A100725 Prime numbers whose binary representations are split into a maximum of 5 runs.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 151, 157, 163, 167, 179, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 281, 283, 307, 311

Offset: 1

Author

Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 11 2004

Keywords

• base
• nonn

Comments

The m-th prime is a term iff A100714(m) <= 5.

Examples

			a(3)=5 is a term because it is the 3rd prime whose binary representation splits into at most 5 runs: 5_10 = 101_2.
		

Links

• Eric Weisstein's World of Mathematics, Run-Length Encoding.

Crossrefs

Cf. A100714, A100722 (exactly 5 runs).

Programs

Mathematica

Select[Table[Prime[k], {k, 1, 50000}], Length[Split[IntegerDigits[ #, 2]]] <= 5 &]