Fdtxjr

Is it legal for company to use my work email to pretend I still work there?

Is it possible to run Internet Explorer on OS X El Capitan?

Is it possible to create light that imparts a greater proportion of its energy as momentum rather than heat?

Is it inappropriate for a student to attend their mentor's dissertation defense?

Blender 2.8 I can't see vertices, edges or faces in edit mode

Stopping power of mountain vs road bike

Does a druid starting with a bow start with no arrows?

Assassin's bullet with mercury

How much of data wrangling is a data scientist's job?

Intersection of two sorted vectors in C++

What is the most common color to indicate the input-field is disabled?

How can I tell someone that I want to be his or her friend?

I'm flying to France today and my passport expires in less than 2 months

Should I tell management that I intend to leave due to bad software development practices?

Could gravitational lensing be used to protect a spaceship from a laser?

A reference to a well-known characterization of scattered compact spaces

How can I prevent hyper evolved versions of regular creatures from wiping out their cousins?

Watching something be written to a file live with tail

Arrow those variables!

90's TV series where a boy goes to another dimension through portal near power lines

Why do I get two different answers for this counting problem?

What's the difference between 'rename' and 'mv'?

Why is consensus so controversial in Britain?

1960's book about a plague that kills all white people

Prime-distances on a parabola parallel to the x axis and centered in the origin

A guess about prime number and modular arithmetic.Origin of well-ordering proof of uniqueness in the FToArithmeticMarking the prime points on a circleWhat integers are coprime to the first $x$ prime numbers?Best known inequality for the larger prime number of a product?The relationships between Prime number and Fibonacci numberOn the number of divisors within given boundsEstimates for Sum of Prime Factors and Number of Prime FactorsThe same number of prime factors and decimal digits.show this either $m=k^2$ or $m = 5k^2$ for some integer $k$.

-1

$begingroup$

Let be $f(x)=fracsqrtxsqrta$, where a is a positive integer. My question is if there could be two points $(n,f(n))$ and $((n+1),f(n+1))$ whose distance is a prime number, where $n=0,1,2,3,4,5,6...$ and in particular for a given $a$ which is the lowest value of $n$ for which the distance between the two points is a prime value.

number-theory

share|cite|improve this question

edited Mar 21 at 15:24

Enzo Creti

asked Mar 21 at 15:00

Enzo CretiEnzo Creti

2041420

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to MSE. Please give some context, in particular, tell us what you've tried so far, including anything in particular you had difficulty with. Also, letting us know where this problem comes from would be helpful. Thanks. Also, I believe I've solved it to show the distance is never integral, much less a prime number. If you show what you've done, I can compare it with what I've done & possibly help you finish the solution.
  $endgroup$
  – John Omielan
  Mar 21 at 19:35
  
  

  
  
  
  

add a comment | 

-1

$begingroup$

Let be $f(x)=fracsqrtxsqrta$, where a is a positive integer. My question is if there could be two points $(n,f(n))$ and $((n+1),f(n+1))$ whose distance is a prime number, where $n=0,1,2,3,4,5,6...$ and in particular for a given $a$ which is the lowest value of $n$ for which the distance between the two points is a prime value.

number-theory

share|cite|improve this question

edited Mar 21 at 15:24

Enzo Creti

asked Mar 21 at 15:00

Enzo CretiEnzo Creti

2041420

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to MSE. Please give some context, in particular, tell us what you've tried so far, including anything in particular you had difficulty with. Also, letting us know where this problem comes from would be helpful. Thanks. Also, I believe I've solved it to show the distance is never integral, much less a prime number. If you show what you've done, I can compare it with what I've done & possibly help you finish the solution.
  $endgroup$
  – John Omielan
  Mar 21 at 19:35
  
  

  
  
  
  

add a comment | 

$begingroup$

Let be $f(x)=fracsqrtxsqrta$, where a is a positive integer. My question is if there could be two points $(n,f(n))$ and $((n+1),f(n+1))$ whose distance is a prime number, where $n=0,1,2,3,4,5,6...$ and in particular for a given $a$ which is the lowest value of $n$ for which the distance between the two points is a prime value.

number-theory

share|cite|improve this question

edited Mar 21 at 15:24

Enzo Creti

asked Mar 21 at 15:00

Enzo CretiEnzo Creti

2041420

$endgroup$

share|cite|improve this question

edited Mar 21 at 15:24

Enzo Creti

asked Mar 21 at 15:00

Enzo CretiEnzo Creti

2041420

share|cite|improve this question

edited Mar 21 at 15:24

Enzo Creti

asked Mar 21 at 15:00

Enzo CretiEnzo Creti

2041420

asked Mar 21 at 15:00

Enzo CretiEnzo Creti

2041420

asked Mar 21 at 15:00

Enzo CretiEnzo Creti

2041420