

A065425


Smallest odd prime greater than n such that the decimal expansion of its base n conversion is also prime.


0



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
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OFFSET

2,1


COMMENTS

For bases above ten, use multidigit numbers to represent the new number. See the example.


LINKS

Table of n, a(n) for n=2..67.


EXAMPLE

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.


MATHEMATICA

Do[ k = PrimePi[n] + 1; While[ !PrimeQ[ FromDigits[ IntegerDigits[ Prime[k], n]]], k++ ]; Print[ Prime[k]], {n, 2, 50} ]


CROSSREFS

Cf. A065720  A065727.
Sequence in context: A165655 A157576 A105443 * A096482 A139868 A110716
Adjacent sequences: A065422 A065423 A065424 * A065426 A065427 A065428


KEYWORD

base,nonn


AUTHOR

Robert G. Wilson v, Nov 15 2001


EXTENSIONS

More terms from David Wasserman, Aug 30 2002


STATUS

approved



