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A095748
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Almost maximally asymmetric primes in binary.
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4
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17, 31, 37, 41, 47, 59, 61, 67, 89, 97, 103, 139, 149, 163, 197, 263, 269, 283, 293, 307, 353, 359, 379, 389, 409, 433, 439, 449, 461, 499, 541, 557, 607, 613, 631, 659, 727, 743, 809, 829, 877, 929, 941, 953, 997, 1009, 1039, 1051, 1151, 1171
(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)-4)/2). Those numbers contain just two bits mirroring each other, beyond the first and last bits. (All the odd primes without leading zeros begin and end in bits one.)
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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(5)=(101111)2. In this case, from left to right, the third bit mirrors with the forth. The prime 53 = (110101)2 is not a term since the symmetry is limited to the first and last bits.
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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, 1171, if(A037888(p)==floor((A070939(p)-4)/2), print1(p, ", ")))
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CROSSREFS
| Cf. A095758, A095749, A095743.
Sequence in context: A052006 A002675 A087166 * A172287 A062579 A134076
Adjacent sequences: A095745 A095746 A095747 * A095749 A095750 A095751
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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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