

A100725


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


0



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
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OFFSET

1,1


COMMENTS

The nth prime is a member iff A100714(n)<=5


LINKS

Table of n, a(n) for n=1..59.
Eric Weisstein's World of Mathematics, "RunLength Encoding."


EXAMPLE

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


MATHEMATICA

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


CROSSREFS

Cf. A100714, A000040.
Sequence in context: A049551 A058853 A049569 * A050260 A095316 A095313
Adjacent sequences: A100722 A100723 A100724 * A100726 A100727 A100728


KEYWORD

base,nonn


AUTHOR

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


STATUS

approved



