Question

Supremum of arc lengths of graphs of power towers

score 91 · Answer 1 · 2026-04-14 20:17:59

91

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Supremum of arc lengths of graphs of power towers

Published on 14 Apr 2026 - 20:17

score 104 · Answer 2 · 2026-05-10 20:40:43

104

Views

Pattern in power towers of 2 involving last digits

Published on 10 May 2026 - 20:40

score 200 · Answer 3 · 2026-04-14 09:11:37

200

Views

A different type of infinite power tower function

Published on 14 Apr 2026 - 9:11

score 247 · Answer 4 · 2026-05-10 16:00:50

247

Views

Compare different base powers-towers (of 'height' five)?

Published on 10 May 2026 - 16:00

score 53 · Answer 5 · 2026-04-14 08:33:21

53

Views

Differentiation equations with a power tower

Published on 14 Apr 2026 - 8:33

score 151 · Answer 6 · 2026-04-16 08:37:22

151

Views

Calculate $2^{2^{2^{\cdot^{\cdot^{2}}}}} \mod 2016$

Published on 16 Apr 2026 - 8:37

score 93 · Answer 7 · 2026-04-12 14:13:44

93

Views

Equation whose solution is a finite tower of $2's$

Published on 12 Apr 2026 - 14:13

score 66 · Answer 8 · 2026-04-14 05:31:40

66

Views

Is there a simpler way to sum the first $n$ terms of the sequence of numbers starting at 2 and squaring to get the next?

Published on 14 Apr 2026 - 5:31

score 104 · Answer 9 · 2026-05-13 23:54:06

104

Views

Calculating accumulation

Published on 13 May 2026 - 23:54

score 176 · Answer 10 · 2026-04-15 17:41:54

176

Views

Does $x^{x^{x^{x^{x^{\,\,\style{display: inline-block; transform: rotate(60deg)}{\vdots}}}}}} =y$ imply $2=4$?

Published on 15 Apr 2026 - 17:41

score 154 · Answer 11 · 2026-04-16 10:48:23

154

Views

The digital root of a tower of exponents, $d(\underset{\text{The number of }2 \text{'s is }2013}{\underbrace{2^{2^{2^{.^{.^{.^{2}}}}}}}})$

Published on 16 Apr 2026 - 10:48

score 426 · Answer 12 · 2026-05-10 21:55:58

426

Views

How iterated exponential $\exp^{[\circ x]}(y)$, $y\neq 1$, defined based on tetration?

Published on 10 May 2026 - 21:55

score 299 · Answer 13 · 2026-04-16 03:38:43

299

Views

The units digit of a power tower of consecutive numbers, from 2019 to 1

Published on 16 Apr 2026 - 3:38

score 307 · Answer 14 · 2026-04-16 18:12:32

307

Views

The units digit of $(((\dots((2018^{2017})^{2016})^{.^{.^{.}}})^3)^2)^1$

Published on 16 Apr 2026 - 18:12

score 80 · Answer 15 · 2026-04-09 22:59:47

80

Views

Solving congruence with powers

Published on 09 Apr 2026 - 22:59

List Question

Supremum of arc lengths of graphs of power towers

Pattern in power towers of 2 involving last digits

A different type of infinite power tower function

Compare different base powers-towers (of 'height' five)?

Differentiation equations with a power tower

Calculate $2^{2^{2^{\cdot^{\cdot^{2}}}}} \mod 2016$

Equation whose solution is a finite tower of $2's$

Is there a simpler way to sum the first $n$ terms of the sequence of numbers starting at 2 and squaring to get the next?

Calculating accumulation

Does $x^{x^{x^{x^{x^{\,\,\style{display: inline-block; transform: rotate(60deg)}{\vdots}}}}}} =y$ imply $2=4$?

The digital root of a tower of exponents, $d(\underset{\text{The number of }2 \text{'s is }2013}{\underbrace{2^{2^{2^{.^{.^{.^{2}}}}}}}})$

How iterated exponential $\exp^{[\circ x]}(y)$, $y\neq 1$, defined based on tetration?

The units digit of a power tower of consecutive numbers, from 2019 to 1

The units digit of $(((\dots((2018^{2017})^{2016})^{.^{.^{.}}})^3)^2)^1$

Solving congruence with powers

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