ROSECODE 353

Gaussian factorization

Philippe_57721 · Math · 2017-01-20

γ = 14159 + 71828 i

γ = (0 + i) \times (1 + 2 i) \times (2 + 3 i) \times (5 - 8 i) \times (283 - 920 i)

.
Each factor is a Gaussian prime number.

Can you find the Gaussian factorization of

1415926535897932384626433 + 7182818284590452353602874 i

Answer format:

a_{1}, b_{1} / a_{2}, b_{2} / \dots / a_{n}, b_{n}

where

a_{i} \geq 0

and

a_{i}

in ascending order.
To normalize the factors, we must have

| a_{i} | < | b_{i} |

Exemple:

0, 1 / 1, 2 / 2, 3 / 5, - 8 / 283, - 920

for

γ

.

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