Question

Conjecture about fixed prime divisors of polynomials with integer coefficients

score 200 · Answer 1 · 2026-04-09 21:55:53

200

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Conjecture about fixed prime divisors of polynomials with integer coefficients

Published on 09 Apr 2026 - 21:55

score 96 · Answer 2 · 2026-05-11 00:28:24

96

Views

Truncated sum of divisors bound

Published on 11 May 2026 - 0:28

score 226 · Answer 3 · 2026-04-15 16:49:28

226

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Density of the set $\{n^{\frac{1}{q}}:q\in N\}$ in the natural numbers where $n>1$

Published on 15 Apr 2026 - 16:49

score 312 · Answer 4 · 2026-05-16 02:44:03

312

Views

What is the maximum value of $(a+ b+c)$ if $(a^n + b^n + c^n)$ is divisible by $(a+ b+c)$ where the remainder is 0?

Published on 16 May 2026 - 2:44

score 139 · Answer 5 · 2026-05-10 12:53:32

139

Views

Proof that $x^4 - qy^4 = az^2$ has no integral solution

Published on 10 May 2026 - 12:53

score 151 · Answer 6 · 2026-05-16 16:03:25

151

Views

How to find a recurrence relation for counting the number of solutions?

Published on 16 May 2026 - 16:03

score 55 · Answer 7 · 2026-04-15 06:14:46

55

Views

Arranging numbers on a cycle such that each pair differ by one prime factor?

Published on 15 Apr 2026 - 6:14

score 94 · Answer 8 · 2026-05-16 02:36:50

94

Views

Determine when $\frac{n!-1}{3n+1}$ is an integer

Published on 16 May 2026 - 2:36

score 333 · Answer 9 · 2026-04-15 15:04:53

333

Views

Compute $S = \sum_{k=0}^{m} \left\lfloor \frac{k}{2}\right\rfloor$

Published on 15 Apr 2026 - 15:04

score 109 · Answer 10 · 2026-04-10 23:44:30

109

Views

How to compute the following floor sum?

Published on 10 Apr 2026 - 23:44

score 111 · Answer 11 · 2026-04-17 02:57:37

111

Views

Find the pairs $(m,k)$ solving the diophantine equation $m^2=7k+9$

Published on 17 Apr 2026 - 2:57

score 185 · Answer 12 · 2026-05-10 21:28:38

185

Views

Transforming a sum of products in a product of sums

Published on 10 May 2026 - 21:28

score 36 · Answer 13 · 2026-05-10 15:18:41

36

Views

Prime gap around x expressed as $w(x)\log^{w(x)}x$

Published on 10 May 2026 - 15:18

score 112 · Answer 14 · 2026-04-16 13:38:29

112

Views

Write the set $\{1, 6, 11, 16,\ldots\}$ in compact (concise) notation.

Published on 16 Apr 2026 - 13:38

score 98 · Answer 15 · 2026-04-12 18:23:59

98

Views

$n!=n(n-1)(n-2)\cdots 3\times 2\times 1 $ now let

Published on 12 Apr 2026 - 18:23

List Question

Conjecture about fixed prime divisors of polynomials with integer coefficients

Truncated sum of divisors bound

Density of the set $\{n^{\frac{1}{q}}:q\in N\}$ in the natural numbers where $n>1$

What is the maximum value of $(a+ b+c)$ if $(a^n + b^n + c^n)$ is divisible by $(a+ b+c)$ where the remainder is 0?

Proof that $x^4 - qy^4 = az^2$ has no integral solution

How to find a recurrence relation for counting the number of solutions?

Arranging numbers on a cycle such that each pair differ by one prime factor?

Determine when $\frac{n!-1}{3n+1}$ is an integer

Compute $S = \sum_{k=0}^{m} \left\lfloor \frac{k}{2}\right\rfloor$

How to compute the following floor sum?

Find the pairs $(m,k)$ solving the diophantine equation $m^2=7k+9$

Transforming a sum of products in a product of sums

Prime gap around x expressed as $w(x)\log^{w(x)}x$

Write the set $\{1, 6, 11, 16,\ldots\}$ in compact (concise) notation.

$n!=n(n-1)(n-2)\cdots 3\times 2\times 1 $ now let

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