A048982 Number of numbers which have a "prime-rich" reduced residue system (RRS) and binary order n.

0, 0, 0, 1, 3, 8, 15, 22, 32, 50, 85, 80, 98, 84, 59, 37, 10, 2, 0, 0, 0

Offset

0,5

Comments

It is remarkable that in exponentially increasing ranges these occurrences increase to n=13 and thereafter decline to zero. So A048868 is believed to be finite.

Links

Table of n, a(n) for n=0..20.

Example

In binary order (A029837) zone of 7, i.e., in [65,128], 22 numbers belong to A048868: 66, 68, 70, 72, 74, 76, 78, 80, 84, 88, 90, 96, 98, 100, 102, 104, 108, 110, 112, 114, 120, and 126. The largest term is 90090. The largest 4 are divisible by 2310, the largest 28 by 210, and the largest 103 by 30.

Crossrefs

Cf. A048862, A048863, A048864, A048865, A048866, A048867, A048868, A048869.

Cf. A002110, A029837, A048597.

Sequence in context: A060320 A162372 A101711 * A294399 A331943 A064356

Adjacent sequences: A048979 A048980 A048981 * A048983 A048984 A048985

Keyword

nonn,more

Author

Labos Elemer

Status

approved