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A052494 Number of different primes that can be formed by permuting digits of n-th prime. 1

%I #13 Dec 14 2014 02:04:11

%S 1,1,1,1,1,2,2,1,1,1,2,2,1,1,1,1,1,1,1,2,2,2,1,1,2,1,1,2,1,3,2,3,3,2,

%T 4,1,3,3,3,3,4,2,2,2,4,3,1,1,1,1,1,2,2,2,1,1,1,2,2,2,2,2,1,3,2,3,2,3,

%U 2,2,1,3,2,3,4,1,3,4,1,1,4,2,1,1,2,1,1,2,2,2,2,2,1,4,1,1,1,2,1,1,2,1,2,2,3

%N Number of different primes that can be formed by permuting digits of n-th prime.

%C Leading zeros not permitted, so, e.g., prime(27) = 103 but a(27) = 1 even though 13 and 31 are both primes. - _Harvey P. Dale_, Dec 17 2012

%e a(75)=4 because the digits in 379 may be arranged to form a total of 4 primes: 379, 397, 739 and 937.

%t ndp[n_]:=Module[{pers=FromDigits/@Permutations[IntegerDigits[n]]}, Count[ pers,_?(IntegerLength[#]==IntegerLength[n]&&PrimeQ[#]&)]]; ndp/@ Prime[ Range[110]] (* _Harvey P. Dale_, Dec 17 2012 *)

%Y A039999, A046810.

%K base,easy,nonn

%O 2,6

%A _Enoch Haga_, Mar 16 2000

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