Question

What do mathematicians mean when they say some conjecture can’t be proven using the current technology?

score 3.9k · Answer 1 · 2026-03-25 12:48:56

3.9k

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What do mathematicians mean when they say some conjecture can’t be proven using the current technology?

Published on 25 Mar 2026 - 12:48

score 183 · Answer 2 · 2019-07-15 14:31:39

183

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Does there exist some prime $k$ for which there will be exactly two primes of the form $n!+k$?

Published on 15 Jul 2019 - 14:31

score 203 · Answer 3 · 2019-07-16 05:25:15

203

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On Composite Numbers of the Form $p_{1}p_{2} \ldots p_{k} - 1$

Published on 16 Jul 2019 - 5:25

score 423 · Answer 4 · 2026-03-25 17:37:46

423

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What methods show that a number is transcendental?

Published on 25 Mar 2026 - 17:37

score 167 · Answer 5 · 2019-07-19 13:51:54

167

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Number theoretical function with logarithmic properties

Published on 19 Jul 2019 - 13:51

score 409 · Answer 6 · 2019-07-19 17:58:17

409

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Recurrence relation for the Thue–Morse sequence

Published on 19 Jul 2019 - 17:58

score 90 · Answer 7 · 2019-07-24 10:01:48

90

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Prime number function inequality conjecture

Published on 24 Jul 2019 - 10:01

score 807 · Answer 8 · 2019-07-24 21:35:50

807

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Any positive integer can be written as sum / difference of consecutive squares

Published on 24 Jul 2019 - 21:35

score 202 · Answer 9 · 2019-07-26 11:51:35

202

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Conjecture: ${_2 F_1} \left(\frac{1}{2}- \frac{x}{2},1- \frac{x}{2};2;1 \right)=\prod_{n=2}^\infty \frac{(2n-2+x)(2n-1+x)}{2n (2n-3+2x)}$

Published on 26 Jul 2019 - 11:51

score 141 · Answer 10 · 2019-07-27 21:52:13

141

Views

An iteration formula I found (please don't jump at me if it's already been discovered)

Published on 27 Jul 2019 - 21:52

score 140 · Answer 11 · 2019-07-30 10:07:40

140

Views

Problem understanding Legendre's conjecture

Published on 30 Jul 2019 - 10:07

score 46 · Answer 12 · 2026-03-25 17:21:48

46

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If $q^k n^2$ is an odd perfect number with special prime $q$, then does $(q+1)/2 \mid \sigma(n^2)$ hold?

Published on 25 Mar 2026 - 17:21

score 282 · Answer 13 · 2019-08-10 18:46:49

282

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Conjecture $\sum_{n=0}^\infty a_n= \frac{1}{2}-\frac{7 \zeta(3)}{2 \pi^2}$

Published on 10 Aug 2019 - 18:46

score 177 · Answer 14 · 2019-08-18 17:36:24

177

Views

$π(x+y) - π(x) ≤ c·y/\ln(y)$ for some constant $c$?

Published on 18 Aug 2019 - 17:36

score 122 · Answer 15 · 2019-08-23 05:45:38

122

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Conjecture on Prime Numbers and Exponential Equipment

Published on 23 Aug 2019 - 5:45

List Question

What do mathematicians mean when they say some conjecture can’t be proven using the current technology?

Does there exist some prime $k$ for which there will be exactly two primes of the form $n!+k$?

On Composite Numbers of the Form $p_{1}p_{2} \ldots p_{k} - 1$

What methods show that a number is transcendental?

Number theoretical function with logarithmic properties

Recurrence relation for the Thue–Morse sequence

Prime number function inequality conjecture

Any positive integer can be written as sum / difference of consecutive squares

Conjecture: ${_2 F_1} \left(\frac{1}{2}- \frac{x}{2},1- \frac{x}{2};2;1 \right)=\prod_{n=2}^\infty \frac{(2n-2+x)(2n-1+x)}{2n (2n-3+2x)}$

An iteration formula I found (please don't jump at me if it's already been discovered)

Problem understanding Legendre's conjecture

If $q^k n^2$ is an odd perfect number with special prime $q$, then does $(q+1)/2 \mid \sigma(n^2)$ hold?

Conjecture $\sum_{n=0}^\infty a_n= \frac{1}{2}-\frac{7 \zeta(3)}{2 \pi^2}$

$π(x+y) - π(x) ≤ c·y/\ln(y)$ for some constant $c$?

Conjecture on Prime Numbers and Exponential Equipment

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