User Nilotpal Kanti Sinha

42

62

votes

19

answers

11k

views

Mathematicians whose works were criticized by contemporaries but became widely accepted later

Jan 6 '19 at 18:50 Mark S 1,543

32

46

votes

4

answers

7k

views

Why could Mertens not prove the prime number theorem?

nt.number-theory real-analysis prime-numbers analytic-number-theory prime-number-theorem

Dec 21 '17 at 3:09 GH from MO 76.5k

10

33

votes

2

answers

6k

views

Why do primes dislike dividing the sum of all the preceding primes?

nt.number-theory prime-numbers analytic-number-theory divisors-multiples prime-number-theorem

Mar 25 '19 at 18:41 Community♦ 1

11

27

votes

3

answers

3k

views

Expressing the Riemann Zeta function in terms of GCD and LCM

nt.number-theory real-analysis analytic-number-theory prime-numbers divisors-multiples

Jan 5 '20 at 3:43 JS Music 39

9

23

votes

1

answer

2k

views

Does the average primeness of natural numbers tend to zero?

nt.number-theory real-analysis analytic-number-theory prime-numbers

Apr 8 '19 at 14:47 Asymptotiac K 2,406

9

17

votes

2

answers

1k

views

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

nt.number-theory analytic-number-theory prime-numbers divisors-multiples prime-gaps

Dec 21 '19 at 19:39 Nilotpal Kanti Sinha 3,756

10

17

votes

2

answers

632

views

Does the mean ratio of the perimeter to the hypotenuse of right triangles converge to $1 + \dfrac{4}{\pi}$?

nt.number-theory analytic-number-theory

Oct 7 '19 at 15:12 Michael Hardy 9,028

9

13

votes

2

answers

2k

views

Asymptotics of the n-th prime using the gamma function

nt.number-theory real-analysis prime-numbers analytic-number-theory prime-number-theorem

May 5 '18 at 6:02 Lucian 625

5

11

votes

1

answer

487

views

Riemann sum formula for definite integral using prime numbers

nt.number-theory analytic-number-theory prime-numbers

Sep 22 '18 at 4:35 user44191 4,525

2

8

votes

1

answer

782

views

Density of prime pairs whose gap is less than the average gap

nt.number-theory real-analysis prime-numbers analytic-number-theory probability-distributions

Aug 4 '16 at 10:09 Community♦ 1

5

7

votes

0

answers

262

views

Are there infinitely many zeroes of $\sum_{r = 1}^{n-1} \mu(r)\gcd(n,r) $?

nt.number-theory analytic-number-theory prime-numbers computational-number-theory

Jul 26 '19 at 1:13 Nilotpal Kanti Sinha 3,756

3

6

votes

1

answer

324

views

If $n = 18k+5$ is composite, there are at least 9 divisors of $\phi(n)$ which do not divide $n-1$

nt.number-theory analytic-number-theory prime-numbers divisors-multiples

Aug 14 at 12:06 Dante Servi 1

7

6

votes

1

answer

341

views

How many numbers $\le x$ can be factorized into three numbers which form the sides of a triangle?

nt.number-theory real-analysis analytic-number-theory prime-numbers

Mar 15 '20 at 23:21 Lucia 40.6k

3

6

votes

1

answer

205

views

What is the growth rate of the products of binomial coefficients?

nt.number-theory co.combinatorics real-analysis asymptotics binomial-coefficients

Aug 12 '19 at 7:53 Nilotpal Kanti Sinha 3,756

3

6

votes

3

answers

666

views

A simple looking problem in partitions that became increasingly complex

nt.number-theory additive-combinatorics prime-numbers

May 9 '12 at 10:25 Aaron Meyerowitz 28.1k

2

5

votes

1

answer

280

views

Is every integer $\ge 312$ the sum of two integers with triangular divisors?

nt.number-theory real-analysis analytic-number-theory prime-numbers additive-combinatorics

Jun 9 at 16:01 Community♦ 1

3

5

votes

0

answers

123

views

Is finding positive integer solutions of $\zeta(a/b) = c$ equivalent to deciding the rationality of $\gamma$?

nt.number-theory real-analysis prime-numbers riemann-zeta-function prime-number-theorem

Jan 25 '20 at 14:06 Nilotpal Kanti Sinha 3,756

4

5

votes

0

answers

312

views

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

nt.number-theory co.combinatorics analytic-number-theory prime-numbers asymptotics

Sep 27 '18 at 5:48 Nilotpal Kanti Sinha 3,756

7

5

votes

6

answers

2k

views

Sequences equidistributed modulo 1

analytic-number-theory nt.number-theory prime-numbers zeta-functions

Aug 5 '16 at 1:41 Community♦ 1

4

votes

0

answers

196

views

Can the inverse of the Riemann zeta function in $s > 1$ be expressed as a series?

