List questions from ceiling-and-floor-functions

Published on 28 Mar 2026 - 10:04

321

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Find the greatest n for which the sum $\sum_{k=1}^n \lfloor\sqrt{k}\rfloor$ is a prime number.

Published on 27 Nov 2017 - 9:24

120

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Need help to find inverse function $f(x)=x+\lfloor \frac x2\rfloor+\lfloor \frac x3\rfloor$

Published on 02 Apr 2026 - 11:41

412

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Equations with the floor function

Published on 28 Nov 2017 - 5:46

54

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Can you simplify a mod operator in the denominator of a floored fraction?

Published on 28 Nov 2017 - 20:11

888

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What's a recursive algorithm for finding the floor of a non-negative real number?

Published on 04 Dec 2017 - 20:28

359

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Floor function lemma

Published on 05 Dec 2017 - 7:10

544

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Simple proof that $\lfloor \log_2 k \rfloor + 1 = \lceil \log_2 (k + 1) \rceil$

Published on 11 Dec 2017 - 3:27

71

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Prove or disprove: $\phi: \mathbb{N} \to \mathbb{N}\text{, }\phi(n) = \lfloor n \cdot | \sin( \sqrt{2} \cdot n ) | \rfloor$ is surjective

Published on 12 Dec 2017 - 19:59

777

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Integration of $\min \{x-[x] , -x-[-x]\} $where $[x]$ is floor function

Published on 13 Dec 2017 - 12:13

112

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Is this parametric equation for a smooth floor function solvable for t?

Published on 13 Dec 2017 - 15:29

200

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Bounds of $f(x)= \frac{x-\lfloor x\rfloor}{\sqrt x}$

Published on 13 Dec 2017 - 23:42

290

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find the limits of floor function:

Published on 15 Dec 2017 - 11:23

139

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I have discovered an algebraic way to represent Piecewise functions

Published on 26 Mar 2026 - 6:27

85

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A complicated limit involving floor function

Published on 21 Dec 2017 - 12:17

List Question

Floor function as an inverse Mellin transform of Riemann zeta function

Find the greatest n for which the sum $\sum_{k=1}^n \lfloor\sqrt{k}\rfloor$ is a prime number.

Need help to find inverse function $f(x)=x+\lfloor \frac x2\rfloor+\lfloor \frac x3\rfloor$

Equations with the floor function

Can you simplify a mod operator in the denominator of a floored fraction?

What's a recursive algorithm for finding the floor of a non-negative real number?

Floor function lemma

Simple proof that $\lfloor \log_2 k \rfloor + 1 = \lceil \log_2 (k + 1) \rceil$

Prove or disprove: $\phi: \mathbb{N} \to \mathbb{N}\text{, }\phi(n) = \lfloor n \cdot | \sin( \sqrt{2} \cdot n ) | \rfloor$ is surjective

Integration of $\min \{x-[x] , -x-[-x]\} $where $[x]$ is floor function

Is this parametric equation for a smooth floor function solvable for t?

Bounds of $f(x)= \frac{x-\lfloor x\rfloor}{\sqrt x}$

find the limits of floor function:

I have discovered an algebraic way to represent Piecewise functions

A complicated limit involving floor function

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