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

Offset: 1

Author

Labos Elemer, May 03 2004

Keywords

• hard
• more
• nonn

Crossrefs

Cf. A002321, A000720, A088004, A093772, A093773, A002110, A093774.

Programs

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}]

Formula

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

Extensions

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