List questions from elementary-number-theory

55

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Find the global min of $\lfloor{(1/2)(\lfloor{N/p}\rfloor+3-\sqrt{(\lfloor{N/p}\rfloor+1)^2-4N})}\rfloor$

Published on 16 Apr 2026 - 12:12

320

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Number theory : values of $l$, $k$; $k$ and $l$ are relatively prime to $n$ with $kl \equiv 1 \pmod n$.

Published on 14 Apr 2026 - 23:05

74

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Question about proof of Bézout's lemma

Published on 11 Apr 2026 - 0:02

114

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Show that the term $xy+1$ is a perfect square.

Published on 15 Apr 2026 - 14:47

109

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Whole Number to Exponents

Published on 15 Apr 2026 - 8:09

50

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How can we show these two relations?

Published on 14 Apr 2026 - 5:50

188

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How can we solve the diophantine equation?

Published on 11 Apr 2026 - 9:01

61

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The remainder when $a+qn$ is divided by $n$ is equal to the remainder of $a$ divided by $n$ where $a,q,n$ are integers

Published on 15 Apr 2026 - 20:19

1k

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If $ n > 0$ and $n^2+1$ is prime, then $n=1$ or $n$ is even

Published on 15 Apr 2026 - 19:48

51

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Concluding about $f$ as a function $\mathbb{N}\to \mathbb{N}$ and finding complexity of a program

Published on 11 Apr 2026 - 1:47

37

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How many members $a$ in $\Bbb{Z}^*$ have a number $b$, $b^3 = a \pmod n$?

Published on 16 Apr 2026 - 12:46

1.8k

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Sum of elements in reduced residue system modulo n is divisible by n

Published on 10 May 2026 - 15:00

102

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Is this a valid definition of the rationals?

Published on 12 Apr 2026 - 0:58

55

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Is there a bound for $|a+b|$ of the form $f(a,b) \leq |a+b|$

Published on 15 Apr 2026 - 14:09

59

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Repunits whose digits in base $b$ are all $b-1$

Published on 11 May 2026 - 1:03

List Question

Find the global min of $\lfloor{(1/2)(\lfloor{N/p}\rfloor+3-\sqrt{(\lfloor{N/p}\rfloor+1)^2-4N})}\rfloor$

Number theory : values of $l$, $k$; $k$ and $l$ are relatively prime to $n$ with $kl \equiv 1 \pmod n$.

Question about proof of Bézout's lemma

Show that the term $xy+1$ is a perfect square.

Whole Number to Exponents

How can we show these two relations?

How can we solve the diophantine equation?

The remainder when $a+qn$ is divided by $n$ is equal to the remainder of $a$ divided by $n$ where $a,q,n$ are integers

If $ n > 0$ and $n^2+1$ is prime, then $n=1$ or $n$ is even

Concluding about $f$ as a function $\mathbb{N}\to \mathbb{N}$ and finding complexity of a program

How many members $a$ in $\Bbb{Z}^*$ have a number $b$, $b^3 = a \pmod n$?

Sum of elements in reduced residue system modulo n is divisible by n

Is this a valid definition of the rationals?

Is there a bound for $|a+b|$ of the form $f(a,b) \leq |a+b|$

Repunits whose digits in base $b$ are all $b-1$

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