estimation for big 'x' in sums over primes
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can we state from prime number theorem that
$$ sum_{ple x}1/p =-gamma+loglog(x) $$
$$ sum_{ple x}p^{m} = li(x^{m+1}) $$
$m$ is a real number $ xge -1 $
valid as $ x sim infty $
number-theory distribution-of-primes
asked Nov 25 at 14:51
Jose Garcia
4,29411637
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up vote
0
down vote
favorite
can we state from prime number theorem that
$$ sum_{ple x}1/p =-gamma+loglog(x) $$
$$ sum_{ple x}p^{m} = li(x^{m+1}) $$
$m$ is a real number $ xge -1 $
valid as $ x sim infty $
number-theory distribution-of-primes
asked Nov 25 at 14:51
Jose Garcia
4,29411637
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
can we state from prime number theorem that
$$ sum_{ple x}1/p =-gamma+loglog(x) $$
$$ sum_{ple x}p^{m} = li(x^{m+1}) $$
$m$ is a real number $ xge -1 $
valid as $ x sim infty $
number-theory distribution-of-primes
asked Nov 25 at 14:51
Jose Garcia
4,29411637
can we state from prime number theorem that
$$ sum_{ple x}1/p =-gamma+loglog(x) $$
$$ sum_{ple x}p^{m} = li(x^{m+1}) $$
$m$ is a real number $ xge -1 $
valid as $ x sim infty $
number-theory distribution-of-primes
number-theory distribution-of-primes
asked Nov 25 at 14:51
Jose Garcia
4,29411637
asked Nov 25 at 14:51
Jose Garcia
4,29411637
asked Nov 25 at 14:51
Jose Garcia
4,29411637
asked Nov 25 at 14:51
Jose Garcia
4,29411637
asked Nov 25 at 14:51
Jose Garcia
4,29411637
4,29411637
add a comment |
add a comment |
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