Growth of $pi (2^ n)$
0
Is the growth of the function $pi(2^n)$ polynomial?Is it exponential? The parameter here is $n$. $pi()$ is prime counting function.
number-theory prime-numbers
edited Nov 21 '18 at 13:35
Klangen
1,65411334
asked Sep 7 '17 at 11:58
user3911255
252
add a comment |
0
Is the growth of the function $pi(2^n)$ polynomial?Is it exponential? The parameter here is $n$. $pi()$ is prime counting function.
number-theory prime-numbers
edited Nov 21 '18 at 13:35
Klangen
1,65411334
asked Sep 7 '17 at 11:58
user3911255
252
1
what has been tried ?
– user451844
Sep 7 '17 at 12:01
3
If you just want a final answer, use the Prime Number Theorem.
– BAI
Sep 7 '17 at 12:02
2
What can you say about $2^n/log(2^n)$ ?
– Yves Daoust
Sep 7 '17 at 12:03
2
This is sequence $A007053$ at $OEIS$. Have a look at the second plot (if still required after Yves Daoust's comments)
– Claude Leibovici
Sep 7 '17 at 12:35
1
Here's a direct link: oeis.org/A007053 Almost anything about number theory, the OEIS is sure to have something directly on point or at least relevant.
– Robert Soupe
Sep 7 '17 at 18:09
add a comment |
0
0
0
Is the growth of the function $pi(2^n)$ polynomial?Is it exponential? The parameter here is $n$. $pi()$ is prime counting function.
number-theory prime-numbers
edited Nov 21 '18 at 13:35
Klangen
1,65411334
asked Sep 7 '17 at 11:58
user3911255
252
Is the growth of the function $pi(2^n)$ polynomial?Is it exponential? The parameter here is $n$. $pi()$ is prime counting function.
number-theory prime-numbers
number-theory prime-numbers
edited Nov 21 '18 at 13:35
Klangen
1,65411334
asked Sep 7 '17 at 11:58
user3911255
252
edited Nov 21 '18 at 13:35
Klangen
1,65411334
asked Sep 7 '17 at 11:58
user3911255
252
edited Nov 21 '18 at 13:35
Klangen
1,65411334
edited Nov 21 '18 at 13:35
Klangen
1,65411334
edited Nov 21 '18 at 13:35
Klangen
1,65411334
1,65411334
asked Sep 7 '17 at 11:58
user3911255
252
asked Sep 7 '17 at 11:58
user3911255
252
asked Sep 7 '17 at 11:58
user3911255
252
252
1
what has been tried ?
– user451844
Sep 7 '17 at 12:01
3
If you just want a final answer, use the Prime Number Theorem.
– BAI
Sep 7 '17 at 12:02
2
What can you say about $2^n/log(2^n)$ ?
– Yves Daoust
Sep 7 '17 at 12:03
2
This is sequence $A007053$ at $OEIS$. Have a look at the second plot (if still required after Yves Daoust's comments)
– Claude Leibovici
Sep 7 '17 at 12:35
1
Here's a direct link: oeis.org/A007053 Almost anything about number theory, the OEIS is sure to have something directly on point or at least relevant.
– Robert Soupe
Sep 7 '17 at 18:09
add a comment |
1
what has been tried ?
– user451844
Sep 7 '17 at 12:01
3
If you just want a final answer, use the Prime Number Theorem.
– BAI
Sep 7 '17 at 12:02
2
What can you say about $2^n/log(2^n)$ ?
– Yves Daoust
Sep 7 '17 at 12:03
2
This is sequence $A007053$ at $OEIS$. Have a look at the second plot (if still required after Yves Daoust's comments)
– Claude Leibovici
Sep 7 '17 at 12:35
1
Here's a direct link: oeis.org/A007053 Almost anything about number theory, the OEIS is sure to have something directly on point or at least relevant.
– Robert Soupe
Sep 7 '17 at 18:09
1
1
what has been tried ?
– user451844
Sep 7 '17 at 12:01
what has been tried ?
– user451844
Sep 7 '17 at 12:01
3
3
If you just want a final answer, use the Prime Number Theorem.
– BAI
Sep 7 '17 at 12:02
If you just want a final answer, use the Prime Number Theorem.
– BAI
Sep 7 '17 at 12:02
2
2
What can you say about $2^n/log(2^n)$ ?
– Yves Daoust
Sep 7 '17 at 12:03
What can you say about $2^n/log(2^n)$ ?
– Yves Daoust
Sep 7 '17 at 12:03
2
2
This is sequence $A007053$ at $OEIS$. Have a look at the second plot (if still required after Yves Daoust's comments)
– Claude Leibovici
Sep 7 '17 at 12:35
This is sequence $A007053$ at $OEIS$. Have a look at the second plot (if still required after Yves Daoust's comments)
– Claude Leibovici
Sep 7 '17 at 12:35
1
1
Here's a direct link: oeis.org/A007053 Almost anything about number theory, the OEIS is sure to have something directly on point or at least relevant.
– Robert Soupe
Sep 7 '17 at 18:09
Here's a direct link: oeis.org/A007053 Almost anything about number theory, the OEIS is sure to have something directly on point or at least relevant.
– Robert Soupe
Sep 7 '17 at 18:09
add a comment |
0
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1
what has been tried ?
– user451844
Sep 7 '17 at 12:01
3
If you just want a final answer, use the Prime Number Theorem.
– BAI
Sep 7 '17 at 12:02
2
What can you say about $2^n/log(2^n)$ ?
– Yves Daoust
Sep 7 '17 at 12:03
2
This is sequence $A007053$ at $OEIS$. Have a look at the second plot (if still required after Yves Daoust's comments)
– Claude Leibovici
Sep 7 '17 at 12:35
1
Here's a direct link: oeis.org/A007053 Almost anything about number theory, the OEIS is sure to have something directly on point or at least relevant.
– Robert Soupe
Sep 7 '17 at 18:09