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 A065376 Primes of the form p + k^2, p prime and k > 0. 3
 3, 7, 11, 17, 19, 23, 29, 41, 43, 47, 53, 59, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Conjectured to contain all primes > 7549. - Robert Israel, Sep 03 2014 LINKS EXAMPLE a(3) = 11 = 2 + 3^2 = 7 + 2^2. MAPLE N = 1000: # to get all entries <= N Primes:= select(isprime, {\$1..N}): Primes intersect {seq(seq(p + k^2, p = Primes), k=1..floor(sqrt(N)))}; # Robert Israel, Sep 03 2014 PROG (PARI) lista(nn) = {forprime(p=2, nn, forprime(q=2, p-1, if (issquare(p-q), print1(p, ", "); break; ); ); ); } \\ Michel Marcus, Sep 03 2014 CROSSREFS Cf. A000040, A000290, A065377. Sequence in context: A112786 A023211 A038981 * A130090 A136059 A156284 Adjacent sequences:  A065373 A065374 A065375 * A065377 A065378 A065379 KEYWORD nonn AUTHOR Reinhard Zumkeller, Nov 03 2001 STATUS approved

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Last modified June 26 19:47 EDT 2022. Contains 354885 sequences. (Running on oeis4.)