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help for tedious counting problem

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#exponentiation #maxima-minima #integers
92
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Can any Power function (whose base is not zero) , e.g. $2^{n}$, be defined arithmetically (i.e. using addition and multiplication only)?

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#elementary-number-theory #exponentiation #arithmetic-functions #perfect-powers
118
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Can you precisely calculate $x^{\pi}$ (up to first 200 decimals) without a computer?

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#exponentiation #pi
196
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How is this read correctly (problem with brackets)? 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 }

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#calculus #arithmetic #computer-science #exponentiation #products
211
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Solving $\int ^{1}_{0}{(-1)^x}dx$

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#integration #complex-numbers #exponentiation
1.1k
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Why does multiplication by purely imaginary numbers, regardless of magnitude, not cause purely rotation?

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#complex-numbers #vector-spaces #exponentiation
283
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Proof real to the power of real

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#real-analysis #exponentiation #real-numbers
50
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Prove $\forall k\geq 4,\log(1+x_k)-x_k\leq {-1\over6k}$ where $x_k={(-1)^k\over\sqrt k}$

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#inequality #logarithms #exponentiation
235
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Which one is bigger $100^{300}$ or $300!$?

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#asymptotics #arithmetic #exponentiation #factorial
65
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New inequality involving exponent

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#real-analysis #inequality #exponentiation
1.2k
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How to show that $\pi^\pi$ is not a integer?

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#number-theory #elementary-number-theory #exponentiation #pi
39
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Solve to get a value for $y.$

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#algebra-precalculus #exponentiation
37
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Power of prime ending with specified suffix

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#number-theory #modular-arithmetic #exponentiation
125
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Closed form for the series $a+a^p+(a^p)^p+\dots$

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#calculus #summation #power-series #exponentiation
92
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Does this specific property exist for Modular Exponentiation?

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#number-theory #elementary-number-theory #prime-numbers #modular-arithmetic #exponentiation

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