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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
5, 5, 5, 5, 2823521, 151062433 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..6.

EXAMPLE

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

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

       a(n)      x      y

  ---------   ----   ----

          5      2      1

          5      2      1

          5      2      1

          5      2      1

    2823521   1615    464

  151062433   9777   7448

CROSSREFS

Cf. A182199, A282352.

Sequence in context: A024729 A046271 A341600 * A046263 A092279 A159002

Adjacent sequences:  A283073 A283074 A283075 * A283077 A283078 A283079

KEYWORD

nonn,more

AUTHOR

Thomas Ordowski and Altug Alkan, Feb 28 2017

STATUS

approved

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Last modified July 2 03:47 EDT 2022. Contains 354985 sequences. (Running on oeis4.)