Question

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

score 76 · Answer 1 · 2026-02-23 02:57:41

76

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

Published on 23 Feb 2026 - 2:57

score 342 · Answer 2 · 2026-02-23 04:59:07

342

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Can a composite number $3\cdot 2^n + 1$ divide a Fermat number $2^{2^m}+1$?

Published on 23 Feb 2026 - 4:59

score 84 · Answer 3 · 2026-02-23 04:55:09

84

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The constuctability of n-gon(regular n-polygon)

Published on 23 Feb 2026 - 4:55

score 176 · Answer 4 · 2026-02-23 04:58:23

176

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$F_n$ is the $n$-th Fermat Number. Prove there are infinitely many values of n for which $F_n + 2$ is composite.

Published on 23 Feb 2026 - 4:58

score 386 · Answer 5 · 2026-02-23 04:53:34

386

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Show that $2^{(p-1)/2} \equiv 1\: \mathrm{mod}\:p$?

Published on 23 Feb 2026 - 4:53

score 118 · Answer 6 · 2026-02-23 04:59:05

118

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Fermat numbers, GCD and proving existence of infinite primes

Published on 23 Feb 2026 - 4:59

score 134 · Answer 7 · 2026-04-01 16:54:00

134

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The greatest prime factor of $2^n+1$

Published on 01 Apr 2026 - 16:54

score 124 · Answer 8 · 2026-02-23 04:55:08

124

Views

Prove that $\gcd(2^{2^{22}}+1,2^{2^{222}}+1)=1$

Published on 23 Feb 2026 - 4:55

score 279 · Answer 9 · 2026-02-23 04:56:27

279

Views

To prove that the nth fermat number for $n \lt 4$ is prime, does the proof involve

Published on 23 Feb 2026 - 4:56

score 1.2k · Answer 10 · 2026-02-23 04:50:19

1.2k

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Fermat Numbers Theorem Proof by Induction

Published on 23 Feb 2026 - 4:50

score 2.9k · Answer 11 · 2026-02-23 04:58:20

2.9k

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Let $p$ be a prime divisor of the Fermat number $F_n = 2^{2^ n} + 1$. Prove that $p$ must have the form $2^{n+1}k + 1$.

Published on 23 Feb 2026 - 4:58

score 54 · Answer 12 · 2026-02-23 04:53:25

54

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Fermats conjecture requires divisibility by n squared

Published on 23 Feb 2026 - 4:53

score 30 · Answer 13 · 2026-02-23 04:55:00

30

Views

Prove a case that is a little bit different from Fermat Numbers

Published on 23 Feb 2026 - 4:55

score 234 · Answer 14 · 2026-02-23 04:56:28

234

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Suppose we have two positive integers $a$ and $b$ which satisfy the condition $a^3 − 2b^3 = 2$.

Published on 23 Feb 2026 - 4:56

score 243 · Answer 15 · 2026-04-01 16:46:12

243

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Is this true about Fermat Primes?

Published on 01 Apr 2026 - 16:46

List Question

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

Can a composite number $3\cdot 2^n + 1$ divide a Fermat number $2^{2^m}+1$?

The constuctability of n-gon(regular n-polygon)

$F_n$ is the $n$-th Fermat Number. Prove there are infinitely many values of n for which $F_n + 2$ is composite.

Show that $2^{(p-1)/2} \equiv 1\: \mathrm{mod}\:p$?

Fermat numbers, GCD and proving existence of infinite primes

The greatest prime factor of $2^n+1$

Prove that $\gcd(2^{2^{22}}+1,2^{2^{222}}+1)=1$

To prove that the nth fermat number for $n \lt 4$ is prime, does the proof involve

Fermat Numbers Theorem Proof by Induction

Let $p$ be a prime divisor of the Fermat number $F_n = 2^{2^ n} + 1$. Prove that $p$ must have the form $2^{n+1}k + 1$.

Fermats conjecture requires divisibility by n squared

Prove a case that is a little bit different from Fermat Numbers

Suppose we have two positive integers $a$ and $b$ which satisfy the condition $a^3 − 2b^3 = 2$.

Is this true about Fermat Primes?

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