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A130135 Numbers k such that prime(k^3) - k is prime. 1

%I

%S 2,4,12,30,40,42,62,66,70,72,84,88,98,112,130,150,180,248,264,298,336,

%T 342,354,408,438,450,468,482,486,546,550,558

%N Numbers k such that prime(k^3) - k is prime.

%e a(1)=2 because prime(2^3)-2 = 19-2 = 17 and 17 is prime,

%e a(2)=4 because prime(4^3)-4 = 311-4 = 307 and 307 is prime,

%e a(3)=12 because prime(12^3)-12 = 14741 and 14741 is prime, ...

%p ts_pra_3:=proc(n) local i,ans; ans := [ ]: for i from 1 to n do if (isprime(ithprime(i^(3))-i)) then ans := [ op(ans), i ]: fi: od; RETURN(ans) end: ts_pra_3(200);

%o (PARI) is(k) = isprime(prime(k^3)-k); \\ _Jinyuan Wang_, Apr 10 2020

%Y Cf. A064269 (prime(k) - k is prime), A105962 (prime(k^2) - k is prime).

%K nonn,more,less

%O 1,1

%A _Jani Melik_, Aug 01 2007

%E a(18)-a(32) from _Jinyuan Wang_, Apr 10 2020

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Last modified June 1 00:27 EDT 2020. Contains 334756 sequences. (Running on oeis4.)