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A162721 A positive integer n is included if when n is represented in binary, it contains the binary representation of every distinct prime dividing n as substrings, without overlapping of the substrings. 1
2, 3, 4, 5, 7, 8, 11, 13, 16, 17, 19, 23, 27, 29, 31, 32, 37, 41, 43, 47, 53, 54, 59, 61, 63, 64, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 108, 109, 113, 125, 126, 127, 128, 131, 137, 139, 149, 151, 157, 163, 167, 173, 175, 179, 181, 191, 193, 197, 199, 211, 216, 223, 227, 229, 233, 239, 241, 243, 245, 251, 252, 256 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..72.

EXAMPLE

20 in binary is 10100. The distinct primes dividing 20 are 2 and 5, which are 10 and 101 in binary. Both 10 and 101 occur in 10100, but with overlapping. So 20 is not in this sequence. However, 54 in binary is 110110. 54 is divisible by 2 and 3, which are 10 and 11 in binary. Both 10 and 11 occur in 110110 without overlapping. (1{10}{11}0.) So 54 is in this sequence.

CROSSREFS

Cf. A162722

Sequence in context: A307824 A081730 A162408 * A176176 A174090 A280083

Adjacent sequences:  A162718 A162719 A162720 * A162722 A162723 A162724

KEYWORD

base,nonn

AUTHOR

Leroy Quet, Jul 11 2009

EXTENSIONS

More terms from Sean A. Irvine, Dec 09 2010

STATUS

approved

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Last modified February 17 02:22 EST 2020. Contains 331976 sequences. (Running on oeis4.)