List questions from decimal-expansion

Published on 30 Dec 2019 - 20:52

65

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Numbers whose decimal expansions are their own continued fractions.

Published on 26 Mar 2026 - 14:42

3.2k

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Why does this pattern occur: $123456789 \times 8 + 9 = 987654321$

Published on 31 Dec 2019 - 0:23

226

Views

The period length of the decimal expression for a rational number $1/n$ has lower bound $1$.

Published on 31 Dec 2019 - 11:33

65

Views

Calculate the sum of the digits of $(9 \cdot 10 ^ m) \cdot (111 ... 111)^2 + (2 \cdot10 ^ m) \cdot 111 ... 111 + 111 ... 111$

Published on 02 Jan 2020 - 19:13

581

Views

Did I discover something new? How do I prove it?

Published on 02 Jan 2020 - 20:42

501

Views

Maximum number of different decimal digits in $p/q$ for $p , q \in \Bbb Z$.

Published on 06 Jan 2020 - 11:08

100

Views

A proof about period length

Published on 27 Mar 2026 - 2:15

37

Views

Last digits of fast-growing hierarchy numbers

Published on 12 Jan 2020 - 0:14

1k

Views

Searching for rock-hard integers.

Published on 27 Mar 2026 - 1:35

917

Views

Proof that $\sqrt{2}$ is normal in base 2

Published on 15 Jan 2020 - 0:00

410

Views

Conjecture about the distribution of $0/1$ in the binary expansion of rational numbers

Published on 18 Jan 2020 - 6:00

615

Views

Does 1/3 have a unique decimal representation?

Published on 19 Jan 2020 - 16:25

59

Views

Digits & Squares

Published on 28 Mar 2026 - 8:11

2.5k

Views

$2^n$th decimal place of $\sqrt{2}.$

Published on 24 Jan 2020 - 2:42

List Question

Why does the number $2701$ always return to $703$?

Numbers whose decimal expansions are their own continued fractions.

Why does this pattern occur: $123456789 \times 8 + 9 = 987654321$

The period length of the decimal expression for a rational number $1/n$ has lower bound $1$.

Calculate the sum of the digits of $(9 \cdot 10 ^ m) \cdot (111 ... 111)^2 + (2 \cdot10 ^ m) \cdot 111 ... 111 + 111 ... 111$

Did I discover something new? How do I prove it?

Maximum number of different decimal digits in $p/q$ for $p , q \in \Bbb Z$.

A proof about period length

Last digits of fast-growing hierarchy numbers

Searching for rock-hard integers.

Proof that $\sqrt{2}$ is normal in base 2

Conjecture about the distribution of $0/1$ in the binary expansion of rational numbers

Does 1/3 have a unique decimal representation?

Digits & Squares

$2^n$th decimal place of $\sqrt{2}.$

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