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Are these solutions of $2 = x^{x^{x^{\:\cdot^{\:\cdot^{\:\cdot}}}}}$ correct?

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#complex-numbers #roots #exponentiation #tetration #power-towers
6k
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Complexity class of comparison of power towers

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#number-theory #algorithms #computational-complexity #exponentiation #power-towers
657
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computing ${{27^{27}}^{27}}^{27}\pmod {10}$

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#elementary-number-theory #power-towers
1.5k
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Last few digits of $n^{n^{n^{\cdot^{\cdot^{\cdot^n}}}}}$

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#number-theory #elementary-number-theory #tetration #power-towers
1.1k
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Calculating the residue of power towers

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#modular-arithmetic #exponentiation #tetration #power-towers
25
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inequality $\Re\Bigg(\Bigg(1-\frac{W(-\ln(2a))}{\ln(2a)}\Bigg)^{1-\frac{1}{a}}+\Bigg(1-\frac{W(-\ln(2b))}{\ln(2b)}\Bigg)^{1-\frac{1}{b}}\Bigg)<1$

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#inequality #complex-numbers #exponentiation #lambert-w #power-towers
193
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Comparing power towers of $2$s and $3s$

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#inequality #algorithms #big-numbers #power-towers #number-comparison
94
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Infinite Power Tower approximation: float error?

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#exponentiation #approximation #tetration #power-towers
243
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Exponential Power Tower

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#exponentiation #power-towers
84
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Solving $a_{n+1} = x^{a_n}$ for various $x$

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#sequences-and-series #convergence-divergence #recurrence-relations #tetration #power-towers
117
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What is 333^333^333 in mod 17

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#discrete-mathematics #modular-arithmetic #power-towers
100
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Solution verification: Derivative of the infinite power tower $y(x) = x^{x^⋰}$

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#calculus #derivatives #solution-verification #power-towers
271
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Area under $\frac{1}{x^x}$ curve

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#calculus #integration #riemann-sum #tetration #power-towers
180
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Is it correct for $\int {x^x}\, dx $?

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#calculus #integration #error-function #power-towers
284
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Integrating an Infinite exponent tower

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#calculus #integration #power-towers

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