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A121161 a(n) is the nearest integer to log(lcm(1,2,3,...,10^n)). 0
0, 8, 94, 997, 10013, 100052, 999587, 9998539, 99998243, 1000001596, 10000042120 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..10.

Andrew Granville and Greg Martin, Prime Number Races, arXiv:math/0408319v1 [math.NT] (see page 11).

FORMULA

For asymptotics see A003418.

a(n) = Sum_{i=1..PrimePi(10^n)} log(p_i^e_i), where e is the maximum exponent such that p^e < 10^n. - Robert G. Wilson v, Aug 16 2006

MATHEMATICA

f[n_] := Block[{s = 0, i = 1, j = PrimePi[10^n], m = 10^n}, While[i <= j, p = Prime@i; s = s + N[Floor[ Log[p, m]]Log[p], 12]; i++ ]; Round@s]; Do[ Print[f@n], {n, 0, 8}] (* Robert G. Wilson v, Aug 16 2006 *)

CROSSREFS

Cf. A003418.

Sequence in context: A299339 A299846 A214385 * A098269 A010565 A299002

Adjacent sequences:  A121158 A121159 A121160 * A121162 A121163 A121164

KEYWORD

more,nonn

AUTHOR

Lekraj Beedassy, Aug 13 2006

EXTENSIONS

More terms from Robert G. Wilson v, Aug 16 2006

a(9), a(10) from Robert G. Wilson v, Sep 03 2012

STATUS

approved

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Last modified August 15 17:39 EDT 2022. Contains 356148 sequences. (Running on oeis4.)