

A057835


Difference between pi(10^n) and the integer nearest to 10^n / log(10^n).


4



0, 3, 23, 143, 906, 6116, 44158, 332774, 2592592, 20758029, 169923159, 1416705193, 11992858452, 102838308636, 891604962452, 7804289844393, 68883734693928, 612483070893536, 5481624169369961, 49347193044659702, 446579871578168707, 4060704006019620994, 37083513766578631309, 339996354713708049069, 3128516637843038351228
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OFFSET

1,2


REFERENCES

John H. Conway and R. K. Guy, "The Book of Numbers," Copernicus, an imprint of SpringerVerlag, NY, 1995, Page 146.


LINKS

Table of n, a(n) for n=1..25.
Wikipedia, Prime number theorem


FORMULA

a(n)=round[A006880(n)A057834(n)]  Henry Bottomley, Aug 10 2005
a(n) ~ 10^n/(n log 10)^2.  Charles R Greathouse IV, Mar 22 2015


MATHEMATICA

Table[ PrimePi[10^n]  Round[ N[ 10^n/Log[ 10^n ] ] ], {n, 1, 13} ]


PROG

(PARI) a(n)=primepi(10^n)round(10^n/log(10^n)) \\ Charles R Greathouse IV, Mar 22 2015


CROSSREFS

Sequence in context: A255952 A089950 A198797 * A232145 A079755 A197176
Adjacent sequences: A057832 A057833 A057834 * A057836 A057837 A057838


KEYWORD

nonn


AUTHOR

Robert G. Wilson v, Nov 08 2000


EXTENSIONS

More terms from Jud McCranie, Jun 21 2005
Corrected and extended by Henry Bottomley, Aug 10 2005
a(22) to a(25) from Vladimir Pletser, Aug 10 2013


STATUS

approved



