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Search: id:A112388
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| A112388 |
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a(n) is the smallest prime such that a(n)^n contains every digit. |
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+0
1
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| 10123457689, 101723, 5437, 2339, 1009, 257, 139, 173, 83, 67, 31, 29, 37, 17, 17, 47, 19, 7, 5, 23, 23, 5, 11, 11, 17, 5, 5, 5, 5, 11, 5, 11, 11, 5, 5, 7, 5, 7, 3, 5, 5, 7, 7, 7, 3, 7, 3, 3, 5, 5, 5, 5, 3, 7, 7, 5, 3, 7, 5, 3, 3, 3, 3, 3, 3, 5, 3, 2, 3, 2, 3, 3, 3, 3, 5, 3, 3, 3, 2, 3, 5, 2
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The indices of the corresponding primes are 460412186,9741,718,346,169,55,34,40,23,19,11,10,12,7,7,15,8,4,3,9, ..., . - Robert G. Wilson v (rgwv(at)rgwv.com), Dec 06 2005
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MATHEMATICA
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f[n_] := Block[{k = 1}, While[ Union@IntegerDigits[ Prime[k]^n] != {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, k++ ]; Prime[k]]; Array[f, 82] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A020666, A020665, A007377.
Sequence in context: A017278 A017518 A017650 this_sequence A050288 A159569 A159292
Adjacent sequences: A112385 A112386 A112387 this_sequence A112389 A112390 A112391
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KEYWORD
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base,nonn
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AUTHOR
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Tanya Khovanova (tanyakh(AT)yahoo.com), Dec 05 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Dec 06 2005
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