nt.number-theory real-analysis analytic-number-theory sequences-and-series riemann-zeta-function

Aug 31 at 4:44 Nilotpal Kanti Sinha 3,756

5

4

votes

1

answer

741

views

There at least 4 divisors of $n-1$ which do not divide $\phi(n)$ if $n$ is a composite of the form $6k+1$

nt.number-theory prime-numbers analytic-number-theory divisors-multiples

Aug 13 at 12:11 WhatsUp 3,010

2

4

votes

0

answers

81

views

Is the ratio of a number to the variance of its divisors injective?

nt.number-theory real-analysis analytic-number-theory prime-numbers

Aug 9 '19 at 23:40 Geoff Robinson 36.6k

2

4

votes

2

answers

2k

views

Probability that randomly chosen integers from a restricted set of natural numbers are coprime

nt.number-theory prime-number-theorem pr.probability prime-numbers

Apr 19 '18 at 10:01 Aaron Meyerowitz 28.1k

4

votes

2

answers

268

views

Congruences for the non-divisors of Euler's $\phi(n)$

nt.number-theory prime-numbers analytic-number-theory computational-number-theory arithmetic-functions

Aug 9 '16 at 20:03 Community♦ 1

1

4

votes

2

answers

420

views

Most inconsistent ranking

st.statistics co.combinatorics

Feb 19 '13 at 23:38 Sergey Norin 2,928

2

4

votes

2

answers

667

views

On a sum involving prime numbers

prime-numbers analytic-number-theory nt.number-theory

Feb 11 '13 at 19:54 Greg Martin 12.2k

2

3

votes

0

answers

256

views

If $p^2 - q^2$ is a perfect square where $p$ and $q$ are primes $> 5000$ then is one of its prime factors always greater than $17$? [closed]

nt.number-theory analytic-number-theory prime-numbers factorization

Dec 28 '19 at 16:31 Nilotpal Kanti Sinha 3,756

2

3

votes

2

answers

438

views

Unknown bias in a distribution related to prime numbers

nt.number-theory co.combinatorics real-analysis prime-numbers na.numerical-analysis

Sep 6 '16 at 7:00 Nilotpal Kanti Sinha 3,756

2

3

votes

1

answer

254

views

Fluctuating constants

nt.number-theory real-analysis prime-numbers analytic-number-theory na.numerical-analysis

Aug 4 '16 at 15:26 Lucia 40.6k

1

3

votes

3

answers

722

views

Mathematical techniques to reduce the amount of storage memory

nt.number-theory prime-numbers co.combinatorics

Feb 13 '13 at 6:07 Nilotpal Kanti Sinha 3,756

Stack Exchange Network

current community

your communities

more stack exchange communities

Next privilege

Next badge

37 Questions

Mathematicians whose works were criticized by contemporaries but became widely accepted later

Why could Mertens not prove the prime number theorem?

Why do primes dislike dividing the sum of all the preceding primes?

Expressing the Riemann Zeta function in terms of GCD and LCM

Does the average primeness of natural numbers tend to zero?

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

Does the mean ratio of the perimeter to the hypotenuse of right triangles converge to $1 + \dfrac{4}{\pi}$?

Asymptotics of the n-th prime using the gamma function

Riemann sum formula for definite integral using prime numbers

Density of prime pairs whose gap is less than the average gap

Are there infinitely many zeroes of $\sum_{r = 1}^{n-1} \mu(r)\gcd(n,r) $?

If $n = 18k+5$ is composite, there are at least 9 divisors of $\phi(n)$ which do not divide $n-1$

How many numbers $\le x$ can be factorized into three numbers which form the sides of a triangle?

What is the growth rate of the products of binomial coefficients?

A simple looking problem in partitions that became increasingly complex

Is every integer $\ge 312$ the sum of two integers with triangular divisors?

Is finding positive integer solutions of $\zeta(a/b) = c$ equivalent to deciding the rationality of $\gamma$?

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

Sequences equidistributed modulo 1

Can the inverse of the Riemann zeta function in $s > 1$ be expressed as a series?

There at least 4 divisors of $n-1$ which do not divide $\phi(n)$ if $n$ is a composite of the form $6k+1$

Is the ratio of a number to the variance of its divisors injective?

Probability that randomly chosen integers from a restricted set of natural numbers are coprime

Congruences for the non-divisors of Euler's $\phi(n)$

Most inconsistent ranking

On a sum involving prime numbers

If $p^2 - q^2$ is a perfect square where $p$ and $q$ are primes $> 5000$ then is one of its prime factors always greater than $17$? [closed]

Unknown bias in a distribution related to prime numbers

Fluctuating constants

Mathematical techniques to reduce the amount of storage memory