A048980 Difference between number of nonprimes and primes in reduced residue system of primorial numbers.

1, 1, 0, -6, -36, -196, -724, 7512, 366838, 11928316, 421130508, 14598816402, 584642184936, 25314953837836, 1128885572358548, 54492272309366314, 2950485568862138250, 213151926413154110951

Offset: 0

Author

Labos Elemer

Keywords

• sign

Examples

			n=4, Q(4)=2*3*5*7=210, reduced residue system includes 48 terms:42 primes and 6 composites and 1: a(4)=6-42=-36.
		

Crossrefs

Cf. A048868, A048867, A048597, A002110, A048862, A048863, A048866.

Programs

Mathematica

Table[Function[P, EulerPhi@ P - 2 # &[PrimePi@ P - n]]@ Product[Prime@ i, {i, n}], {n, 0, 12}] (* Michael De Vlieger, May 08 2017 *)

Formula

a(n) = A048863(n) - A048862(n) = A048866(A002110(n)).

a(n) = A005867(n) - 2*A000849(n) + 2*n.

Extensions

Corrected and extended by Max Alekseyev, Feb 22 2016