A057858 Number of residue classes modulo n-th primorial number which contain only composite numbers.

0, 0, 2, 19, 158, 1825, 24264, 418343, 8040802, 186597501, 5447823140, 169904387719, 6317118448398, 260105476071197

Offset

0,3

Links

Table of n, a(n) for n=0..13.

Formula

a(n) = A002110(n) - A057857(n).

Example

a(3) = 19 since 30 is the 3rd primorial number and 30k+m is always composite if m = 0, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27 or 28.

Crossrefs

Cf. A002110, A057857.

Sequence in context: A037755 A037643 A198312 * A065898 A290188 A083196

Adjacent sequences: A057855 A057856 A057857 * A057859 A057860 A057861

Keyword

nonn

Author

Henry Bottomley, Sep 08 2000

Status

approved