User Nilotpal Kanti Sinha

40

59

votes

19

answers

10k

views

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

Jan 6 '19 at 18:50 Mark S 1,433

30

45

votes

4

answers

6k

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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 70.4k

8

30

votes

2

answers

5k

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

9

25

votes

3

answers

3k

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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 at 3:43 JS Music 29

9

22

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 2,244

9

17

votes

2

answers

1k

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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 at 19:39 Nilotpal Kanti Sinha 3,460

10

17

votes

2

answers

612

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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 at 15:12 Michael Hardy 8,686

9

12

votes

2

answers

2k

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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 595

5

10

votes

1

answer

387

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Riemann sum formula for definite integral using prime numbers

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

Sep 22 '18 at 4:35 user44191 4,236

2

8

votes

1

answer

764

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

254

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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 at 1:13 Nilotpal Kanti Sinha 3,460

7

6

votes

1

answer

252

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 at 23:21 Lucia 38k

3

6

votes

1

answer

171

views

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

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

Aug 12 at 7:53 Nilotpal Kanti Sinha 3,460

3

6

votes

3

answers

654

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 27.1k

4

5

votes

0

answers

296

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 3,460

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

3

4

votes

0

answers

108

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 at 14:06 Nilotpal Kanti Sinha 3,460

2

4

votes

0

answers

78

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 at 23:40 Geoff Robinson 33.6k

2

4

votes

2

answers

1k

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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 27.1k

4

votes

2

answers

253

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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

412

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Most inconsistent ranking

st.statistics co.combinatorics

Feb 19 '13 at 23:38 Sergey Norin 2,899

2

4

votes

2

answers

658

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On a sum involving prime numbers

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

Feb 11 '13 at 19:54 Greg Martin 11.9k

2

3

votes

0

answers

249

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 at 16:31 Nilotpal Kanti Sinha 3,460

2

3

votes

2

answers

425

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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 3,460

2

3

votes

1

answer

241

views

Fluctuating constants

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

Aug 4 '16 at 15:26 Lucia 38k

1

3

votes

3

answers

711

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 3,460

1

2

votes

0

answers

116

views

How many divisors of $\phi(m)$ do not divide $m-1$?

nt.number-theory prime-numbers sequences-and-series

Sep 2 at 6:12 Nilotpal Kanti Sinha 3,460

2

votes

1

answer

481

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 5 '16 at 6:47 Community♦ 1

2

1

vote

0

answers

41

views

Mean value of a function with binomial coefficients as weights

nt.number-theory real-analysis limits-and-convergence binomial-coefficients

Aug 10 at 15:33 Nilotpal Kanti Sinha 3,460

1

vote

0

answers

38

views

Convergence acceleration of a series by using optimal parameters

real-analysis sequences-and-series limits-and-convergence power-series

May 25 at 21:00 Nilotpal Kanti Sinha 3,460

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33 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) $?

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

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

Sequences equidistributed modulo 1

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

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

How many divisors of $\phi(m)$ do not divide $m-1$?

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

Mean value of a function with binomial coefficients as weights

Convergence acceleration of a series by using optimal parameters