Question

Conjecture: all complex roots of $\sum_{k=0}^\infty \frac{z^k}{\left(nk\right)!}$ are real

score 177 · Answer 1 · 2026-03-25 09:28:52

177

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Conjecture: all complex roots of $\sum_{k=0}^\infty \frac{z^k}{\left(nk\right)!}$ are real

Published on 25 Mar 2026 - 9:28

score 215 · Answer 2 · 2019-05-18 15:27:19

215

Views

Is there a maximum number of consecutive sexy prime pair sums that are all divisible by $10$?

Published on 18 May 2019 - 15:27

score 218 · Answer 3 · 2019-05-18 22:14:28

218

Views

Infinitude of super happy primes

Published on 18 May 2019 - 22:14

score 144 · Answer 4 · 2019-05-19 22:38:42

144

Views

There cannot be more than three primes of the form $n^{n^2}-k$ for the same $k$?

Published on 19 May 2019 - 22:38

score 64 · Answer 5 · 2019-05-24 04:10:34

64

Views

A really nice and elementary conjecture involving numbers

Published on 24 May 2019 - 4:10

score 567 · Answer 6 · 2019-05-24 16:14:56

567

Views

Trigonometric integral related to Gieseking's constant

Published on 24 May 2019 - 16:14

score 223 · Answer 7 · 2026-03-25 13:57:51

223

Views

Collatz conjecture: $2^{m-1}(6n-3)$ is not part of any cycle

Published on 25 Mar 2026 - 13:57

score 266 · Answer 8 · 2026-03-25 14:39:19

266

Views

Rings for which the Köthe conjecture holds

Published on 25 Mar 2026 - 14:39

score 231 · Answer 9 · 2026-03-25 01:20:30

231

Views

An asymptotic series for $\small\prod_{k=n}^\infty\operatorname{sinc}\left({2^{-k}}\pi\right),\,n\to\infty$

Published on 25 Mar 2026 - 1:20

score 170 · Answer 10 · 2026-03-25 06:10:40

170

Views

Goldbach's conjecture among primes only

Published on 25 Mar 2026 - 6:10

score 294 · Answer 11 · 2026-03-25 09:27:23

294

Views

Does every simply-connected reductive group have trivial Galois cohomology?

Published on 25 Mar 2026 - 9:27

score 697 · Answer 12 · 2026-03-24 23:45:03

697

Views

Prove that $\int_0^\infty\left(\arctan \frac1x\right)^2 \mathrm d x = \pi\ln 2$

Published on 24 Mar 2026 - 23:45

score 505 · Answer 13 · 2019-06-10 12:31:08

505

Views

Is $\lfloor \zeta(-n) \rfloor$ only prime for $n=23$?

Published on 10 Jun 2019 - 12:31

score 259 · Answer 14 · 2026-03-25 12:16:22

259

Views

Refinement of Bertrand's Postulate

Published on 25 Mar 2026 - 12:16

score 176 · Answer 15 · 2026-03-25 13:56:50

176

Views

Found a formula for generating all numbers in all possibilities of all cycle lengths

Published on 25 Mar 2026 - 13:56

List Question

Conjecture: all complex roots of $\sum_{k=0}^\infty \frac{z^k}{\left(nk\right)!}$ are real

Is there a maximum number of consecutive sexy prime pair sums that are all divisible by $10$?

Infinitude of super happy primes

There cannot be more than three primes of the form $n^{n^2}-k$ for the same $k$?

A really nice and elementary conjecture involving numbers

Trigonometric integral related to Gieseking's constant

Collatz conjecture: $2^{m-1}(6n-3)$ is not part of any cycle

Rings for which the Köthe conjecture holds

An asymptotic series for $\small\prod_{k=n}^\infty\operatorname{sinc}\left({2^{-k}}\pi\right),\,n\to\infty$

Goldbach's conjecture among primes only

Does every simply-connected reductive group have trivial Galois cohomology?

Prove that $\int_0^\infty\left(\arctan \frac1x\right)^2 \mathrm d x = \pi\ln 2$

Is $\lfloor \zeta(-n) \rfloor$ only prime for $n=23$?

Refinement of Bertrand's Postulate

Found a formula for generating all numbers in all possibilities of all cycle lengths

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