

A320725


Prime numbers such that all other numbers obtained from all permutations of all subsets of the digits are nonprime.


1



2, 3, 5, 7, 11, 19, 41, 61, 89, 409, 449, 499, 881, 6469
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OFFSET

1,1


COMMENTS

Sequence is finite since it is a subsequence of a finite sequence (A071062).
This is complete: there are only 14 terms in the sequence.


LINKS

Table of n, a(n) for n=1..14.


EXAMPLE

449 is in this sequence because it's prime and none of the numbers 4, 9, 44, 49, 94, 494 and 944 is prime.


MATHEMATICA

Select[Prime@ Range[10^3], NoneTrue[DeleteCases[FromDigits /@ Rest@ Union@ Apply[Join, Permutations /@ Subsets@ IntegerDigits@ #], #], PrimeQ] &] (* Michael De Vlieger, Oct 22 2018 *)


CROSSREFS

Subsequence of A071062.
Cf. A320726 (the same for composite numbers).
Sequence in context: A089769 A033274 A071062 * A320771 A002231 A087769
Adjacent sequences: A320722 A320723 A320724 * A320726 A320727 A320728


KEYWORD

nonn,base,fini,full


AUTHOR

Daniel Lignon, Oct 19 2018


STATUS

approved



