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A283076 Smallest odd prime of the form x^2 + y^2 such that x^(2^k) + y^(2^k) is prime for all k = 1 to n. 0

%I #13 Mar 01 2017 00:28:14

%S 5,5,5,5,2823521,151062433

%N Smallest odd prime of the form x^2 + y^2 such that x^(2^k) + y^(2^k) is prime for all k = 1 to n.

%e Prime 5 = 2^2 + 1 and 2^4 + 1, 2^8 + 1, 2^16 + 1 are Fermat primes.

%e Prime 2823521 = 464^2 + 1615^2 is a term.

%e a(n) x y

%e --------- ---- ----

%e 5 2 1

%e 5 2 1

%e 5 2 1

%e 5 2 1

%e 2823521 1615 464

%e 151062433 9777 7448

%Y Cf. A182199, A282352.

%K nonn,more

%O 1,1

%A _Thomas Ordowski_ and _Altug Alkan_, Feb 28 2017

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Last modified April 16 14:17 EDT 2024. Contains 371740 sequences. (Running on oeis4.)