Question

Getting factors of Mersenne numbers. Why does $2^p-1|2^b-1$ where $p|b$ and $p$ is prime and $b\in Z$?

score 34 · Answer 1 · 2019-11-14 21:38:00

34

Views

Getting factors of Mersenne numbers. Why does $2^p-1|2^b-1$ where $p|b$ and $p$ is prime and $b\in Z$?

Published on 14 Nov 2019 - 21:38

score 105 · Answer 2 · 2019-11-26 15:23:04

105

Views

Can it be shown that numbers of a certain form produce primes more often than expected?

Published on 26 Nov 2019 - 15:23

score 220 · Answer 3 · 2019-12-03 16:55:14

220

Views

Question about the exponents n in Mersenne Primes.

Published on 03 Dec 2019 - 16:55

score 428 · Answer 4 · 2019-12-26 02:51:35

428

Views

About how much time would it take to test the primality of a billion digit Mersenne number with a typical processor?

Published on 26 Dec 2019 - 2:51

score 211 · Answer 5 · 2020-01-06 11:52:04

211

Views

Property of some composite Mersenne numbers

Published on 06 Jan 2020 - 11:52

score 86 · Answer 6 · 2020-01-10 11:40:22

86

Views

There exists infinitely many primes formed of 2^(F[n!+1])-1

Published on 10 Jan 2020 - 11:40

score 79 · Answer 7 · 2020-01-23 16:23:53

79

Views

About the probability that the number of Fermat primes is infinite.

Published on 23 Jan 2020 - 16:23

score 64 · Answer 8 · 2020-04-13 11:18:45

64

Views

Let $x=2^{p-1}-1$ be composite, $p$ prime and $3\mid x$. Why $p \mid x$?

Published on 13 Apr 2020 - 11:18

score 149 · Answer 9 · 2020-04-16 20:56:10

149

Views

Prove that number of times $3$ divides $2^n\pm1$ is exactly one more than the number of times $3$ divides $n$

Published on 16 Apr 2020 - 20:56

score 75 · Answer 10 · 2020-04-21 11:52:10

75

Views

Odd perfect numbers having as prime factors exclusively Mersenne primes and Fermat primes: reference request or proposal as an exercise

Published on 21 Apr 2020 - 11:52

score 157 · Answer 11 · 2020-05-28 19:41:43

157

Views

Show that $M_p^p\equiv 1 \mod p^2$

Published on 28 May 2020 - 19:41

score 270 · Answer 12 · 2020-06-21 08:22:50

270

Views

On the equation $\psi(-1+2(\psi(n)-n))=n$ involving the Dedekind psi function, as a characterization of Mersenne primes

Published on 21 Jun 2020 - 8:22

score 1.5k · Answer 13 · 2016-07-20 10:19:32

1.5k

Views

Prove that $2^{13}-1$ is prime

Published on 20 Jul 2016 - 10:19

score 168 · Answer 14 · 2023-02-11 23:59:56

168

Views

Density of extended Mersenne numbers?

Published on 11 Feb 2023 - 23:59

score 263 · Answer 15 · 2023-04-30 20:04:41

263

Views

Lucas-Lehmer test for Mersenne and Wagstaff numbers?

Published on 30 Apr 2023 - 20:04

List Question

Getting factors of Mersenne numbers. Why does $2^p-1|2^b-1$ where $p|b$ and $p$ is prime and $b\in Z$?

Can it be shown that numbers of a certain form produce primes more often than expected?

Question about the exponents n in Mersenne Primes.

About how much time would it take to test the primality of a billion digit Mersenne number with a typical processor?

Property of some composite Mersenne numbers

There exists infinitely many primes formed of 2^(F[n!+1])-1

About the probability that the number of Fermat primes is infinite.

Let $x=2^{p-1}-1$ be composite, $p$ prime and $3\mid x$. Why $p \mid x$?

Prove that number of times $3$ divides $2^n\pm1$ is exactly one more than the number of times $3$ divides $n$

Odd perfect numbers having as prime factors exclusively Mersenne primes and Fermat primes: reference request or proposal as an exercise

Show that $M_p^p\equiv 1 \mod p^2$

On the equation $\psi(-1+2(\psi(n)-n))=n$ involving the Dedekind psi function, as a characterization of Mersenne primes

Prove that $2^{13}-1$ is prime

Density of extended Mersenne numbers?

Lucas-Lehmer test for Mersenne and Wagstaff numbers?

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