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A289135 Prime numbers p such that 3*p - 2 is the square of a prime number. 2
2, 17, 41, 97, 281, 457, 617, 937, 1777, 2081, 2297, 3137, 6257, 12161, 18097, 21001, 23057, 24121, 24481, 25577, 26321, 42961, 47881, 50441, 62497, 70841, 76481, 90481, 97561, 110977, 120401, 132721, 139537, 152777, 159161, 172321, 182041 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = (A109953(n)^2 + 2) / 3.

MATHEMATICA

Select[Prime@ Range@ 20000, PrimeQ@ Sqrt[3 # - 2] &] (* Michael De Vlieger, Jun 26 2017 *)

PROG

(PARI) forprime(n=2, 10000, if(isprimepower(3*n-2)==2, print1(n", ")))

(PARI) list(lim)=my(v=List([2]), p); forprime(q=7, sqrtint(lim\1*3-2), if(isprime(p=(q^2+2)/3), listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Jul 16 2017

CROSSREFS

Cf. A109953.

Sequence in context: A000956 A031906 A045390 * A072582 A186687 A256145

Adjacent sequences:  A289132 A289133 A289134 * A289136 A289137 A289138

KEYWORD

nonn

AUTHOR

Dimitris Valianatos, Jun 25 2017

STATUS

approved

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Last modified January 22 16:25 EST 2020. Contains 331152 sequences. (Running on oeis4.)