List questions from elementary-number-theory

Published on 09 Apr 2026 - 3:36

65

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Show $8K^2-1$ has atleast one prime factor congruent to $-1mod8$

Published on 12 Apr 2026 - 21:46

243

Views

Andrica's conjecture implies Legendre's conjecture

Published on 15 Apr 2026 - 13:20

589

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Consecutive Fibonacci Numbers

Published on 09 Apr 2026 - 19:49

96

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Proving the congruence $((p-1)\ /\ 2)!^2 \equiv (p-1)\ (\textrm{mod}\ p)$

Published on 16 Apr 2026 - 2:55

137

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Variable transformation $x\to x+1$ in Fibonacci-polynomial $F_n(x)$

Published on 16 Apr 2026 - 21:26

116

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A race between ec-primes and mersenne-primes. Who will win in the long run?

Published on 09 Apr 2026 - 3:39

218

Views

Complete sequence of sequences

Published on 26 Mar 2026 - 0:58

991

Views

If $p$ is prime and $p$ $\equiv$ $1$ (mod 4), then the congruence $x^2$ $\equiv$ $-1$ (mod $p$) has two incongruent solutions...

Published on 16 Apr 2026 - 2:32

68

Views

Need counterexample for some facts related with Quadratic residues

Published on 16 Apr 2026 - 20:40

63

Views

What does $2|x_1=u$ mean here?

Published on 14 Apr 2026 - 10:05

77

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What's the flaw in "collapsed rounding"?

Published on 14 Apr 2026 - 19:27

246

Views

Prove $n\geq 3$ is prime or the largest non-trivial factor of $n$ is at least $3\sqrt{n}$

Published on 16 Apr 2026 - 10:47

66

Views

Inverse of a Multiplicative Arithmetic Function w/0 Mobius function

Published on 09 Apr 2026 - 3:36

514

Views

Writing integers as a product of as few elements of $\{\frac21, \frac32, \frac43, \frac54, \ldots\}$ as possible

Published on 12 Apr 2026 - 12:03

List Question

Is there a direct mathematical function/ formula for calculate this problem?

Show $8K^2-1$ has atleast one prime factor congruent to $-1mod8$

Andrica's conjecture implies Legendre's conjecture

Consecutive Fibonacci Numbers

Proving the congruence $((p-1)\ /\ 2)!^2 \equiv (p-1)\ (\textrm{mod}\ p)$

Variable transformation $x\to x+1$ in Fibonacci-polynomial $F_n(x)$

A race between ec-primes and mersenne-primes. Who will win in the long run?

Complete sequence of sequences

If $p$ is prime and $p$ $\equiv$ $1$ (mod 4), then the congruence $x^2$ $\equiv$ $-1$ (mod $p$) has two incongruent solutions...

Need counterexample for some facts related with Quadratic residues

What does $2|x_1=u$ mean here?

What's the flaw in "collapsed rounding"?

Prove $n\geq 3$ is prime or the largest non-trivial factor of $n$ is at least $3\sqrt{n}$

Inverse of a Multiplicative Arithmetic Function w/0 Mobius function

Writing integers as a product of as few elements of $\{\frac21, \frac32, \frac43, \frac54, \ldots\}$ as possible

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