Question

Supremum of arc lengths of graphs of power towers

score 89 · Answer 1 · 2026-03-25 11:04:56

89

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Supremum of arc lengths of graphs of power towers

Published on 25 Mar 2026 - 11:04

score 101 · Answer 2 · 2026-03-25 09:53:28

101

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Pattern in power towers of 2 involving last digits

Published on 25 Mar 2026 - 9:53

score 197 · Answer 3 · 2019-04-13 11:04:54

197

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A different type of infinite power tower function

Published on 13 Apr 2019 - 11:04

score 244 · Answer 4 · 2026-03-24 22:08:32

244

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

Published on 24 Mar 2026 - 22:08

score 49 · Answer 5 · 2019-05-02 12:05:31

49

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Differentiation equations with a power tower

Published on 02 May 2019 - 12:05

score 148 · Answer 6 · 2019-05-12 18:03:17

148

Views

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

Published on 12 May 2019 - 18:03

score 90 · Answer 7 · 2019-05-23 03:37:25

90

Views

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

Published on 23 May 2019 - 3:37

score 63 · Answer 8 · 2019-05-27 06:53:19

63

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 27 May 2019 - 6:53

score 98 · Answer 9 · 2019-06-01 22:33:36

98

Views

Calculating accumulation

Published on 01 Jun 2019 - 22:33

score 173 · Answer 10 · 2019-07-01 18:10:41

173

Views

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

Published on 01 Jul 2019 - 18:10

score 151 · Answer 11 · 2019-07-04 23:05:10

151

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 04 Jul 2019 - 23:05

score 423 · Answer 12 · 2026-03-25 11:26:01

423

Views

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

Published on 25 Mar 2026 - 11:26

score 296 · Answer 13 · 2019-08-29 13:23:51

296

Views

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

Published on 29 Aug 2019 - 13:23

score 304 · Answer 14 · 2019-09-01 05:30:36

304

Views

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

Published on 01 Sep 2019 - 5:30

score 77 · Answer 15 · 2019-09-13 13:16:04

77

Views

Solving congruence with powers

Published on 13 Sep 2019 - 13:16

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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