Question

Integrally Closed in Terms of Galois Theory

score 40 · Answer 1 · 2026-04-09 11:53:47

40

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Integrally Closed in Terms of Galois Theory

Published on 09 Apr 2026 - 11:53

score 145 · Answer 2 · 2026-05-10 15:09:55

145

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What is the largest known twin-prime of the form $2^a\cdot 3^b\pm 1$?

Published on 10 May 2026 - 15:09

score 119 · Answer 3 · 2026-04-09 05:51:24

119

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Let $n\in \mathbb{N}, n > 1$ Show that some numbers are coprimes.

Published on 09 Apr 2026 - 5:51

score 187 · Answer 4 · 2026-04-16 15:53:33

187

Views

Find all $n$ such that $n/d(n) = p$, a prime, where $d(n)$ is the number of positive divisors of $n$

Published on 16 Apr 2026 - 15:53

score 475 · Answer 5 · 2026-04-17 10:23:03

475

Views

Proving that there are infinitely-many prime numbers that are not Fibonacci numbers

Published on 17 Apr 2026 - 10:23

score 134 · Answer 6 · 2026-05-16 07:19:33

134

Views

How many positive integer solution pairs $(x, y)$ are there for the equation $y^2 = \frac{(x^5 - 1)}{(x-1)} $, $x\neq 1$?

Published on 16 May 2026 - 7:19

score 145 · Answer 7 · 2026-05-10 20:40:29

145

Views

The Riemann Hypothesis follows from the Polya-Vinogradov inequality?

Published on 10 May 2026 - 20:40

score 149 · Answer 8 · 2026-05-16 00:05:22

149

Views

Is there a counter-example to these number theoretic conjectures?

Published on 16 May 2026 - 0:05

score 63 · Answer 9 · 2026-04-15 06:04:08

63

Views

on the quadratic form $5x^2-y^2$

Published on 15 Apr 2026 - 6:04

score 292 · Answer 10 · 2026-05-10 20:37:43

292

Views

Is there a maximum number of consecutive decreasing steps a Collatz cycle can have?

Published on 10 May 2026 - 20:37

score 53 · Answer 11 · 2026-05-16 08:15:55

53

Views

Has such a variant of the Möbius function been used in sieve methods?

Published on 16 May 2026 - 8:15

score 64 · Answer 12 · 2026-04-17 14:55:51

64

Views

$ t(n) = t( x_1 x_2 x_3 ...) = t(x_1) + t(x_2) + t(x_3) + ... + t( x_1 + x_2 + x_3 + ... ) $

Published on 17 Apr 2026 - 14:55

score 166 · Answer 13 · 2026-04-16 13:46:20

166

Views

Estimate the value of $\log_{20}3$

Published on 16 Apr 2026 - 13:46

score 531 · Answer 14 · 2026-04-14 20:04:48

531

Views

Second difference on the sum of extreme values of square numbers

Published on 14 Apr 2026 - 20:04

score 37 · Answer 15 · 2026-04-17 13:45:38

37

Views

$ec(43s)$ probable primes

Published on 17 Apr 2026 - 13:45

List Question

Integrally Closed in Terms of Galois Theory

What is the largest known twin-prime of the form $2^a\cdot 3^b\pm 1$?

Let $n\in \mathbb{N}, n > 1$ Show that some numbers are coprimes.

Find all $n$ such that $n/d(n) = p$, a prime, where $d(n)$ is the number of positive divisors of $n$

Proving that there are infinitely-many prime numbers that are not Fibonacci numbers

How many positive integer solution pairs $(x, y)$ are there for the equation $y^2 = \frac{(x^5 - 1)}{(x-1)} $, $x\neq 1$?

The Riemann Hypothesis follows from the Polya-Vinogradov inequality?

Is there a counter-example to these number theoretic conjectures?

on the quadratic form $5x^2-y^2$

Is there a maximum number of consecutive decreasing steps a Collatz cycle can have?

Has such a variant of the Möbius function been used in sieve methods?

$ t(n) = t( x_1 x_2 x_3 ...) = t(x_1) + t(x_2) + t(x_3) + ... + t( x_1 + x_2 + x_3 + ... ) $

Estimate the value of $\log_{20}3$

Second difference on the sum of extreme values of square numbers

$ec(43s)$ probable primes

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