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A236674
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Exponents of powers of 3 that do not contain all ten decimal digits.
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1
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 49, 50, 51, 52, 54, 55, 56, 58, 59, 66, 68, 75, 81, 84, 91, 100, 101, 104, 106
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OFFSET
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1,3
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COMMENTS
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It is conjectured that 106 is the final number in this sequence. 3^106 contains all digits except for 4.
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LINKS
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EXAMPLE
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3^44 = 984770902183611232881 does not have all ten decimal digits (the 5 is missing), thus 44 is a member of this sequence.
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MATHEMATICA
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Select[Range[0, 1000], Union[IntegerDigits[3^#]] != Range[0, 9] &] (* T. D. Noe, Jan 29 2014 *)
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PROG
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(Python)
def PanDigNot(x):
..a = '1234567890'
..for n in range(10**4):
....count = 0
....for i in a:
......if str(x**n).count(i) > 0:
........count += 1
....if count < len(a):
......print(n)
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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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