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A256882
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Numbers divisible by prime(d+1) for each digit d of their base-2 representation.
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13
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0, 3, 6, 12, 15, 18, 24, 30, 36, 42, 48, 54, 60, 63, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 255, 258, 264, 270, 276, 282, 288, 294, 300, 306, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402
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OFFSET
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1,2
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COMMENTS
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Also, numbers divisible by 3 which are even or have no digit zero in their base-2 representation.
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LINKS
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EXAMPLE
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6 = 110_2 (in base 6), and 6 is divisible by prime(1+1)=3 and by prime(0+1) = 2.
9 = 101_2 is not in the sequence because it is odd but has a binary digit 0.
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PROG
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is(n, b=2)=!for(i=1, #d=Set(digits(n, b)), n%prime(d[i]+1)&&return)
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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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