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A130135 Numbers k such that prime(k^3) - k is prime. 1
2, 4, 12, 30, 40, 42, 62, 66, 70, 72, 84, 88, 98, 112, 130, 150, 180, 248, 264, 298, 336, 342, 354, 408, 438, 450, 468, 482, 486, 546, 550, 558 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..32.

EXAMPLE

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

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

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

MAPLE

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);

PROG

(PARI) is(k) = isprime(prime(k^3)-k); \\ Jinyuan Wang, Apr 10 2020

CROSSREFS

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

Sequence in context: A148184 A148185 A215871 * A048618 A083554 A059412

Adjacent sequences:  A130132 A130133 A130134 * A130136 A130137 A130138

KEYWORD

nonn,more,less

AUTHOR

Jani Melik, Aug 01 2007

EXTENSIONS

a(18)-a(32) from Jinyuan Wang, Apr 10 2020

STATUS

approved

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Last modified March 6 00:22 EST 2021. Contains 341835 sequences. (Running on oeis4.)