Prime-distances on a parabola parallel to the x axis and centered in the origin The 2019 Stack...
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Prime-distances on a parabola parallel to the x axis and centered in the origin
The 2019 Stack Overflow Developer Survey Results Are InA 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 $k$.
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Let be $f(x)=frac{sqrt{x}}{sqrt{a}}$, 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
asked Mar 21 at 15:00
Enzo CretiEnzo Creti
1
$endgroup$
add a comment |
$begingroup$
Let be $f(x)=frac{sqrt{x}}{sqrt{a}}$, 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
asked Mar 21 at 15:00
Enzo CretiEnzo Creti
1
$endgroup$
$begingroup$
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 $f(x)=frac{sqrt{x}}{sqrt{a}}$, 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
asked Mar 21 at 15:00
Enzo CretiEnzo Creti
1
$endgroup$
Let be $f(x)=frac{sqrt{x}}{sqrt{a}}$, 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
number-theory
asked Mar 21 at 15:00
Enzo CretiEnzo Creti
1
asked Mar 21 at 15:00
Enzo CretiEnzo Creti
1
edited Mar 21 at 15:24
Enzo Creti
asked Mar 21 at 15:00
Enzo CretiEnzo Creti
1
asked Mar 21 at 15:00
Enzo CretiEnzo Creti
1
asked Mar 21 at 15:00
Enzo CretiEnzo Creti
1
1
$begingroup$
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 |
$begingroup$
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
$begingroup$
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
$begingroup$
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 |
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$begingroup$
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