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Extending Rosser's Theorem
Let
be the number of primes up to
. The prime number theorem states that
and implies that
, where
is the
prime. Rosser proved that
for all
. Rosser's theorem was extended to
, for all
.
The curves plotted are
(blue),
(khaki), and
(brown).
Contributed by:
Jon Perry
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Rosser's Theorem
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Extending Rosser's Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ExtendingRossersTheorem/
Contributed by:
Jon Perry
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