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Special power towers

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#number-theory #power-towers
2k
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What is the derivative of ${}^xx$

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#derivatives #tetration #power-towers
61
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Summation of $2^{(-2^{n})}$

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#summation #power-towers
259
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Prime factors of a sum of special power towers

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#number-theory #power-towers #prime-factorization
27
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Sufficient condition for an equivalence

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#number-theory #modular-arithmetic #power-towers
1.5k
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Find the last two digits of $9^{9^{9}}$

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#elementary-number-theory #modular-arithmetic #power-towers
15.9k
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x raised to itself infinite number of times

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#exponentiation #power-towers
1k
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Show that the iterated $\ln^{[n]}$ of tetration(x,n) is nowhere analytic

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#real-analysis #complex-analysis #analyticity #tetration #power-towers
130
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Condition for existence of solution to a power-tower equation.

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#real-analysis #power-towers
229
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How can I solve this infinite exponent tower?

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#calculus #exponential-function #power-towers
583
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How to efficiently find a prime number $x$ raised to the power $x$ $k$ times modulo $m$?

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#number-theory #modular-arithmetic #power-towers
1.2k
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Infinite Power Tower

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#exponentiation #tetration #power-towers
1.3k
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Compute modulo of prime power tower

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#prime-numbers #modular-arithmetic #totient-function #power-towers
1.5k
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A new interesting pattern to $i\uparrow\uparrow n$ that looks cool (and $z\uparrow\uparrow x$ for $z\in\mathbb C,x\in\mathbb R$)

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#algebra-precalculus #complex-numbers #recreational-mathematics #tetration #power-towers
128
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Modular power tower mapping, is it injective?

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#modular-arithmetic #power-towers

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