First, please see **the following remarkable patterns**

Computing the repeating sequences of
**1/p for 2 ≤ p < 100, prime except p=2, 5.**

Explanation for the repeating sequences of 1/p and factors of
**
repunit (10 ^{n}|1)/9 : 11...11, repetition of "1").**

In order to understand this problem, please try to solve the following questions.

- Q1 Repeating sequence of 1/73
- Q2 Factorization of 11111111

- How to compute a repeating sequence
- Property of pattern of repeating decimal
- How to find the fraction from the repeating sequence
- General case
- Remarkable patterns

Chapter 4 n=x ^{3}+y^{3}+z^{3} |
"Mathematician's Secret Room" | Chapter 6 Additive Palindromicness of Natural Numbers |
---|---|---|

Chapter 4 (Japanese) | index (Japanese) | Chapter 6 (Japanese) |

E-mail : kc2h-msm@asahi-net.or.jpHisanori Mishima