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A225421 Prime numbers consisting of only odd digits such that there is only one permutation of its digits that produces a prime number. 1
3, 5, 7, 11, 19, 53, 59, 151, 353, 557, 599, 773, 997, 5557, 7559, 11119, 15559, 59999, 71777, 75553, 79999, 99991, 191999, 511111, 555557, 575557, 775777, 777977, 799979, 1111151, 3353333, 5595559, 5755559, 7577777, 9999991, 33335333, 55555553, 55555559 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..38.

MATHEMATICA

t2 = Select[Prime[Range[100000]], Intersection[{0, 2, 4, 6, 8}, Union[IntegerDigits[#]]] == {} &]; t = {}; Do[If[Length[Select[Table[FromDigits[k], {k, Permutations[IntegerDigits[p]]}], PrimeQ]] == 1, AppendTo[t, p]], {p, t2}]; t

edpQ[n_]:=Module[{idn=IntegerDigits[n]}, AllTrue[idn, OddQ]&&Count[ FromDigits/@ Permutations[idn], _?PrimeQ]==1]; Select[Prime[ Range[ 332*10^4]], edpQ] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Nov 25 2018 *)

CROSSREFS

Cf. A039986 (similar, but allowing even digits also).

Sequence in context: A133846 A056208 A323065 * A175235 A060643 A025077

Adjacent sequences:  A225418 A225419 A225420 * A225422 A225423 A225424

KEYWORD

nonn,base

AUTHOR

T. D. Noe, May 07 2013

STATUS

approved

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Last modified October 22 10:24 EDT 2019. Contains 328317 sequences. (Running on oeis4.)