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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
OFFSET
1,2
COMMENTS
a(11) > 10^12. - Donovan Johnson, Mar 19 2011
a(11) > 10^13. - Lucas A. Brown, Oct 05 2020
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
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