A093775 - OEIS

A093775

Smallest integers at which the value of truncated Mertens function equals the n-th primorial, the product of first n prime numbers.

6, 21, 129, 1290, 20209, 353018, 7537961, 173772587, 4735433401, 160157951005

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OFFSET

1,1

LINKS

FORMULA

Solutions to Min(x : A088004(x) = n!), i.e. a(n) = Min(x: A002321(x) + A000720(x) = A002110(n))

MATHEMATICA

pri[x_] :=pri[x-1]*Prime[x]; pri[0]=1; s = 0; k = 1; Do[ While[s = s + MoebiusMu[k]; s + PrimePi[k] < pri[n], k++ ]; Print[k]; k++, {n, 10}]

CROSSREFS

KEYWORD

hard,more,nonn

AUTHOR

Labos Elemer, May 03 2004

EXTENSIONS

a(8)-a(10) from Donovan Johnson, Jun 21 2012

STATUS

approved