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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

Table of n, a(n) for n=0..6.

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 A098201

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 February 18 15:08 EST 2018. Contains 299324 sequences. (Running on oeis4.)