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A334345
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Numbers k such that k and k+1 are both binary Moran numbers (A334344).
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3
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115, 355, 1266, 1555, 1686, 1795, 4195, 4206, 4962, 5155, 5298, 6978, 9235, 10002, 11230, 13315, 18822, 21752, 22602, 23106, 26072, 29816, 40616, 42258, 60056, 60730, 64690, 68802, 83586, 87272, 91736, 94616, 100990, 107526, 108910, 109448, 113192, 121112, 125436
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OFFSET
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1,1
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LINKS
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EXAMPLE
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115 is a term since 115/A000120(115) = 23 and 116/A000120(116) = 29 are both prime numbers.
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MAPLE
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q:= n-> (p-> is(p, integer) and isprime(p))(n/add(i, i=Bits[Split](n))):
select(k-> q(k) and q(k+1), [$1..126000])[]; # Alois P. Heinz, Apr 23 2020
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MATHEMATICA
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binMoranQ[n_] := PrimeQ[n / DigitCount[n, 2, 1]]; Select[Range[10^5], binMoranQ[#] && binMoranQ[# + 1] &]
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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