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 A073162 n is such that partial sum of pi(k) from 1 to n is divisible by n. 2
 1, 3, 17, 37, 9107, 156335, 679083, 1068131, 4883039, 101691357 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(11) > 10^12. - Donovan Johnson, Mar 19 2011 a(11) > 10^13. - Lucas A. Brown, Oct 05 2020 LINKS Table of n, a(n) for n=1..10. FORMULA Solutions to Mod[A046992(x), x]=0 EXAMPLE a(3) = 17 because 0+1+2+2+3+3+4+4+4+4+5+5+6+6+6+6+7 = 68 = 4*17. MATHEMATICA s = 0; Do[s = s + PrimePi[n]; If[ IntegerQ[s/n], Print[{n, s, s/n}]], {n, 1, 10^8}] CROSSREFS Cf. A046992, A000720, A073163, A073164, A073224. Sequence in context: A106896 A097938 A354475 * A146186 A179783 A196781 Adjacent sequences: A073159 A073160 A073161 * A073163 A073164 A073165 KEYWORD nonn,more AUTHOR Labos Elemer, Jul 18 2002 EXTENSIONS Edited and extended by Robert G. Wilson v, Jul 20 2002 a(10) from Donovan Johnson, Dec 15 2009 STATUS approved

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Last modified April 18 15:35 EDT 2024. Contains 371780 sequences. (Running on oeis4.)