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Search: id:A065425
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| A065425 |
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Least nontrivial prime greater than n such that the decimal expansion of its base n conversion is also prime. |
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+0
1
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| 3, 67, 5, 13, 7, 17, 11, 37, 11, 31, 13, 29, 17, 41, 17, 37, 19, 41, 23, 53, 23, 113, 31, 53, 29, 109, 29, 61, 31, 71, 41, 89, 37, 73, 37, 83, 41, 89, 41, 109, 43, 89, 47, 101, 47, 97, 61, 101, 53, 113, 53, 109, 61, 113, 59, 137, 59, 127, 61, 131, 71, 137, 67, 139, 67, 137
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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For bases above ten, use multidigit numbers to represent the new number. See the example.
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EXAMPLE
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a(15) = 41. 17d = 12, 19d = 14, 23d = 18, 29d = 114, 31d = 21, and 37d = 27, all of which are composite. But 41d = 211 which is a prime.
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MATHEMATICA
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Do[ k = PrimePi[n] + 1; While[ !PrimeQ[ FromDigits[ IntegerDigits[ Prime[k], n]]], k++ ]; Print[ Prime[k]], {n, 2, 50} ]
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CROSSREFS
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Cf. A065720 - A065727.
Sequence in context: A028567 A003359 A105443 this_sequence A096482 A139868 A110716
Adjacent sequences: A065422 A065423 A065424 this_sequence A065426 A065427 A065428
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KEYWORD
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base,nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 15 2001
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Aug 30 2002
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