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A095747
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Maximally asymmetric odd primes in binary.
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3
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3, 5, 7, 11, 13, 19, 23, 29, 43, 53, 71, 79, 83, 101, 109, 113, 151, 179, 233, 241, 271, 311, 331, 347, 397, 421, 457, 599, 683, 739, 797, 853, 937, 977, 1087, 1103, 1223, 1307, 1427, 1459, 1597, 1613, 1733, 2017, 2111, 2143, 2503, 2731, 3011
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Primes p for which A037888(p) = floor((A070939(p)-2)/2). Those numbers contain just the first and last bits mirroring each other. Hence all the odd primes without leading zeros begin and end in bits one, the unique totally asymmetric prime is (10)2 = 2.
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LINKS
| A. Karttunen, J. Moyer: C-program for computing the initial terms of this sequence
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EXAMPLE
| a(10)=(110101)2 since the symmetry is limited to the first and last bits. The number 47=(101111)2 is not a term because from left to right, the third bit mirrors with the forth.
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PROG
| (PARI)A070939(p)={return(floor(log(p)/log(2))+1)};
A037888(p)={v=binary(p); s=0; j=#v; for(k=1, #v, s+=abs(v[k]-v[j]); j--); return(s/2); }; forprime(p=3, 3011, if(A037888(p) ==floor((A070939(p)-2)/2), print1(p, ", ")))
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CROSSREFS
| Cf. A095757, A095749, A095748.
Sequence in context: A095070 A079733 A179538 * A132779 A192869 A075323
Adjacent sequences: A095744 A095745 A095746 * A095748 A095749 A095750
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KEYWORD
| nonn,base
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AUTHOR
| Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 12 2004
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EXTENSIONS
| Edited by W. Bomfim, (webonfim(AT)bol.com) Jan 13, 2011.
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