

A112388


a(n) is the smallest prime such that a(n)^n contains every digit.


0



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
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OFFSET

1,1


COMMENTS

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, Dec 06 2005


LINKS

Table of n, a(n) for n=1..82.


MATHEMATICA

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 *)


CROSSREFS

Cf. A020666, A020665, A007377.
Sequence in context: A261458 A296158 A172688 * A225298 A050288 A173051
Adjacent sequences: A112385 A112386 A112387 * A112389 A112390 A112391


KEYWORD

base,nonn


AUTHOR

Tanya Khovanova, Dec 05 2005


EXTENSIONS

More terms from Robert G. Wilson v, Dec 06 2005


STATUS

approved



