summation of floor function involving prime number
Can you give me some hints on solving following summation. Is there any theory concerning the following summation?
$p$ is a prime number > 2
$$sum_{s=2}^{p-1}left(leftlfloorfrac{p}{s}rightrfloor sright)$$
I tried to apply the following formula
$$leftlfloor frac{x}{y}rightrfloor = frac{x - (xmod{y})}{y}.$$
But it does not get me anything useful.
Thanks in Advance.
number-theory prime-numbers floor-function
edited Nov 22 '18 at 12:23
amWhy
192k28225439
asked Nov 22 '18 at 12:04
srinivasu u
1012
add a comment |
Can you give me some hints on solving following summation. Is there any theory concerning the following summation?
$p$ is a prime number > 2
$$sum_{s=2}^{p-1}left(leftlfloorfrac{p}{s}rightrfloor sright)$$
I tried to apply the following formula
$$leftlfloor frac{x}{y}rightrfloor = frac{x - (xmod{y})}{y}.$$
But it does not get me anything useful.
Thanks in Advance.
number-theory prime-numbers floor-function
edited Nov 22 '18 at 12:23
amWhy
192k28225439
asked Nov 22 '18 at 12:04
srinivasu u
1012
add a comment |
Can you give me some hints on solving following summation. Is there any theory concerning the following summation?
$p$ is a prime number > 2
$$sum_{s=2}^{p-1}left(leftlfloorfrac{p}{s}rightrfloor sright)$$
I tried to apply the following formula
$$leftlfloor frac{x}{y}rightrfloor = frac{x - (xmod{y})}{y}.$$
But it does not get me anything useful.
Thanks in Advance.
number-theory prime-numbers floor-function
edited Nov 22 '18 at 12:23
amWhy
192k28225439
asked Nov 22 '18 at 12:04
srinivasu u
1012
Can you give me some hints on solving following summation. Is there any theory concerning the following summation?
$p$ is a prime number > 2
$$sum_{s=2}^{p-1}left(leftlfloorfrac{p}{s}rightrfloor sright)$$
I tried to apply the following formula
$$leftlfloor frac{x}{y}rightrfloor = frac{x - (xmod{y})}{y}.$$
But it does not get me anything useful.
Thanks in Advance.
number-theory prime-numbers floor-function
number-theory prime-numbers floor-function
edited Nov 22 '18 at 12:23
amWhy
192k28225439
asked Nov 22 '18 at 12:04
srinivasu u
1012
edited Nov 22 '18 at 12:23
amWhy
192k28225439
asked Nov 22 '18 at 12:04
srinivasu u
1012
edited Nov 22 '18 at 12:23
amWhy
192k28225439
edited Nov 22 '18 at 12:23
amWhy
192k28225439
edited Nov 22 '18 at 12:23
amWhy
192k28225439
192k28225439
asked Nov 22 '18 at 12:04
srinivasu u
1012
asked Nov 22 '18 at 12:04
srinivasu u
1012
asked Nov 22 '18 at 12:04
srinivasu u
1012
1012
add a comment |
add a comment |
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