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.

5, 5, 5, 5, 2823521, 151062433

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