login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A257318
Numbers n whose binary expansion can be written as the concatenation of the binary expansion of prime numbers in at least two different ways (not allowing leading zeros).
3
11, 23, 29, 31, 43, 45, 46, 47, 59, 61, 63, 71, 79, 83, 87, 91, 93, 94, 95, 109, 113, 118, 119, 123, 125, 126, 127, 151, 157, 167, 171, 173, 174, 175, 179, 181, 182, 183, 186, 187, 189, 190, 191, 219, 223, 229, 233, 235, 237, 238, 239, 241, 245, 246, 247, 251, 253, 254, 255, 271, 283, 286, 287
OFFSET
1,1
COMMENTS
Numbers such that A090418(n)>1. A090423 is a subsequence. - M. F. Hasler, Apr 21 2015
LINKS
EXAMPLE
The first term is 11, as 11 in base 2 is 1011, which can be written either as (1011) or (10)(11).
PROG
(PARI) is_A257318(n)={A090418(n)>1} \\ M. F. Hasler, Apr 21 2015
CROSSREFS
Cf. A090421.
Sequence in context: A061752 A122259 A157173 * A090423 A232085 A086102
KEYWORD
nonn,base
AUTHOR
Jeffrey Shallit, Apr 20 2015
STATUS
approved