cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A319920 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 square of the modulus of f(n).

Original entry on oeis.org

2, 5, 13, 9, 1129, 29, 17, 651250309, 5, 13, 17, 29, 37, 16767128453, 41, 133981, 2236369, 61, 45293, 22481146745713207066897, 12041, 653, 51908348513173, 121, 11821, 779353
Offset: 1

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Author

Rémy Sigrist, Oct 01 2018

Keywords

Comments

The real and imaginary parts of f are respectively given by A320103 and A320104.
This sequence is a complex variant of the Euclid-Mullin sequence (A000945).
All terms belong to A055025.

Crossrefs

Programs

  • PARI
    See Links section.

Formula

a(n) = A320103(n)^2 + A320104(n)^2.
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