A226744 Round((10^n)/(log(10^n) - 1)).

8, 28, 169, 1218, 9512, 78030, 661459, 5740304, 50701542, 454011971, 4110416301, 37550193650, 345618860221, 3201414635781, 29816233849001, 279007258230820, 2621647966812031, 24723998785919976, 233922961602470391, 2219671974013732243

Offset: 1

Author

Arkadiusz Wesolowski, Aug 31 2013

Keywords

• nonn

Examples

			a(2) = 28 because (10^2)/(log(10^2) - 1) = 27.7379415786....
		

References

• A. M. Legendre, Essai sur la Théorie des Nombres, Paris: Duprat, 1808.

Links

• Eric Weisstein's World of Mathematics, Legendre's Constant
• Eric Weisstein's World of Mathematics, Prime Counting Function
• Eric Weisstein's World of Mathematics, Prime Number Theorem

Crossrefs

Another version of A193257.

Cf. A058289, A006880, A057834, A000720.

Programs

Mathematica

Table[Round[10^n/(Log[10^n] - 1)], {n, 20}]

PARI

for(n=1, 20, print1(round(10^n/(log(10^n)-1)), ", "));

Formula

a(n) = round((10^n)/(log(10^n) - 1)).