Question

Least Common Multiple and the product of a sequence of consecutive integers

score 555 · Answer 1 · 2026-02-23 03:29:45

555

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Least Common Multiple and the product of a sequence of consecutive integers

Published on 23 Feb 2026 - 3:29

score 134 · Answer 2 · 2018-09-06 15:58:49

134

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A prime’s square dividing a sum of a geometric sequence

Published on 06 Sep 2018 - 15:58

score 82 · Answer 3 · 2026-03-29 05:43:28

82

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Why is it that $\sum_{k=1}^{p-1}{(k^2\mod{p})} = \frac{p(p-1)}{2} \forall p \in \mathbb{P} \land p \equiv 1 \mod{4}$?

Published on 29 Mar 2026 - 5:43

score 119 · Answer 4 · 2018-09-07 11:45:30

119

Views

Do infinitely many prime numbers occur in $P(x) \in \mathbb{N}[x]$ when the coefficients are relative prime?

Published on 07 Sep 2018 - 11:45

score 221 · Answer 5 · 2018-09-07 16:03:54

221

Views

Is it possible to find such integers $y,b$ that $\left|-\frac{x_{0}}{n}-\frac{y}{b}\right|<\frac{1}{b\sqrt{n}}$

Published on 07 Sep 2018 - 16:03

score 325 · Answer 6 · 2026-03-26 06:32:35

325

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$n^2 - n + 11$ is the product of four prime numbers, some of which may be the same. What is the minimum value of $n$?

Published on 26 Mar 2026 - 6:32

score 93 · Answer 7 · 2018-09-08 04:24:23

93

Views

Does the Prime Number Theorem imply for large enough $x$ that $(a+1)\pi(ax) \ge a\pi((a+1)x)$

Published on 08 Sep 2018 - 4:24

score 284 · Answer 8 · 2026-03-26 21:27:26

284

Views

Given the equation $A(qr-p)=B(pr+q)$, when can $A=pr+q$ and $B=qr-p$ be true?

Published on 26 Mar 2026 - 21:27

score 74 · Answer 9 · 2026-03-26 16:06:30

74

Views

Positive integers satisfying: for all odd prime powers $p^k < n$, $n - p^k$ is prime

Published on 26 Mar 2026 - 16:06

score 66 · Answer 10 · 2026-03-30 01:51:43

66

Views

The distribution of primes between multipliers is arbitrary

Published on 30 Mar 2026 - 1:51

score 89 · Answer 11 · 2018-09-08 20:01:25

89

Views

Show, by computing several values, that there are composite numbers in this sequence.

Published on 08 Sep 2018 - 20:01

score 443 · Answer 12 · 2018-09-08 20:24:40

443

Views

Find the next such set of prime numbers ending in 1, 3, 7, 9.

Published on 08 Sep 2018 - 20:24

score 87 · Answer 13 · 2026-03-25 06:06:37

87

Views

On a theorem of Zumkeller related to twin primes

Published on 25 Mar 2026 - 6:06

score 200 · Answer 14 · 2026-03-25 15:39:23

200

Views

Find values for which the given expression is a perfect square

Published on 25 Mar 2026 - 15:39

score 132 · Answer 15 · 2018-09-09 13:07:21

132

Views

Sequence given by $a_0=2$, $a_{n+1} = a_n \cdot(a_n+1)$ not prime for all $n$

Published on 09 Sep 2018 - 13:07

List Question

Least Common Multiple and the product of a sequence of consecutive integers

A prime’s square dividing a sum of a geometric sequence

Why is it that $\sum_{k=1}^{p-1}{(k^2\mod{p})} = \frac{p(p-1)}{2} \forall p \in \mathbb{P} \land p \equiv 1 \mod{4}$?

Do infinitely many prime numbers occur in $P(x) \in \mathbb{N}[x]$ when the coefficients are relative prime?

Is it possible to find such integers $y,b$ that $\left|-\frac{x_{0}}{n}-\frac{y}{b}\right|<\frac{1}{b\sqrt{n}}$

$n^2 - n + 11$ is the product of four prime numbers, some of which may be the same. What is the minimum value of $n$?

Does the Prime Number Theorem imply for large enough $x$ that $(a+1)\pi(ax) \ge a\pi((a+1)x)$

Given the equation $A(qr-p)=B(pr+q)$, when can $A=pr+q$ and $B=qr-p$ be true?

Positive integers satisfying: for all odd prime powers $p^k < n$, $n - p^k$ is prime

The distribution of primes between multipliers is arbitrary

Show, by computing several values, that there are composite numbers in this sequence.

Find the next such set of prime numbers ending in 1, 3, 7, 9.

On a theorem of Zumkeller related to twin primes

Find values for which the given expression is a perfect square

Sequence given by $a_0=2$, $a_{n+1} = a_n \cdot(a_n+1)$ not prime for all $n$

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