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 A205649 Hamming distance between twin primes. 14
 2, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 2, 6, 1, 2, 4, 1, 1, 3, 2, 2, 4, 1, 1, 1, 3, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 7, 1, 1, 1, 1, 3, 2, 2, 1, 4, 3, 2, 2, 1, 1, 2, 4, 1, 2, 1, 1, 2, 1, 3, 6, 1, 1, 1, 2, 1, 2, 1, 1, 5, 1, 7, 3, 1, 1, 1, 1, 3, 4, 5, 2, 1, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Twin primes for which a(n)=1 are in A122565. Conjecture: The sequence is unbounded. LINKS T. D. Noe, Table of n, a(n) for n = 1..10000 FORMULA A001359(n) == -1 (mod 2^a(n)). MATHEMATICA nn = 1000; ps = Prime[Range[nn]]; t = {}; Do[If[ps[[n]] + 2 == ps[[n + 1]], AppendTo[t, ps[[n]]]], {n, nn - 1}]; Table[b2 = IntegerDigits[t[[k]] + 2, 2]; b1 = IntegerDigits[t[[k]], 2, Length[b2]]; Total[Abs[b1 - b2]], {k, Length[t]}] (* T. D. Noe, Jan 30 2012 *) CROSSREFS Cf. A205510, A001097, A001359, A006512, A205302, A205511, A205533. Sequence in context: A029433 A337144 A088203 * A176510 A342464 A061342 Adjacent sequences: A205646 A205647 A205648 * A205650 A205651 A205652 KEYWORD nonn,base AUTHOR Vladimir Shevelev, Jan 30 2012 STATUS approved

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Last modified March 28 03:48 EDT 2023. Contains 361577 sequences. (Running on oeis4.)