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

Author

Labos Elemer

Keywords

• nonn
• more

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.

Examples

			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.