Question

How would one solve the conjecture that for any odd n, there is a twin prime between $n^2$ and $(n+2)^2$?

score 158 · Answer 1 · 2026-03-25 06:12:46

158

Views

How would one solve the conjecture that for any odd n, there is a twin prime between $n^2$ and $(n+2)^2$?

Published on 25 Mar 2026 - 6:12

score 95 · Answer 2 · 2026-03-25 14:04:16

95

Views

How many solutions does $x \equiv x^{-1} \pmod n$ have?

Published on 25 Mar 2026 - 14:04

score 306 · Answer 3 · 2026-03-30 11:17:04

306

Views

What is the probability that a rational prime remains prime in $\mathbb Z[i,\sqrt{-3}]$?

Published on 30 Mar 2026 - 11:17

score 106 · Answer 4 · 2026-04-01 00:11:40

106

Views

For which prime numbers the ring $\Bbb Z_p$ has exactly two elements that satisfy $x=x^5$?

Published on 01 Apr 2026 - 0:11

score 333 · Answer 5 · 2026-03-25 19:25:02

333

Views

A conjecture about irreducible polynomials with integer coefficients

Published on 25 Mar 2026 - 19:25

score 142 · Answer 6 · 2026-03-25 06:13:11

142

Views

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

Published on 25 Mar 2026 - 6:13

score 145 · Answer 7 · 2026-03-25 23:34:43

145

Views

Prime number intercept

Published on 25 Mar 2026 - 23:34

score 185 · Answer 8 · 2026-03-26 06:32:34

185

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 26 Mar 2026 - 6:32

score 178 · Answer 9 · 2019-01-20 19:00:02

178

Views

Maximum of least common multiple of numbers whose sum is fixed

Published on 20 Jan 2019 - 19:00

score 51 · Answer 10 · 2026-03-25 07:43:14

51

Views

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

Published on 25 Mar 2026 - 7:43

score 62 · Answer 11 · 2019-01-21 02:05:16

62

Views

If $m$ is odd and not prime

Published on 21 Jan 2019 - 2:05

score 496 · Answer 12 · 2026-03-26 06:29:57

496

Views

Highest power of a number that divides a larger number?

Published on 26 Mar 2026 - 6:29

score 1.2k · Answer 13 · 2026-03-27 18:26:38

1.2k

Views

Find the smallest prime number $p$ such that $p\, | \,n^2-n-2023$ for some integer $n$.

Published on 27 Mar 2026 - 18:26

score 31 · Answer 14 · 2026-03-25 12:50:45

31

Views

Gaps and density of numbers consisting of sums of products of primes where the number of factors for each prime is itself prime

Published on 25 Mar 2026 - 12:50

score 3k · Answer 15 · 2026-03-26 01:28:43

3k

Views

How can I break RSA if I know the private key?

Published on 26 Mar 2026 - 1:28

List Question

How would one solve the conjecture that for any odd n, there is a twin prime between $n^2$ and $(n+2)^2$?

How many solutions does $x \equiv x^{-1} \pmod n$ have?

What is the probability that a rational prime remains prime in $\mathbb Z[i,\sqrt{-3}]$?

For which prime numbers the ring $\Bbb Z_p$ has exactly two elements that satisfy $x=x^5$?

A conjecture about irreducible polynomials with integer coefficients

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

Prime number intercept

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

Maximum of least common multiple of numbers whose sum is fixed

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

If $m$ is odd and not prime

Highest power of a number that divides a larger number?

Find the smallest prime number $p$ such that $p\, | \,n^2-n-2023$ for some integer $n$.

Gaps and density of numbers consisting of sums of products of primes where the number of factors for each prime is itself prime

How can I break RSA if I know the private key?

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