A320103 Let f(1) = 1 + i (where i denotes the imaginary unit) and for n > 0, f(n+1) is the Gaussian prime in the first quadrant (with positive real part and nonnegative imaginary part) with least modulus that divides 1 + Product_{k=1..n} f(k) (in case of a tie minimize the imaginary part); a(n) is the real part of f(n).

1, 2, 2, 3, 27, 2, 1, 19953, 1, 3, 4, 5, 1, 100543, 4, 5, 1375, 6, 67, 100129349439, 35, 22, 7200537, 11, 90, 733, 1653333714972695690441280142887575811965481459539542336

Offset

1,2

Comments

See A319920 for the square of the modulus of f and additional comments.

Links

Table of n, a(n) for n=1..27.

Crossrefs

Cf. A319920.

Sequence in context: A036503 A109590 A074935 * A212796 A078239 A083113

Adjacent sequences: A320100 A320101 A320102 * A320104 A320105 A320106

Keyword

nonn

Author

Rémy Sigrist, Oct 06 2018

Status

approved