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Nilotpal Kanti Sinha

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nt.number-theory

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37 Questions

Votes Activity Newest Views
42
62
votes
19
answers
11k
views

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

soft-question big-list ho.history-overview
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
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
1
2 Next
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