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 A282352 Smallest value of x + y such that x^(2^k) + y^(2^k) is prime for every k = 0..n, where x > y are nonnegative integers. 1
 2, 3, 3, 3, 3, 3389, 63559 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS EXAMPLE a(0) = 2 because 2^(2^0) + 0^(2^0) = 2. a(1) = 3 because 2^(2^0) + 1^(2^0) = 3 and 2^(2^1) + 1^(2^1) = 5 are prime. a(2) = 3 because 2^(2^0) + 1^(2^0) = 3, 2^(2^1) + 1^(2^1) = 5, and 2^(2^2) + 1^(2^2) = 17 are prime. a(n)     x       y -----  -----   ----- 2        2       0 3        2       1 3        2       1 3        2       1 3        2       1 3389     2669    720 63559    34559   29000 CROSSREFS Cf. A111635. Sequence in context: A089336 A089335 A088093 * A256858 A049837 A322988 Adjacent sequences:  A282349 A282350 A282351 * A282353 A282354 A282355 KEYWORD nonn,more AUTHOR Altug Alkan, Feb 12 2017 EXTENSIONS a(6) from Max Alekseyev, Feb 14 2017 STATUS approved

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Last modified January 19 21:52 EST 2019. Contains 319310 sequences. (Running on oeis4.)