Question

Not using Jacobi symbol how to prove For all positive integer $n>1$ $2^n - 1 \not | 3^n-1$?

score 84 · Answer 1 · 2015-01-02 14:05:09

84

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Not using Jacobi symbol how to prove For all positive integer $n>1$ $2^n - 1 \not | 3^n-1$?

Published on 02 Jan 2015 - 14:05

score 68 · Answer 2 · 2026-03-25 14:27:15

68

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On $p^{\log_q n}$, where $p$ and $q$ are distinct primes

Published on 25 Mar 2026 - 14:27

score 52 · Answer 3 · 2026-04-13 03:23:29

52

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Proving Fermat’s Little Theorem Using Product of Consecutive Integers.

Published on 13 Apr 2026 - 3:23

score 997 · Answer 4 · 2026-04-09 13:26:50

997

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How to calculate how many primes there are of $N$ bits

Published on 09 Apr 2026 - 13:26

score 123 · Answer 5 · 2026-03-26 01:27:32

123

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Arithmetic functions used in number theory

Published on 26 Mar 2026 - 1:27

score 48 · Answer 6 · 2026-04-10 21:18:31

48

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what is meant by field generated by primes over rationals?

Published on 10 Apr 2026 - 21:18

score 58 · Answer 7 · 2019-10-03 09:53:39

58

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Primes satisfying certain conditions

Published on 03 Oct 2019 - 9:53

score 218 · Answer 8 · 2026-04-09 07:30:40

218

Views

How to use Lehmer's formula?

Published on 09 Apr 2026 - 7:30

score 44 · Answer 9 · 2026-04-03 23:30:59

44

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Generating the Sieve of Sundaram excluded index values

Published on 03 Apr 2026 - 23:30

score 259 · Answer 10 · 2019-10-04 11:45:47

259

Views

Prove that there are infinitely many primes $P$, such that $3P+2$ and $\frac{3P+1}{2}$ are also primes

Published on 04 Oct 2019 - 11:45

score 94 · Answer 11 · 2026-03-26 11:11:32

94

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How to define a large prime number (for example, $7919$)?

Published on 26 Mar 2026 - 11:11

score 40 · Answer 12 · 2019-10-05 00:08:06

40

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Is the following proof of $(p \mid a) \land(p \not \mid b) \implies p \not \mid (a + b)$ correct?

Published on 05 Oct 2019 - 0:08

score 52 · Answer 13 · 2026-04-12 22:55:17

52

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Cycle lengths with prime denominators

Published on 12 Apr 2026 - 22:55

score 39 · Answer 14 · 2019-10-05 10:37:39

39

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Show that $(p_{k}^2+6p_{k}+8)x_{k}-(8p_{k}+24)>0$

Published on 05 Oct 2019 - 10:37

score 48 · Answer 15 · 2019-10-05 16:48:59

48

Views

Show that $p_{k}≥2k-1$ for all $k≥2$

Published on 05 Oct 2019 - 16:48

List Question

Not using Jacobi symbol how to prove For all positive integer $n>1$ $2^n - 1 \not | 3^n-1$?

On $p^{\log_q n}$, where $p$ and $q$ are distinct primes

Proving Fermat’s Little Theorem Using Product of Consecutive Integers.

How to calculate how many primes there are of $N$ bits

Arithmetic functions used in number theory

what is meant by field generated by primes over rationals?

Primes satisfying certain conditions

How to use Lehmer's formula?

Generating the Sieve of Sundaram excluded index values

Prove that there are infinitely many primes $P$, such that $3P+2$ and $\frac{3P+1}{2}$ are also primes

How to define a large prime number (for example, $7919$)?

Is the following proof of $(p \mid a) \land(p \not \mid b) \implies p \not \mid (a + b)$ correct?

Cycle lengths with prime denominators

Show that $(p_{k}^2+6p_{k}+8)x_{k}-(8p_{k}+24)>0$

Show that $p_{k}≥2k-1$ for all $k≥2$

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