIONS

  1. is there any number $p$ apart from $109$ whose $1/p$ is a fibonacci sequence?
  2. is there any published work about this?

Let $p$ be any odd number, and compute $1/p$ to $p$ decimal places. Compare your answer with the string that is formed by appending all remainders of $(10^n\ \text{mod p}) \text{ mod p}$ where ${0 < n < p}$. You will find that all answers are the same for all ${p}$'s of the form ${10k + 9}$.

Here is a strange property of $109$. The decimal expansion of $1/109$ contains the Fibonacci sequence, the end of the period of the non-terminating periodic decimal expansion of $1/109$ is $...7247706422018348623853211$, from right to left is the Fibonacci sequence (if the sum $f_{n - 1} + f_{n - 2}$ is greater than 10, then carry $1$ and add it to the next term).

MY QUESTIONS

  1. Is there any number $p$ other than $109$ whose reciprocal is a Fibonacci sequence?
  2. Is there any published work about this?
Purely grammatical corrections in title and OP text. Style and content respected.
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Peter Heinig
Peter Heinig
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is Is there any number apart fromother than 109 whose reciprocal fraction contains fibonaccithe Fibonacci sequence?

letLet $p$ be any odd number, thenand compute $1/p$ up to $p$ decimal places. compareCompare your answer with the string that is formed by appending all remindersremainders of $(10^n\text{mod p}) \text{ mod p}$$(10^n\ \text{mod p}) \text{ mod p}$ where ${0 < n < p}$. youYou will find that all answers are the same for all ${p}$'s of the form ${10k + 9}$.

hereHere is a strange property of $109$. $1/p$The decimal expansion of $109$$1/109$ contains fibonaccithe Fibonacci sequence, the ending sequence is $...7247706422018348623853211$, from right to left is the fibonacciFibonacci sequence, if (if the sum, $f_{n - 1} + f_{n - 2}$, is greater than 10, then carry $1$ and add it to the next term).

MY QUESTIONS

  1. is there any number $p$ apart from $109$ whose $1/p$ is a fibonacci sequence?
  2. is there any published work about this?

is there any number apart from 109 whose reciprocal fraction contains fibonacci sequence?

let $p$ be any odd number, then compute $1/p$ up to $p$ decimal places. compare your answer with string that is formed by appending all reminders of $(10^n\text{mod p}) \text{ mod p}$ where ${0 < n < p}$. you will find that all answers are the same for all ${p}$'s of the form ${10k + 9}$.

here is a strange property of $109$. $1/p$ of $109$ contains fibonacci sequence, the ending sequence is $...7247706422018348623853211$, from right to left is the fibonacci sequence, if the sum, $f_{n - 1} + f_{n - 2}$, is greater than 10, then carry $1$ and add it to the next term.

MY QUESTIONS

  1. is there any number $p$ apart from $109$ whose $1/p$ is a fibonacci sequence?
  2. is there any published work about this?

Is there any number other than 109 whose reciprocal contains the Fibonacci sequence?

Let $p$ be any odd number, and compute $1/p$ to $p$ decimal places. Compare your answer with the string that is formed by appending all remainders of $(10^n\ \text{mod p}) \text{ mod p}$ where ${0 < n < p}$. You will find that all answers are the same for all ${p}$'s of the form ${10k + 9}$.

Here is a strange property of $109$. The decimal expansion of $1/109$ contains the Fibonacci sequence, the ending sequence is $...7247706422018348623853211$, from right to left is the Fibonacci sequence (if the sum $f_{n - 1} + f_{n - 2}$ is greater than 10, then carry $1$ and add it to the next term).

MY QUESTIONS

  1. is there any number $p$ apart from $109$ whose $1/p$ is a fibonacci sequence?
  2. is there any published work about this?
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Esdras E E Dansha
Esdras E E Dansha
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is there any number apart from 109 whose reciprocal fraction contains fibonacci sequence?

let $p$ be any odd number, then compute $1/p$ up to $p$ decimal places. compare your answer with string that is formed by appending all reminders of $(10^n\text{mod p}) \text{ mod p}$ where ${0 < n < p}$. you will find that all answers are the same for all ${p}$'s of the form ${10k + 9}$.

here is a strange property of $109$. $1/p$ of $109$ contains fibonacci sequence, the ending sequence is $...7247706422018348623853211$, from right to left is the fibonacci sequence, if the sum, $f_{n - 1} + f_{n - 2}$, is greater than 10, then carry $1$ and add it to the next term.

MY QUESTIONS

  1. is there any number $p$ apart from $109$ whose $1/p$ is a fibonacci sequence?
  2. is there any published work about this?