Question

Numbers greater than $26033514998417$ that can be expressed as a sum of two positive 4th powers in more than 1 way

score 105 · Answer 1 · 2026-04-10 20:49:53

105

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Numbers greater than $26033514998417$ that can be expressed as a sum of two positive 4th powers in more than 1 way

Published on 10 Apr 2026 - 20:49

score 63 · Answer 2 · 2026-04-11 16:39:39

63

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How do I solve this: $a^{x^y}$

Published on 11 Apr 2026 - 16:39

score 84 · Answer 3 · 2026-04-10 08:01:25

84

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Is there a formula to equally distribute increases over many steps exponentially?

Published on 10 Apr 2026 - 8:01

score 217 · Answer 4 · 2026-04-16 16:57:05

217

Views

$3^n$ as sum of powers of $2$

Published on 16 Apr 2026 - 16:57

score 88 · Answer 5 · 2026-04-16 03:28:36

88

Views

if $f(x)=x^x$, find $f^{(n)}(x)$ as $n→∞$

Published on 16 Apr 2026 - 3:28

score 181 · Answer 6 · 2026-04-16 20:20:42

181

Views

How to reach from $2^{n} < n^{8}$ to $2 \leq n \leq 43$

Published on 16 Apr 2026 - 20:20

score 448 · Answer 7 · 2026-04-16 17:57:05

448

Views

Is $y’=x^y\implies xy’’-x\ln(x)y’^2-yy’=0,y’=y^x\implies xy'(x)^4-y(x)y'(x)^2 \left(xy''(x)+2y'(x)\right)+y(x)^2\left(y'''(x)y'(x)-y''(x)^2\right)=0$?

Published on 16 Apr 2026 - 17:57

score 269 · Answer 8 · 2026-04-15 02:41:02

269

Views

For every positive integer $a$, find a composite number $n$ such that $n|a^n -a$.

Published on 15 Apr 2026 - 2:41

score 820 · Answer 9 · 2026-04-11 22:31:54

820

Views

Expressing exponential form to trigonometric form

Published on 11 Apr 2026 - 22:31

score 174 · Answer 10 · 2026-04-13 12:24:07

174

Views

What is the sum of a binomial series where the bionomials terms are raised to a power?: $ \sum\limits_{k=0}^\infty \binom{n}{k}^dx^k$

Published on 13 Apr 2026 - 12:24

score 102 · Answer 11 · 2026-04-14 19:16:04

102

Views

Find all whole numbers $n > 2$ such that $ n^{\frac{n-2}{n}} $ is whole.

Published on 14 Apr 2026 - 19:16

score 74 · Answer 12 · 2026-04-15 16:43:08

74

Views

Constructing real exponents and related properties using solely $\lim_{n\to\infty }\left( 1+\dfrac{1}{n}\right) ^{n}$

Published on 15 Apr 2026 - 16:43

score 81 · Answer 13 · 2026-04-16 09:59:38

81

Views

The formula of $(a_1 + a_2 + a_3 + a_4)^2$

Published on 16 Apr 2026 - 9:59

score 305 · Answer 14 · 2026-04-09 21:16:20

305

Views

What is the identity number for exponentiation/logarithm?

Published on 09 Apr 2026 - 21:16

score 794 · Answer 15 · 2026-04-12 12:20:08

794

Views

How to prove that $(x^a)^b=x^{ab}$

Published on 12 Apr 2026 - 12:20

List Question

Numbers greater than $26033514998417$ that can be expressed as a sum of two positive 4th powers in more than 1 way

How do I solve this: $a^{x^y}$

Is there a formula to equally distribute increases over many steps exponentially?

$3^n$ as sum of powers of $2$

if $f(x)=x^x$, find $f^{(n)}(x)$ as $n→∞$

How to reach from $2^{n} < n^{8}$ to $2 \leq n \leq 43$

Is $y’=x^y\implies xy’’-x\ln(x)y’^2-yy’=0,y’=y^x\implies xy'(x)^4-y(x)y'(x)^2 \left(xy''(x)+2y'(x)\right)+y(x)^2\left(y'''(x)y'(x)-y''(x)^2\right)=0$?

For every positive integer $a$, find a composite number $n$ such that $n|a^n -a$.

Expressing exponential form to trigonometric form

What is the sum of a binomial series where the bionomials terms are raised to a power?: $ \sum\limits_{k=0}^\infty \binom{n}{k}^dx^k$

Find all whole numbers $n > 2$ such that $ n^{\frac{n-2}{n}} $ is whole.

Constructing real exponents and related properties using solely $\lim_{n\to\infty }\left( 1+\dfrac{1}{n}\right) ^{n}$

The formula of $(a_1 + a_2 + a_3 + a_4)^2$

What is the identity number for exponentiation/logarithm?

How to prove that $(x^a)^b=x^{ab}$

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