Nilotpal Kanti Sinha

New Delhi, Delhi, India

Pure Mathematician, Applied Data Scientist

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Does the average primeness of natural numbers tend to zero?

number-theory limits statistics prime-numbers natural-numbers asked Apr 5, 2019 at 17:59

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37 votes

A beautiful limit involving primes and composites

real-analysis number-theory limits prime-numbers asked May 30, 2013 at 9:58

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30 votes

Does there exist positive rational $s$ for which $\zeta(s)$ is a positive integer?

real-analysis number-theory prime-numbers analytic-number-theory riemann-zeta asked Aug 19, 2018 at 5:35

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29 votes

Does these arithmetic means of Pythagorean triangles converge?

real-analysis geometry number-theory limits asked Oct 3, 2019 at 10:57

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27 votes

What is the sum of the binomial coefficients ${n\choose p}$ over prime numbers?

combinatorics number-theory summation prime-numbers binomial-coefficients asked Sep 25, 2018 at 18:34

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26 votes

Does every triangle satisfy $\frac{abc}{R^3} \ln \left(\frac{a}{R}\right)\ln \left(\frac{b}{R}\right)\ln \left(\frac{c}{R}\right) > -\ln 2$?

real-analysis geometry trigonometry inequality euclidean-geometry asked Apr 19 at 14:11

math.stackexchange.com

25 votes

Is there a prime every year if YYYYMMDD is treated as a base-$10$ number?

number-theory elementary-number-theory prime-numbers divisibility recreational-mathematics asked Dec 27, 2019 at 5:13

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21 votes

What is the closed form of this sum?

real-analysis sequences-and-series geometry number-theory summation asked Oct 21, 2019 at 4:49

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21 votes

Coronavirus growth rate and its (possibly spurious) resemblance to the vapor pressure model

statistics numerical-methods physics curves mathematical-modeling asked Feb 7, 2020 at 4:50

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20 votes

Is every prime is the largest prime factor in some prime gap?

number-theory elementary-number-theory prime-numbers divisibility analytic-number-theory asked Nov 30, 2019 at 13:01

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Top Answers

Do Arithmetic Mean and Geometric Mean of Prime Numbers converge?

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Why is Pascal's Triangle called a Triangle?

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Sum of 1 + 1/2 + 1/3 +.... + 1/n

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Does there exist positive rational $s$ for which $\zeta(s)$ is a positive integer?

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Number of distinct prime factors, omega(n)

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Is it possible to justify these approximations about prime numbers?

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Why does Venus transit so slowly?

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Is it possible to justify these approximations about prime numbers?

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Where does this series converges $1+\frac{1+2}{2!}+\frac{1+2+3}{3!}+\cdots$

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Where does $\pi^2$ appear spontaneously within Physical Phenomenon and Mathematics Equations?

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Origins of the conjecture on the existence of infinitely many palindromic primes

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BIG LIST: Statements that look obviously false but cannot be disproved

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BIG LIST: Statements that look obviously false but cannot be disproved

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How to prove that $4-\sqrt2 - \sqrt5 >0$?

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Conjecture: $\pi(x)\ge \pi\circ\pi(x)+\pi\circ\pi\circ\pi(x)+\cdots$

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Which grows at a faster rate $\ln(n!)$ or $\ln(n^n)$?

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Stronger result than bertrand's postulate

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Bertrand's postulate in another point of view

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Take a cube, add one, when is this a prime?

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Where does $\pi^2$ appear spontaneously within Physical Phenomenon and Mathematics Equations?

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How do I show that the sum of the reciprocals of perfect cubes is less than 3/2?

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What is the $n^\text{th}$ perfect power, $P(n)$?

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Sequences where $\sum\limits_{n=k}^{\infty}{a_n}=\sum\limits_{n=k}^{\infty}{a_n^2}$

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At what rate do these common definitions converge to the constant $e=2.718...$?

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Diophantine equation $a^2+b^2=c^2+d^2+4$ over positive integers

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What is notable about the composite numbers between twin primes?

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Did the science of mathematics begin with the Vedas?

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Prove that $2^n>\frac{n(n-1)(n-2)}6$ for $n\in\Bbb N$

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What's the fastest growing function known to contain infinitely many primes?

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find the integral $\int ^\infty_0e^{-xu}\frac{\sin u}{u}du$

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