Question

sum of the reciprocal of the prime factors of a square free number

score 255 · Answer 1 · 2020-02-10 18:49:26

255

Views

sum of the reciprocal of the prime factors of a square free number

Published on 10 Feb 2020 - 18:49

score 33 · Answer 2 · 2020-02-19 20:55:15

33

Views

Convergente of sum of divisors sequence

Published on 19 Feb 2020 - 20:55

score 104 · Answer 3 · 2020-02-21 13:55:10

104

Views

Is it possible to derive $m < p^k$ from the Diophantine equation $m^2 - p^k = 4z$ unconditionally, when it is solvable?

Published on 21 Feb 2020 - 13:55

score 72 · Answer 4 · 2020-02-21 15:32:49

72

Views

Conjecture on the solutions to the equation $J(x) = J(x+a)$

Published on 21 Feb 2020 - 15:32

score 124 · Answer 5 · 2020-02-22 17:10:10

124

Views

On the inequality $m < p^k$ where $p^k m^2$ is an odd perfect number

Published on 22 Feb 2020 - 17:10

score 201 · Answer 6 · 2020-03-05 03:06:51

201

Views

Enrique Santos L's "Proof that no odd perfect number exists"

Published on 05 Mar 2020 - 3:06

score 82 · Answer 7 · 2020-03-09 22:58:07

82

Views

Ratio of the average of the divisor function $\sigma_k(n)$ for even / odd n

Published on 09 Mar 2020 - 22:58

score 165 · Answer 8 · 2020-03-12 14:34:12

165

Views

From the equation $\sigma(x^{\varphi(y)})=\frac{1}{\varphi(x)}(x^y-1)$ involving arithmetic functions to a characterization of Sophie Germain primes

Published on 12 Mar 2020 - 14:34

score 104 · Answer 9 · 2020-03-17 20:02:06

104

Views

Conjecture on the sum of divisors function

Published on 17 Mar 2020 - 20:02

score 180 · Answer 10 · 2020-03-18 13:07:08

180

Views

Divisibility of odd numbers and its sum of divisors function

Published on 18 Mar 2020 - 13:07

score 142 · Answer 11 · 2020-03-19 19:24:50

142

Views

From the equation $\sigma(x^{\sigma(y)-1})=\frac{1}{\varphi(x)}(x^{y+1}-1)$ involving arithmetic functions to a characterization of Mersenne exponents

Published on 19 Mar 2020 - 19:24

score 234 · Answer 12 · 2026-02-23 02:59:30

234

Views

On characterizations for near-square primes and Fermat primes in terms of equations involving arithmetic functions

Published on 23 Feb 2026 - 2:59

score 75 · Answer 13 · 2020-03-21 10:20:07

75

Views

Can we decide whether $\sigma(n)-2n=k$ is solvable?

Published on 21 Mar 2020 - 10:20

score 79 · Answer 14 · 2020-03-22 12:19:37

79

Views

Search limit for almost perfect numbers?

Published on 22 Mar 2020 - 12:19

score 95 · Answer 15 · 2020-03-23 08:44:08

95

Views

If $p^k m^2$ is an odd perfect number with special prime $p$, then what is wrong about the following factor chain approach to proving $p \neq 5$?

Published on 23 Mar 2020 - 8:44

List Question

sum of the reciprocal of the prime factors of a square free number

Convergente of sum of divisors sequence

Is it possible to derive $m < p^k$ from the Diophantine equation $m^2 - p^k = 4z$ unconditionally, when it is solvable?

Conjecture on the solutions to the equation $J(x) = J(x+a)$

On the inequality $m < p^k$ where $p^k m^2$ is an odd perfect number

Enrique Santos L's "Proof that no odd perfect number exists"

Ratio of the average of the divisor function $\sigma_k(n)$ for even / odd n

From the equation $\sigma(x^{\varphi(y)})=\frac{1}{\varphi(x)}(x^y-1)$ involving arithmetic functions to a characterization of Sophie Germain primes

Conjecture on the sum of divisors function

Divisibility of odd numbers and its sum of divisors function

From the equation $\sigma(x^{\sigma(y)-1})=\frac{1}{\varphi(x)}(x^{y+1}-1)$ involving arithmetic functions to a characterization of Mersenne exponents

On characterizations for near-square primes and Fermat primes in terms of equations involving arithmetic functions

Can we decide whether $\sigma(n)-2n=k$ is solvable?

Search limit for almost perfect numbers?

If $p^k m^2$ is an odd perfect number with special prime $p$, then what is wrong about the following factor chain approach to proving $p \neq 5$?

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