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A282378 Primes of the form (p^2 + q^2)/2 such that (p^4 + q^4)/2 is prime, where p and q are primes. 1
17, 89, 97, 149, 157, 229, 241, 769, 937, 1109, 1117, 1129, 1249, 1549, 1753, 2161, 2221, 2389, 3301, 3769, 4129, 4261, 4801, 4909, 5113, 5449, 5569, 5869, 6121, 6469, 7369, 7621, 7681, 8089, 8329, 8389, 8761, 9649, 10009, 10429, 11161, 11941, 12241, 12409 (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

PROG

(PARI) list(lim)=my(v=List(), p2, p4, t); lim\=1; if(lim<9, lim=9); forprime(p=3, sqrtint(2*lim-9), p2=p^2; p4=p2^2; forprime(q=3, min(sqrtint(2*lim-p2), p), if(isprime(t=(p2+q^2)/2) && isprime((p4+q^4)/2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 14 2017

CROSSREFS

Subsequence of A103739.

Sequence in context: A033654 A320872 A276318 * A248400 A139947 A162930

Adjacent sequences:  A282375 A282376 A282377 * A282379 A282380 A282381

KEYWORD

nonn

AUTHOR

Thomas Ordowski and Altug Alkan, Feb 13 2017

EXTENSIONS

More terms from Arkadiusz Wesolowski, Feb 13 2017

STATUS

approved

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Last modified August 4 19:03 EDT 2021. Contains 346455 sequences. (Running on oeis4.)