Question

Normalizer and centralizer are equivalent when $p$ is the smallest prime dividing $|G|$

score 1.5k · Answer 1 · 2026-03-27 04:56:54

1.5k

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Normalizer and centralizer are equivalent when $p$ is the smallest prime dividing $|G|$

Published on 27 Mar 2026 - 4:56

score 144 · Answer 2 · 2014-10-22 12:03:52

144

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Is this number composite or prime: $2000^{2002} + 2000^{2000} + 1$?

Published on 22 Oct 2014 - 12:03

score 326 · Answer 3 · 2026-04-11 06:54:27

326

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Uses of Mersenne primes in math

Published on 11 Apr 2026 - 6:54

score 64 · Answer 4 · 2026-04-10 01:47:22

64

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Fundamental Theorem of Arithmetic (Canonical) missing crucial step

Published on 10 Apr 2026 - 1:47

score 1.2k · Answer 5 · 2026-03-27 04:34:21

1.2k

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Finding all the values of n, such that $ \varphi (n) = 12 $

Published on 27 Mar 2026 - 4:34

score 228 · Answer 6 · 2014-10-23 10:20:18

Given $0 < p < n$, prove there exists $n$ consecutive natural numbers such that each natural is divisible by at least $p$ distinct primes.

score 37 · Answer 7 · 2014-10-23 14:51:34

37

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Disproving using a Constructive Proof

Published on 23 Oct 2014 - 14:51

score 5.9k · Answer 8 · 2026-03-25 11:06:40

5.9k

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If $P$ and $Q$ are distinct primes, how to prove that $\sqrt{PQ}$ is irrational?

Published on 25 Mar 2026 - 11:06

score 1k · Answer 9 · 2026-03-28 07:51:38

1k

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an irreducible polynomial over GF(2) is primitive over GF(2)

Published on 28 Mar 2026 - 7:51

score 184 · Answer 10 · 2026-03-27 02:50:46

184

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Prime number in set $\{1,...,60\}$

Published on 27 Mar 2026 - 2:50

score 4.7k · Answer 11 · 2026-03-29 22:33:10

4.7k

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Prove that if p divides xy then p divides x or p divides y

Published on 29 Mar 2026 - 22:33

score 1.1k · Answer 12 · 2026-03-25 16:03:43

1.1k

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Consequences of the negation of the Riemann hypothesis

Published on 25 Mar 2026 - 16:03

score 609 · Answer 13 · 2014-10-25 20:16:01

609

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Generalisations of primes

Published on 25 Oct 2014 - 20:16

score 47 · Answer 14 · 2026-03-25 17:20:02

47

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Does there exist a positive integer $k$ such that $(g_i^k)_{i=1}^{\infty},\ g_i^k=p_{i+k}-p_i$ is non-decreasing for all sufficiently large $i$?

Published on 25 Mar 2026 - 17:20

score 74 · Answer 15 · 2026-03-25 15:42:35

74

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Does there exist a sequence $(S_i)_{i=1}^{\infty},\ S_i=\pm1$ such that $\forall i(2+S_1g_1+S_2g_2+\cdots+S_ig_i\in\Bbb P)\wedge\exists i:S_i=-1$?

Published on 25 Mar 2026 - 15:42

List Question

Normalizer and centralizer are equivalent when $p$ is the smallest prime dividing $|G|$

Is this number composite or prime: $2000^{2002} + 2000^{2000} + 1$?

Uses of Mersenne primes in math

Fundamental Theorem of Arithmetic (Canonical) missing crucial step

Finding all the values of n, such that $ \varphi (n) = 12 $

Given $0 < p < n$, prove there exists $n$ consecutive natural numbers such that each natural is divisible by at least $p$ distinct primes.

Disproving using a Constructive Proof

If $P$ and $Q$ are distinct primes, how to prove that $\sqrt{PQ}$ is irrational?

an irreducible polynomial over GF(2) is primitive over GF(2)

Prime number in set $\{1,...,60\}$

Prove that if p divides xy then p divides x or p divides y

Consequences of the negation of the Riemann hypothesis

Generalisations of primes

Does there exist a positive integer $k$ such that $(g_i^k)_{i=1}^{\infty},\ g_i^k=p_{i+k}-p_i$ is non-decreasing for all sufficiently large $i$?

Does there exist a sequence $(S_i)_{i=1}^{\infty},\ S_i=\pm1$ such that $\forall i(2+S_1g_1+S_2g_2+\cdots+S_ig_i\in\Bbb P)\wedge\exists i:S_i=-1$?

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