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Primes of the form (k^2+4)/5.
2

%I #21 Jun 09 2020 03:07:25

%S 17,73,89,193,337,521,953,1009,1249,1657,2377,2833,3329,3433,4441,

%T 4561,5849,6553,7297,8081,8737,9769,11617,12401,12601,13417,15569,

%U 16937,17881,18121,20353,21649,27529,28729,29033,30577,33457,35449,36809,46273,49801

%N Primes of the form (k^2+4)/5.

%C Also equal to primes p such that 5*p-4 is a perfect square.

%H Chai Wah Wu, <a href="/A245042/b245042.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[(Range[500]^2+4)/5,PrimeQ] (* _Harvey P. Dale_, Jul 13 2014 *)

%o (Python)

%o import sympy

%o L = (k**2 + 4 for k in range(10**3))

%o [n//5 for n in L if n % 5 == 0 and sympy.ntheory.isprime(n//5)]

%Y Cf. A154418.

%Y Cf. A154616, A002327, A066436.

%K nonn

%O 1,1

%A _Chai Wah Wu_, Jul 10 2014