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 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES John H. Conway and R. K. Guy, "The Book of Numbers," Copernicus, an imprint of Springer-Verlag, NY, 1995, Page 146. LINKS 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

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Last modified November 16 17:39 EST 2018. Contains 317275 sequences. (Running on oeis4.)