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A107932
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Numbers n such that n and n-th prime have only one common digit = 1.
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3
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11, 13, 18, 31, 41, 81, 100, 112, 113, 114, 115, 121, 125, 126, 128, 133, 135, 141, 152, 156, 157, 160, 164, 167, 171, 174, 175, 176, 177, 178, 179, 182, 184, 185, 186, 188, 190, 191, 192, 193, 194, 195, 197, 198, 199
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OFFSET
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1,1
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COMMENTS
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Other cases of common digit d: A107931 (d=0), A107933 (d=2), A107934 (d=3), A107935 (d=4), A107936 (d=5), A107937 (d=6), A107938 (d=7), A107939 (d=8), A107940 (d=9). Cf. A107930 - smallest m's for digits 0,...,9.
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LINKS
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EXAMPLE
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a(1)=11 because 11th prime, 31 and 11 have the only common digit = 1 and 11 is the smallest such a number.
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MATHEMATICA
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bb={}; Do[If[IntegerDigits [n]\[Intersection]IntegerDigits [ Prime[n]]\[Equal]{1}, bb=Append[bb, n]], {n, 200}]; bb
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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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