Question

Is there any algorithm to identify the smallest example of gap size $n-1$ between consecutive prime numbers

score 255 · Answer 1 · 2026-02-23 09:29:20

255

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Is there any algorithm to identify the smallest example of gap size $n-1$ between consecutive prime numbers

Published on 23 Feb 2026 - 9:29

score 1.4k · Answer 2 · 2018-07-28 12:41:24

1.4k

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Find the largest power of 3 that divides $N =19202122...........919293$.

Published on 28 Jul 2018 - 12:41

score 101 · Answer 3 · 2018-07-28 18:35:35

101

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Odd amicable pairs

Published on 28 Jul 2018 - 18:35

score 149 · Answer 4 · 2026-03-27 00:27:56

149

Views

Quality of prime seeking methods

Published on 27 Mar 2026 - 0:27

score 252 · Answer 5 · 2018-07-29 20:12:11

252

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Fermat Little Theorem

Published on 29 Jul 2018 - 20:12

score 103 · Answer 6 · 2026-03-25 03:04:00

103

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Is there a reason why the first few primes have hexagonal symmetry when snaked around the plane?

Published on 25 Mar 2026 - 3:04

score 108 · Answer 7 · 2026-03-25 03:02:27

108

Views

Reciprocity of different prime numbers can approximate $1$?

Published on 25 Mar 2026 - 3:02

score 104 · Answer 8 · 2026-03-26 09:58:10

104

Views

When does an equation of the form ${1 \over p}{(2^{p-1}-1)} = 2pxy+x+y$ have no integer solutions?

Published on 26 Mar 2026 - 9:58

score 122 · Answer 9 · 2026-03-28 11:34:19

122

Views

An observation of prime number, not sure if this always hold

Published on 28 Mar 2026 - 11:34

score 88 · Answer 10 · 2026-03-27 17:00:41

88

Views

Jacobi symbol of sum of two squares

Published on 27 Mar 2026 - 17:00

score 949 · Answer 11 · 2018-08-02 17:57:20

949

Views

Upper and Lower bounds on the nth prime number

Published on 02 Aug 2018 - 17:57

score 554 · Answer 12 · 2026-03-25 19:11:14

554

Views

A Proof of the Fundamental Theorem of Arithmetic

Published on 25 Mar 2026 - 19:11

score 208 · Answer 13 · 2018-08-03 00:06:45

208

Views

if $b$ divides $ck$ and $b$ and $c$ are relatively prime, then $b$ must divides $k$

Published on 03 Aug 2018 - 0:06

score 186 · Answer 14 · 2026-03-25 17:42:18

186

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$p >2$ is a prime, any facts about congruence relation between the class number of $Q(\sqrt p)$ and $Q(\sqrt{-p})$?

Published on 25 Mar 2026 - 17:42

score 646 · Answer 15 · 2026-03-30 00:04:14

646

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Help proving $\sum_{pq \leq x} \log p\log q \frac{\log x}{\log pq} = \sum_{pq \leq x} \log p\log q + O(x)$

Published on 30 Mar 2026 - 0:04

List Question

Is there any algorithm to identify the smallest example of gap size $n-1$ between consecutive prime numbers

Find the largest power of 3 that divides $N =19202122...........919293$.

Odd amicable pairs

Quality of prime seeking methods

Fermat Little Theorem

Is there a reason why the first few primes have hexagonal symmetry when snaked around the plane?

Reciprocity of different prime numbers can approximate $1$?

When does an equation of the form ${1 \over p}{(2^{p-1}-1)} = 2pxy+x+y$ have no integer solutions?

An observation of prime number, not sure if this always hold

Jacobi symbol of sum of two squares

Upper and Lower bounds on the nth prime number

A Proof of the Fundamental Theorem of Arithmetic

if $b$ divides $ck$ and $b$ and $c$ are relatively prime, then $b$ must divides $k$

$p >2$ is a prime, any facts about congruence relation between the class number of $Q(\sqrt p)$ and $Q(\sqrt{-p})$?

Help proving $\sum_{pq \leq x} \log p\log q \frac{\log x}{\log pq} = \sum_{pq \leq x} \log p\log q + O(x)$

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